6th Grade Math Textbook, Fundamentals

6  6

Look at the next digit.

8  9

8.92 is the least.

1  3

9.615 9.631

8.92 8.920

9.631

9.615

8.920

9.631

9.615

8.920

9.631

9.615

8.920

9.631

9.61 5

8.920

III.Round Whole Numbers and Decimals

To round a number:

• Find the digit in the place to which you are rounding.


• Look at the next digit on the right.
  If that digit is less than5, then the first digit does not change.
  If that digit is 5 or greater, then round the first digit up.


• When rounding whole numbers, replace all digits to the right of the place to which
  you are rounding with zeros.

When rounding decimals, drop all digits to the right of the place to which

you are rounding.

Practice Exercises

408 Skills Update

IV.Compare and Order Decimals

Compare decimalsthe same way you compare whole numbers. Align digits

by place value. Start at the left. Check each place until the digits are different.

Compare 6.2 and 6.17.

6.20 6.20

6.17 6.1 7

So 6.2 is greater than 6.17.

You can order decimals from least to greatest or from greatest to least

the same way you order whole numbers. Align digits by their place values.

Start at the left and check each place until the digits are different.

Order from least to greatest: 9.631; 9.615; 8.92.

Round 8,437 to the nearest hundred.

8,437

8,400

Round 129,502 to the nearest thousand.

129,502

130,000

Think

3 5, so the 4 in the

hundreds place does

not change.

Think

5 5, so the 29 thousands

rounds up to 30 thousands.

Round 0.3628 to the nearest thousandth.

0.3628

0.363

Think

8 5, so the 2 in the

thousandths place

rounds to 3 thousandths.

Think

6 5, so 9 tenths

rounds up to 10 tenths.

Regroup as 1.

Think

6 6 and 0.2  0.1

So the order from least to greatest is 8.92; 9.615; 9.631.

6.2 6.20

Round 0.96779 to its greatest nonzero place.

0.96779