6th Grade Math Textbook, Fundamentals

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4-3

Compare: 94.365 94.3653

94.3655 94.36594.3655...

94.3653

5  3

So 94.36594.3653.

?

The digits in the ten-thousandths

place are not the same. Compare.

0.0005... 0.0003

1 Compare: 8.20309 8.204

8.20309

8.20400 8.204 8.20400

 3  4

So 8.20309 8.204.

?

The digits in the thousandths

place are not the same. Compare.

2

To compare a fraction and a decimal, rename the fraction as an

equivalent decimal. Then you can compare the decimals.

Compare: 6.2  6 unlike forms

 6  6 () 6 plus

6.375  6 (0.375)

6.200 6.375

 2  3

So 6.2 6.

?

?

3

8 8

0.375

3.000





3

8

3

8

3

8

The digits in the tenths place are not the same.

Compare the tenths digits.

Update your skills. See pages 407, 408 IV.

Compare and Order Decimals

Objective To compare decimals• To order decimals

A planet’s solar illumination can be measured in units

of mean illumination. When Saturn is closest to the Sun,

its mean illumination is 0.012 units. When farthest from

the Sun, Saturn’s mean illumination is 0.0098 units.

A greater number indicates a brighter illumination.

Which number indicates a brighter illumination?

To find the number for the brighter

illumination, use place value to compare

0.0098 and 0.012.

Compare: 0.0098 0.012

0.0 098

0.0 120

0  1

0.012 0.0098

So the number 0.012 indicates

a brighter illumination.

?

0.012 0.0120

The digits in the hundredths

place are not the same.

Compare the hundredths digits.

Key Concept

Compare Decimals Using Place Value

• Write one number under the other with the place
  values lined up.


• For terminating decimals, write zeros as needed
  so the numbers have the same number of places.
  For repeating decimals, write the repeating digits
  to equalize the number of decimal places.


• Start with the greatest place value. Compare the
  digits in each place-value position, moving right. Stop
  at the first place where the digits are not the same.
  Compare those digits. The decimal that has the digit
  with the greater place value is the greater decimal.

Remember:Negative fractional numbers

can be written in any of these three

equivalent forms: ^38  83 ^38.