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Step-by-step explanation:

Hi, it seems that you're learning to divide by powers of ten (based on the title of the worksheet.

The pattern to multiplying or dividing by powers of 10 (or 10 multiplied by itself many times) is quite simple.

To divide by 10

You simply need to move the decimal to the left for every zero encountered.

For example:

68 / 10 = ?

in order to divide it, move the decimal point of 68 to the left once.

This is because there is only one zero attached to the 10. That's why your answer is 6.8

This can be applied to 542 / 10.

there's one zero, therefore you move the decimal point of 542 to the left once. That's why it equals 54.2.

When you have to do something like 542 / 1000, you move the decimal point to the left 3 times, because there are 3 zeros. It should look like:

._ _ _542.

When you run out of the numbers in your original value, simply put a zero to fill in the spaces, and voila!

You would get .000542

You can pretty much do this with any number being divided by powers of ten (it can range from 10 to 1000 to 100000000).

To multiply by powers of 10

Here's just an extra piece of information, (if you haven't seen it already).

You would move your decimal to the right because your number gets bigger.

For example:

542 * 10

turns into

542_.

and you fill in the empty space with a zero:

5420.

(The decimal was just for demonstration purposes, but it is not necessary to include a decimal point for multiplication because it doesn't have anything in its decimal places)

I hope this helps

b

step-by-step explanation: