Question

What is the quotient of 3.33 x 10⁻⁵ and 0.06?

a. 5.55 x 10⁻⁴
b. 5.55 × 10⁻⁵
c. 5.55 × 10⁻⁷
d. 55.5 x 10⁻⁵

Answer 1

The quotient of 3.33 x 10⁻⁵ and 0.06 is 5.55 × 10⁻⁴. This is found by converting 0.06 to scientific notation and dividing the two numbers, factoring in the coefficients and exponents.

Step-by-step explanation:

To solve the question what is the quotient of 3.33 x 10⁻⁵ and 0.06, we will divide the two values:

First, convert 0.06 into scientific notation:

0.06 = 6 x 10⁻²

Now, divide the two numbers in scientific notation:

3.33 x 10⁻⁵ ÷ 6 x 10⁻²

Divide the coefficients (3.33 ÷ 6) and subtract the exponents (-5 - (-2)):

• Coefficients quotient: 0.555
• Exponents difference: -5 + 2 = -3

Therefore, the quotient in scientific notation is:

5.55 × 10⁻´

Which corresponds to option (b) in the given choices.