Question

Practice working with numbers that have exponents. In the blank provided, write greater than, less than, or equals.

a. 10–2 ____________________ 10–3

b. 10–14 ____________________ 101

c. 10–7 ____________________ 0.0000001

d. 100 ____________________ 101

Answer 1

a. 10⁻² > 10⁻³

b. 10⁻¹⁴ < 10¹

c. 10⁻⁷ = 0.0000001

d. 100 > 10¹

Step-by-step explanation:

• a. 10⁻² > 10⁻³

We can rewrite those numbers as 0.01 and 0.001. That way the answer becomes clearer.

• b. 10⁻¹⁴ < 10¹

Any positive number with a negative exponent will be less than 1.

• c. 10⁻⁷ = 0.0000001

In the decimal, the 1 is exactly 6 zeros away from the dot, meaning the 1 is in the seventh place.

• d. 100 > 10¹

10¹ is equal to 10.