Question

Write each decimal using a negative exponent.

0.00001

and

0.001

(SHOW YOUR WORK)

Answer 1

• 10^-5
• 10^-3

Explanation:

You know from place values that ...

0.00001 = 1/100,000 = 1/10^5 = 10^-5

and

0.001 = 1/1000 = 1/10^3 = 10^-3

_____

The applicable rule of exponents is ...

1/a^b = a^-b

_____

The place-value chart attached ends at 10^-4, but you can see from what is there what the pattern is.

Answer 2

The answer to your question is below

Explanation:

When using scientific notation,

- when we move the decimal point to the right, the power will be negative.

- when we move the decimal point to the left, the power will be positive.

a) 0.00001 move the decimal point 5 places to the right 1 x 10⁻⁵

b) 0.001 move the decimal point 3 places to the right 1 x 10⁻³