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Decimal Basics

Ordering and Comparing

Reading and Writing

Rounding and Estimating

Rounding

NEED TO KNOW PLACE VALUE

Example 1

4 or less---let the REST

5 or more---RAISE the score

Round 142.638 to the nearest HUNDREDTH.

142.638. The 8 is 5 or more so we RAISE the score.

Therefore, 142.638 rounds to 142.64

Writing

You Try

Example 2

Underline the place value that is being rounded too.

Look at the next digit to the RIGHT

Follow the slogan.

Work BACKWARDS:

Figure out the ending place value FIRST.

The LAST digit of the read number is placed in the ending place value.

Example 1

Round 15.739 to the nearest TENTH

15.739 The 3 is 4 or less so we let

it REST.

Therefore, 15.739 rounds to 15.7

Practice

Order the following from Least to Greatest.

1.1, 106.07

1.01, 106.7

.6,

.06,

.62

365 ten-thousandths .365

Your Turn

PLACE VALUE CHART

Work on the Naming Decimal Activity with your shoulder partner.

1.1 and 1.01

1.10 Reads as one and ten hundredths

1.01 Reads as one and one hundredth

Estimating

Example 1

Steps to Compare Decimals

Estimate 18.2-9.8

Estimate 7.6*4.5

Estimate 18.2/6.3

Larger-Smaller

YOU TRY

15.8+5.6

ROUND to the NEAREST WHOLE number: 15.8 rounds to 16

5.6 rounds to 6

16+6=22

Therefore, 15.8+5.6 is estimated to be near 22.

Round to the nearest WHOLE number.

Compute using WHOLE numbers only.

one hundred six and seven hundredths

Ten-ThousandTHS

Read left to right end your sentence with the decimal place value and a THS

six tenths

ThousandTHS

ten hundredths is larger than one hundredth

HundredTHS

One and one tenth

Practice

Example 2

Thousands

DECIMAL

Hundreds

TenTHS

sixty-two hundredths

1. Write the decimals in a list going down with the DECIMAL lining up.

2. Place zeroes in any extra place values.

3. Read and compare the amount in each place value from left to right.

Example 2

61.532 reads as 61 and five-hundred thirty two THOUSANDTHS

Ones

One and one hundredth

Tens

one hundred six and seven tenths

458.03 reads as four hundred fifty eight and 3 HUNDREDTHS

six hundredths

9.008 compared to 9.08

9.008 Reads as nine and eight thousandths

9.080 Reads as nine and eighty thousandths

Now work on the worksheet titled, What was the truck driver doing

with a load or hogs?

Therefore 1.1>1.01

Estimate 15.6/2.1

15.6 rounds to 16

2.1 rounds to 2

16/2=8

Therefore 15.6/2.1 will have an answer near 8

eighty thousandths is more than eight thousandths

Practice

Therefore, 9.008<9.08

Complete the worksheets titled:

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