Question

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

a) 5.55 × 10-4
b) 5.55 ×10 -5
c) 5.55 x 10-7
d) 55.5 x 10-5

Answer 1

The quotient of 3.33 x 10^-5 and 0.06 is 5.55 x 10^-4, which is computed by dividing the two numbers and adjusting the scientific notation accordingly.

Step-by-step explanation:

When evaluating the quotient of 3.33 × 10^-5 and 0.06, we are essentially dividing these two numbers. First, let's express 0.06 in scientific notation which is 6.00 × 10^-2. Now we can divide the two values:

(3.33 × 10^-5) ÷ (6.00 × 10^-2) = 3.33 ÷ 6.00 × 10^-5 ÷ 10^2

Carry out the division of the decimal portions (3.33 ÷ 6.00) to get 0.555, and subtract the exponents of 10 (-5 - (-2) = -3). Thus, our answer in scientific notation is 0.555 × 10^-3, which is equivalent to 5.55 × 10^-4 when adjusted to have the standard scientific notation format (one nonzero digit to the left of the decimal point).

The correct answer to the question is option a) 5.55 × 10^-4.