Question

Use a single digit times a power of 10 to express the number 0.0000000043 *

Answer 1

Answer: 4.3 * 10^-9 or 4.3 * 0.000000001

Reasoning:

PART 1

Expressing numbers as a digit times a power of 10 can also be referred to as expressing them in scientific notation. When expressing numbers in scientific notation, the digit that is multiplied by the power of 10 must be no less than 1 and no greater than 10.

So, 0.0000000043 becomes 4.3.

PART 2

To get the power of 10 that you’ll multiply 4.3 by to get 0.0000000043, you can count the decimal places that the decimal point on 4.3 has to move to the left to become 0.0000000043.

You get 9 decimal places.

This will be the exponent on the 10 (the power of 10 you’ll have to multiply 4.3 by to get your desired product).

Because your original number is smaller than 1, your exponent becomes negative. So, your power of 10 is 10^-9 or 0.000000001.

When you combine the PART 1 & 2 responses, you get the final answer
4.3 * 10^-9 or 4.3 * 0.000000001.

Hope this helps!