Question

How many times larger is 6×107 than 2×10−6?

a. 3×1013
b. 3×101
c. 3×10−42
d. 3×10−13

Answer 1

To find how many times larger 6×107 is than 2×10−6, you divide the former by the latter, resulting in 3×1013. This shows that 6×107 is 3×1013 times larger than 2×10−6.

Step-by-step explanation:

The question is asking to compare two numbers expressed in scientific notation: 6×107 and 2×10−6. To determine how many times larger one number is than the other, we need to divide the larger number by the smaller number:

(6×107) ÷ (2×10−6)

To perform this calculation, you can subtract the exponents when dividing numbers in scientific notation:

6×107 ÷ 2×10−6
= 3×10(7 - (−6))
= 3×10(7+6)
= 3×1013

The result is option b, which is 3×1013. So, 6×107 is 3×1013 times larger than 2×10−6.