Unit 1 Study Guide

Find the Product

.𝟔×.𝟐𝟑=¿

𝟑𝟏𝟒÷𝟑𝟓

=¿

Find the GCFof

24 and 48

𝟓𝟓𝟕−𝟐

𝟑𝟓

=¿

What is the first step when you add or subtract decimals?

𝟕𝟖×𝟒𝟔

=¿

Find the LCM of

8 and 22

59.28 ÷ 3.8 =

14

Change to an Improper Fraction

𝟏𝟏𝟕𝟖

15.07 + .98 + 9.23 + 102.034 =

𝟐𝟐𝟓𝟏𝟐

+𝟑𝟒𝟕𝟏𝟖

=¿

Find the GCF and LCM Of

18, 24, and 8

What do you call this type of decimal?

.312312

A new book at the store costs $53.07. You have a $22.78 credit at the store. How much money do you need to bring to the store to buy the book?

Adding Fractions1. Set up Vertically2. Find Least Common Denominator 3. Add4. Simplify

Subtracting Fractions1. Set up Vertically2. Find Least Common Denominator 3. Borrow if needed4. Subtract5. Simplify

Multiplying Fractions/Mixed Numbers1. Set up in fraction form2. Multiple numerator by numerator3. Multiply denominator by denominator4. Simplify

Dividing Fraction/Mixed Numbers1. Set up on fraction form2. Keep first fraction the same3. Change division to multiplication4. Multiply by the reciprocal5. Simplify

Tom rode his bike 2/5 of a mile and walked another 1/4 of a mile. How far did he travel?

Your grandma's chocolate chip cookie recipe requires 3/4 of a cup of flour. If you're making a double recipe, how much flour should be used?

Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?

A piece of cloth measuring 48 m in length is cut to 3/4 of its length. How many meters in length are there in the piece that has been removed?

Hot dogs a sold in packages of 8 and hot dog buns are sold in packages of 12. If you want to have the same number of hot dogs and hotdog bums, how many packs of each do you have to buy?

Adding and Subtracting Decimals1. Line up decimals2. Add zeros if wanted3. Add or Subtract 

Multiplying Decimals1. Set up with problem with the number that has the most digits on top2. Multiply3. Count the total number of decimal places in the numbers being multiplied4. Place the decimal using the previous number counted (Count the places from right to left)

1. 2.234 x 7 2. 2.234 x 7 1 5 6 3 8 3. 2.234 ----> 3 places x 7 ----> 0 places 1 5 6 3 8 4. 2.234 x 7 1 5.6 3 8 <---- place decimal 3 places counting from right to left

Multiplying Decimals Example

Dividing Decimals

For problems with decimal in dividend only (dividend ÷ divisor = quotient or number inside the box)

 1. Move decimal up2. Divide For problems with decimal in divisor (dividend ÷ divisor = quotient or number outside the box) 3. Move decimal in divisor (number outside the box)4. Move decimal in dividend (number inside the box)5. Move decimal up6. Divide 

Dividing Decimal Example

2.244 ÷ .32

1.

.32 12.244 Move decimal outside 2 places

2.

32 12.244 Move decimal inside 2 places .

3.

32 1224.4 Move decimal up

4. Divide