Math1003 1.4 - Order of Operations

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

1.4Order ofOperations

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Goal

To correctly follow the order of operationswhen performing calculations.

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

What is the value of

1 + 2 • 3 - 4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

What is the value of

1 + 2 • 3 - 4

3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

What is the value of

(1 + 2) • 3 - 4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

What is the value of

(1 + 2) • 3 - 4

5

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

What is the value of

1 + 2 • (3 - 4)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

What is the value of

1 + 2 • (3 - 4)

-1

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Why do we need to have rules regarding the “order of operations”?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Why do we need to have rules regarding the “order of operations”?

So that we can consistenty “talk” the same language with regards to solving equations.

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

went left to right

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

added 5 and 2 (=7), subtracted that

from 8 (=1), multiplied by 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

multiplied 2 and 3 (=6), added that to 5 (=11), and subtracted

that from 8

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

multiplied 2 and 3 (=6), subtracted 5 from 8 (=3), added that to 6

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

Imagine if we didn’t have an “order of operations”…

Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9

Who has the correct answer?

XXX√

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

PEDMASor

BEDMAS

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

((5 + 3) + ((2 - 4) + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + ((2 - 4) + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + ((2 - 4) + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + ((2 - 4) + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + ((2 - 4) + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

((5 + 3) + ((-2) + 7))

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + (-2 + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + (-2 + 7))

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

((5 + 3) + (-2 + 7))

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

((5 + 3) + (5))

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + 5)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

((5 + 3) + 5)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

((5 + 3) + 5)

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

((8) + 5)

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(8 + 5)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(8 + 5)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

(8 + 5)

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(13)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

13

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

243

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

243

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

243

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

264

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

264

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

18446744073709551616

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(24)3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(24)3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(24)3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

(16)3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

163

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

163

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

4096

1. Parentheses (brackets) (from the inside out)

2. Exponents (from right to left)

3. Division and Multiplication (from left to right)

4. Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

23 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

23 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

23 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

23 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

23 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

8 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

8 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

8 - 4 • 3

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

8 - 12

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

8 - 12

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

23 - 4 • 3 = -4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + (23)2

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + (23)2

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + (23)2

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + (8)2

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + 82

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + 82

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 4 + 82

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 4 + 64

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 4 + 64

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 4 + 64

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

12 + 64

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

12 + 64

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

76

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Order of Operations

1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)

3 • 22 + (23)2 = 76

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

23 - 3 • 4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

23 - 3 • 4

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

23 - 3 • 4

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 - 3 • 4

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 - 3 • 4

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 - 12

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 - 12

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

-4

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

23 - 3 • 4 = -4

-4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • (5 - 1)) + 4

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • (5 - 1)) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • (5 - 1)) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • (4)) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • 4) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • 4) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • 4) + 4

74

inside these brackets we have to follow the “order of

operations”

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • 4) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 12) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 12) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (14) + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • 14 + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • 14 + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

70 + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

70 + 4

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

74

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

5 • (2 + 3 • (5 - 1)) + 4 = 74

74

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

(3 + (5 - 2 • (1 + 2))) - 1

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

(3 + (5 - 2 • (1 + 2))) - 1

1

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

(3 + (5 - 2 • (1 + 2))) - 1

1= (3 + (5 - 2 • (3))) - 1= (3 + (5 - 2 • 3)) - 1= (3 + (5 - 6)) - 1= (3 + (-1)) - 1 = (2) - 1= 1

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 + 3 - 5 + 4 - 2 = 0

Place brackets to make the expression correct

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 + 3 - (5 + 4) - 2 = 0

Place brackets to make the expression correct

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 + 3 - 5 + 4 - 2 = 4

Place brackets to make the expression correct

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

8 + 3 - (5 + 4 - 2) = 4

Place brackets to make the expression correct

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

a) 7 - (4 / 2) + 8b) 7 - 4 / (2 + 8)c) (7 - 4) / 2 + 8

Which of these has the greatest result?

C 13.5

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Team Checkup

a) 5 - (23 - 9) / 3b) (5 - 23) - 9 / 3c) 5 - (23 - 9 / 3)

Which of these has the smallest result?

B -6