Question

Consider this number in scientific notation.

3.75 × 10^8


Which is true about writing the number in standard form? Check all that apply.

Move the decimal point eight places to the left.

This will convert to a very large number.

Move the decimal point ten places to the right.

This will convert to a very small number.

This is the same as the product of 3.75 and 100,000,000.

Answer 1

This will convert to a very large number.

This is the same as the product of 3.75 and 100,000,000.

Explanation:

scientific notation.

`3.75 \cdot 10^8`

To get the standard form we multiply the decimal number by 10^8

When we multiply by 10^8, move the decimal 8 places the right

This will convert to a very large number

`10^8 = 100,000,000`

`3.75 \cdot 100000000`

This is the same as the product of 3.75 and 100,000,000.

Answer 2

• This will convert to a very large number
• This is the same as the product of 3.75 and 100,000,000

Explanation:

`3.75* 10^8=3.75* 100,000,000=375,000,000.`

The decimal point is moved 8 places to the right. The number is "very large" in relation to most folks' personal experience with counting things, but is "very small" in relation to quantities and sizes in the known universe.