Question

What is the value of (5.3 times 10^4) (4.2 times 10^3) in scientific notation?

A 2.226 times 10^6
B 22.26 times 10^7
C 2.226 times 10^8
D 22.26 times 10^12

Answer 1

C

Explanation:

(5.3 times 10^4) (4.2 times 10^3)

5.3 × 4.2 × 10⁴ × 10³

22.26 × 10⁷

2.226 × 10⁸

Answer 2

C 2.226 times 10^8

Explanation:

5.3* 10^4 * 4.2 * 10^3

We multiply the numbers out front

5.3* 4.2 =22.26

We add the exponents

10^(4+3) = 10^7

22.26*10^7

But we are not done yet because The number out front has to be between 1 and less than 10

Move the decimal 1 place to the left and add 1 to the exponent

2.226 * 10 ^(7+1)

2.226*10^8