In the base ten number system, it is extremely easy to
multiply by powers of ten.
To multiply by
[beautiful math coming... please be patient]
$\,10^1 = 10\,$, put
[beautiful math coming... please be patient]
$\,1\,$ zero at the end of the number:
[beautiful math coming... please be patient]
$237\cdot 10 = 2{,}370\,$
To multiply by
[beautiful math coming... please be patient]
$\,10^2 = 100\,$, put
[beautiful math coming... please be patient]
$\,2\,$ zeros at the end of the number:
[beautiful math coming... please be patient]
$237\cdot 100 = 23{,}700\,$
To multiply by
[beautiful math coming... please be patient]
$\,10^n\,$ (which is $\,1\,$ followed by $\,n\,$ zeroes),
put $\,n\,$ zeros at the end of the number.
For example,
[beautiful math coming... please be patient]
$\,237 \cdot 10^7 = 2{,}370{,}000{,}000\,$. (Count the seven zeros after the ‘237’!)
Think about why this is so easy!
When, say,
[beautiful math coming... please be patient]
$\,237\,$ is multiplied by $\,10\,$:
In this exercise, multiplication is denoted in two ways:
Here, you will practice multiplying by powers of ten.
Do not insert commas in your answers for this web exercise.
That is, type the answer to
[beautiful math coming... please be patient]
$\,631\times 10^3\,$ as $\,631000\,$, not
[beautiful math coming... please be patient]
$\,631{,}000\,$.