Question

With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?.​

Answer 1

10,000

Explanation:

In your question, it asks what number you have to multiply by to get from 3.475817 to 34,758.17.

In order to find your answer, we can perform the quickest way to find the answer by moving the decimal place to the right.

To get from 3.475817 to 34,758.17, we're going to need to move the decimal place 4 times to the right, due to the fact that we're trying to get to a number where the decimal place is farther to the right.

We know that decimals goes by 10s, meaning that we would need to multiply by 10 in each move.

In other words, every time we move the decimal point to the right, we're multiplying by 10.

Since we moved 4 times, we need to multiply 10, 4 times.

`10*10*10*10=10,000`

When you mutliply the 10s, you should get 10,000.

This means that you need to multiply by 10,000 to get from 3.475817 to 34,758.17

Checking to see if it's right:

You can multiply 3.475817 by 10,000 to see if it gets you 34,758.17

`3.475817 * 10000=34,758.17`

When you multiply the numbers, you would get 34,758.17, meaning that the answer is CORRECT.

I hope this helps you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

`10^4` or 10000

Explanation:

So this is just a moving over of decimal. It is a factor of 10. How many factors of 10 depends on many times we need to bring that decimal to the right.

Let's count.

3.4758.17

| | | |

That is 4 times to the right.

So you need 4 factors of 10, or
`10^4`.

You need to multiply by
`10^4` (or 10000)