Question

what is the effect of dividing or multiplying powers of 10 on the
decimal？

Answer #1

(1)

Effect of dividing powers of 10 on the decimal:

Move the decimal point to the left as many places as there are zeros in the factor

Example:

0.49 / 10 = 0.049

Move the decimal point one step to the left as 10 has one zero.

0.49 / 10^{2} = 0.0049

Move the decimal point two steps to the left as
10^{2} has two zeros.

(2)

Effect of multiplying powers of 10 on the decimal:

Move the decimal point to the right as many places as there are zeros in the factor

Example:

0.49 X 10 = 4.9

Move the decimal point one step to the right as 10 has one zero.

0.49 X 10^{2} = 490

Move the decimal point two steps to the right as 10^{2}
has two zeros.

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