Whole Numbers and Decimals

Lesson 1.1Page 4-5

Lesson 1.1:Whole Numbers & Decimals (pg. 4-5)

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Lesson 1.1: pg. 5, # 6-19

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Standards:

CA Content Standards

• Number Sense 1.1, Grade 5: We manipulate very large (e.g. millions) and very small (e.g. thousandths) numbers.

• Mathematical Reasoning 1.0: We make decisions about how to approach problems.

Lesson 1.1:Whole Numbers & Decimals (pg. 4-5)

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Lesson 1.1: pg. 5, # 6-19

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Standards:

Vocabulary:

Vocabulary: WHOLE NUMBER

• AKA: a counting number.

• One of the complete numbers (1, 2, 3, …) or zero.

Vocabulary: DECIMAL

• A symbol (.) used to demonstrate that a number is a fraction or not complete.

• The opposite of a whole number.

• For example: 1.5, 8.77, 9.201

Vocabulary: PLACE VALUE CHART

• A tool used to organize numbers.

• The chart shows the order and names of the places for a number.

Vocabulary: STANDARD FORM

• Use one or more of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 to write a number.

• Example: 1,023

Vocabulary: SHORT WORD FORM

• Use the words billions, millions, thousands, etc. to write a number.

• Use the word ‘and’ to represent the decimal.

• Example: 1 thousand, 23

Vocabulary: EXPANDED FORM

• Break the number down into each digit and use addition signs.

• Example: 1000 + 20 + 3

Lesson 1.1:Whole Numbers & Decimals (pg. 4-5)

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Lesson 1.1: pg. 5, # 6-19

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Standards:

Vocabulary:

Objective:

Objective:

• Use place value to understand whole numbers to the billions and decimals to the hundred-thousandths.

• Math Link: You know how to use place value with numbers like 257 and 0.3 Now you will learn how place value can help you understand large whole numbers and decimals.

Lesson 1.1:Whole Numbers & Decimals (pg. 4-5)

09/22/08

7R

Lesson 1.1: pg. 5, # 6-19

09/22/08

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Standards:

Vocabulary:

Objective:

Notes/ Examples:

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

Place Value Chart

Example 1.

• Write the value of the 2 in 36.00025 in short word form.

3 6 . 0 0 0 2 5

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

2 Ten-thousandths

Example 2.

• Write the value of the 5 and the 0 in 346,294,586.920 in short word form.

3 4 6 2 9 4 5 8 6 . 9 2 0

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

5 Hundreds0 Thousandths

Example 3.

• Write the value of the 4 in 341,984,654 in short word form.

3 4 1 9 8 4 6 5 4

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

4 Ten millions4 Thousands

4 Ones

Example 4.

• Write the value of the 6 in 144.0086 in short word form.

1 4 4 . 0 0 8 6

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

6 Ten-thousandths

Example 5.

• An African, male elephant weighs about 15, 400 pounds.

1 5 4 0 0

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

1. What is the value of the 5?5 thousands

2. What is the value of the 0?o tens or 0 ones

3. Write this number in standard form.15,400

4. Write this number in short word form.15 thousand, 400

5. Write this number in expanded form.10,000 + 5,000 + 400

Example 6.

• The number of people living on Earth grows daily. Right now, the population is 6, 035, 479, 518.

6 0 3 5 4 7 9 5 1 8

Hundre

d b

illio

ns

Ten b

illio

ns

Bill

ions

Hundre

d m

illio

ns

Ten m

illio

ns

Mill

ions

Hundre

d T

housa

nds

Ten T

housa

nds

Thousa

nds

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousa

ndth

s

Ten-t

housa

ndth

s

Hundre

d-

thousa

ndth

sM

illio

nth

s

BILLIONS MILLIONS THOUSANDS

ONES DECIMALS

1. What is the value of the 3?3 Ten millions

2. What is the value of the 8?8 Ones

3. Write this number in standard form.6,035,479,518

4. Write this number in short word form.6 billion, 35 million, 479 thousand, 518

5. Write this number in expanded form.6,000,000,000 + 30,000,000 + 5,000,000 + 400,000 + 70,000 + 9,000

+ 500 + 10 + 8

Lesson 1.1:Whole Numbers & Decimals (pg. 4-5)

09/22/08

7R

Lesson 1.1: pg. 5, # 6-19

09/22/08

7L

Standards:

Vocabulary:

Objective:

Notes/ Examples:

Moral of the Story:

[Tape ‘Place Value Chart’ here].

The Moral of the Story

• A place-value chart can help you read and understand very large and very small numbers.

Independent Practice

• On your place value chart, create a challenging number.

• On the L side of your notebook, find the standard, short word, and expanded forms of your number.

• Trade place value charts with a table partner (do not give them the answer in your notebook).

• Partners, use the clue from your partner to identify the standard, short word, and expanded forms of his/her number.

• Return to the author, so he/she may check if it is correct.

Math Minute # 1

① 6 x 3 =

② How many ears do eight dogs have in all?

③ If n + 2 = 7, then n=

④ There were eight bugs on the ground. Now there are six. How many flew away?

⑤ 2 x 3 x 2=

Math Minute # 1 Continued

⑥ 4 x 6 + ___ = 31

⑦ 3, 6, 9, 12, ___, ___, ___

⑧ Seven bicycles have ___ wheels in all.

Use <, >, or = for 9 and 10.

⑨ 3 weeks ___ 20 days

⑩ 1 cm ___ 1 inch