6th Grade Math Textbook, Fundamentals

nonzero digits

1   34  34

10  34  340

100 34  3400

1000    34 34,000

35  2  70

35  20  700

35  200  7000

35  2000 70,000

6   5  30

60  50  3000

600 500  30 0,000

6000    5000 30,000,000

VII.Multiplication Patterns

You can use patterns to multiply by powers and multiples of 10.

To multiply a whole number by a power or multiple of 10:

• Multiply the nonzero digits in the factors


• Write one zero to the right of the product for each zero
  in the factors.

Practice Exercises

410 Skills Update

To multiply a decimal by a power of 10:

• Count the number of zeros in the power of 10.


• Move the decimal point to the rightone place for each zero.


• Write as many zeros in the product as needed to place the
  decimal point correctly.

VIII.Division Patterns

You can use patterns to divide by powers and multiples of 10.

To divide a whole number by a power or multiple of 10:

• Divide the nonzero digits.


• To determine the number of zeros in the quotient, subtract
  the number of zeros in the divisor from the number of zeros
  in the dividend.

34,000 1 34,000

34,000 10  3400

34,000 100  340

34,000 1000  34

40,000 1 40,000

40,000 10  4000

40,000 100  400

40,000 1000  40

30,000 6  5000

30,000 60  500

30,000 600  50

30,000 6000  5

To divide a decimal by a power of 10:

• Count the number of zeros in the divisor.


• Move the decimal point to the leftone place in
  the dividend for each zero in the divisor.


• Write zeros in the quotient as needed.

1000     0.07 0.070.

Multiple of 10:

10  1  10

10  2  20

10  3 30, and so on.

Power of 10:

100  1

101  10

102  100

103 1000, and so on.

79.4  10 7.9.47.94

79.4  100 .79.40.794