Question

1. what is the result of $(3.6 \times 10^5) \times (2.5 \times 10^2)$?

a. $9.0 \times 7^10$
b. $9.0 \times 10^6$
c. $9.0 \times 10^3$
d. $9.0 \times 10^7$

1. how many milliliters are in one liter?

a. 10000
b. 100
c. 10
d. 1000

Explanation:

Question 3

Step1: Multiply the coefficients

Multiply \( 3.6 \) and \( 2.5 \).
\( 3.6 \times 2.5 = 9.0 \)

Step2: Add the exponents of 10

For \( 10^5 \) and \( 10^2 \), use the rule \( 10^m \times 10^n = 10^{m + n} \).
\( 5 + 2 = 7 \), so \( 10^5 \times 10^2 = 10^7 \)

Step3: Combine the results

Multiply the coefficient result and the power of 10 result.
\( 9.0 \times 10^7 \)

The metric system defines that 1 liter is equal to 1000 milliliters. This is a standard unit conversion in the metric system where the prefix "milli-" means one - thousandth, so 1 liter (\( L \)) = 1000 milliliters (\( mL \)).

Answer:

d. \( 9.0 \times 10^7 \)

Question 4