Decimals

How can your understanding of place value and fractions help

you understand decimals?

5 minutes to Drain your Brain!Write EVERYTHING you know about FRACTIONSWrite EVERYTHING you know about PLACE VALUE

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Fractions Place Value

Task 1- I do!Use the hundreds blocks to represent the fraction 7/10. Write it as a decimal.

1 whole 1 tenth (.1) 1 Hundredth (.01)

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

0 0 . 7 0

.7 or .70

Task 2 – I do!Use the hundreds blocks to represent the fraction 2 15/100. Write it as a decimal.

1 whole 1 tenth (.1) 1 Hundredth (.01)

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

0 2 . 0 151 5

2.15

Task 3 – We do!Use the hundreds blocks to represent the fraction 72/100. Write it as a decimal.

1 whole 1 tenth (.1) 1 Hundredth (.01)

Task 4

Use the hundreds blocks to represent the fraction 6 43/100. Write it as a decimal.

Use the hundreds blocks to represent the fraction 4 3/10. Write it as a decimal.

Task 3 – Few do!

Task 5Use the hundreds blocks to represent the fraction 99/100. Write it as a decimal.

1 whole 1 tenth (.1) 1 Hundredth (.01)

Decimals

How can your understanding of place value and fractions help

you understand decimals?

Task 6 – You do!Use the information in the picture below to:1. Write a fraction2. Write a decimal

Task 7 – You do!Use the number below to:1. Write a fraction2. Draw an illustration

.5

Answers

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

637 .

Task 6

Task 7

510

361007

Drop back and punt

Use you transparency to figure out the following:

15100

Write it as a decimal!

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

.

Task 1 – I do!Use you transparency to figure out the following:

70100

Write it as a decimal!How does this compare to tenths?

TENS ONES DECIMAL

POINTTENTHS HUNDREDTHS

0 . 7 0

Task 2 – I do!Use you transparency to figure out the following:

22100

Write it as a decimal!How does this compare to tenths?

TENS ONES DECIMAL

POINTTENTHS HUNDREDTHS

0 . 2 2

Task 3 – Few do!Use you transparency to figure out the following:

Write them as a decimal!How do they compare to tenths?

TENS ONES DECIMAL

POINTTENTHS HUNDREDTHS

0 . 2 2

50 100

62 100

20 100

84 100

You Do – Challenge!

Show a pictorial representation of the following word problem.

To assist you, you may use: Your transparency

ManipulativesA place value chart

Norman and Dianna are so confused. They want to know how much of the banana their mother ate. Mama gave Norman seven tenths of a banana and Dianna got five tenths. Greedy mama ate the rest. How many tenths did she eat?

*hint find out how many bananas Norman and Dianna ate

Mama ate eight tenths.

Norman and Dianna ate 1 2/10 bananas. That means mama had to cut 2 bananas. There were eight tenths remaining.

Decimals

How can your understanding of place value and fractions help

you when comparing decimals?

Read Think Write

What does it mean to compare in mathematics?

THINK

Writ

e

I Do!

Compare twelve hundredths to two tenths

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

. 1 2

2 0.

.12 .20<

I Do!

Compare five and three tenths to five and thirty hundredths

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

. 3 0

3 0.

5.30 5.30=

5

5

I Do!

Compare six and twenty five hundredths to four and six tenths

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

. 2 5

6 0.

6.25 4.60>

6

4

We Do!

Compare fourteen hundredths to one tenth

TENS ONES DECIMALPOINT

TENTHS HUNDREDTHS

. 1 4

1 0.

.14 .10>

Few Do!Task 1

Compare thirty two hundredths to fourteen tenths

.32 < 1.40

Task 2 Compare seven and four tenths to seven and forty two hundredths

7.40 < 7.42

Task 3Compare seventy hundredths to fifty

two hundredths

Task 5 Compare four and seven tenths to

four and four tenths

Task 6 Compare seven and thirty four

hundredths to 7 36/100

Task 4 Compare 2/10 to .2

.70 > .52.2 = .2

4.7 > 4.4 7.34 < 7.36

You Do!

Create one decimal comparison to use for

tomorrow’s APK!

Try this on for size!

Solve the following problem using two representations.• Representation 1: Number line• Representation 2: Your choice!

Shelby was measuring the width of a paperclip and found that it was 1/2 inch. What decimal is equivalent to width of the paperclip?

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