Reading, Writing and Comparing Decimals

Decimals are a way to show parts of a whole.

Examples:

0.5 0.650.8 0.125

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Place Value Puzzle

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Moving Around with Place Values

Let's look at the place value chart.

Name the underlined place value.1.) 8.457 2.) 2.97

3.) 0.0312 4.) 3.09

Read the number before the decimal point.

Say “and” when you get to the decimal.

Read the number after the decimal.

Say the name of the place that the decimal ends in.

Reading Decimals

How do we write or say decimals numbers?

Write the following in word form.

1.) 2.93 ________________________________________________

2.) 0.839 _______________________________________________

3.) 5.7002 ______________________________________________

_______________________________________________________

4.) 34.800367____________________________________________

_______________________________________________________

Write each number in standard form.

1.) forty-five hundredths __________________

2.) three and two hundred eighty-four thousandths ________

3.) twenty-eight ten-thousandths _________________

4.) four and eighteen thousandths ________________

5.) seventeen and thirty thousand five hundred eight millionths ________________

Equivalent Decimals: Name the same amount.

1.4 = 1.40 = 1.400

Compare and Order Decimal Numbers

Review:

- Name an equivalent decimal for 0.20 _______________

- Name an equivalent decimal for 0.060 _____________

Which decimal is smaller? Use < or >.

0.75 0.9

Remember the mouth opens to the larger number

method 1:

Method 1: Using a grid

Which decimal is smaller? Use < or >.

Method 2: Using a number line.

1.9 1.35

0 1 2

1.) You must compare decimals with the same number of place values.

2.) Rewrite the numbers vertically lining up the decimal points.

3.) Add zeros to fill in missing place values.

4.) Compare each place value, starting with the place value to the left.

Method 3: Compare each place value

Which decimal is smaller? Use < or >.

3.09 3.145

Demonstrate understanding

Compare using <,>, or =.

1. 10.089 ______ 10.890 2. 2.4 ________ 2.08

3. 658.848 _______658.484 4. 34.50 ________34.5

5.) 81.98 ________81.098  6.) 5.008 _______5.08

Write the numbers in order form least to greatest. It is helpful to write the numbers vertically.

1.) 4.09  4.9 4.909  4.89

LEAST _____, ______, _____, _____ Greatest

2.) 2.78  3   3.78 2.078 3.078

Least ____, ____, ____, ____, ____ Greatest

3.) 5.6 5.66 5.606 5.06 5.006

LEAST ____, ____, ____, ____, ____ Greatest

Circle the greatest decimal.

1.) 3.09 3.90 3.009 

2.) 0.23  2.03 0.32

3.) 8.012 8.12 8.2

Circle the smallest decimal

4.) 7.4 7.04 7.44 7.404

5.) 3.14 3.04 3.41 3.4

6.) 11 10.4 10.05 10.006