Recall that:
So, the powers of 10 include numbers such as 10, 100, 1000, 10 000, ….
Consider the multiplication 1.56 ×1000.
To calculate 1.56 ×1000, ignore the decimal point and multiply the
digits. There are 2 decimal places in the number being multiplied.
So, there
will be 2 decimal places in the answer.
Note:
The multiplication of 1.56 ×1000 could be obtained by shifting the
decimal point to the right in the answer by the number of places equal to
the number of zeros in the multiplier, 1000. That is, a shift of three
decimal places.
In general:
If a decimal number is multiplied by a power of 10, then to obtain the
answer, simply shift the
decimal point to the right in the number being multiplied by the number of
places equal to the number of zeros in the multiplier.
Example 15
Calculate 6.84 ×10.
Solution:
Example 16
Calculate 13.468 ×100.
Solution:
Example 17
Calculate 93.28 ×1000.
Solution:
Example 18
Calculate 0.5 ×100.
Solution:
Example 19
Calculate 0.06 ×1000.
Solution:
Example 20
Calculate 0.0035 ×10 000.
Solution:
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