Question

Which comparison is correct?

Answer 1

Option B: $4.5 \times 10^{-6}>3.9 \times 10^{-9}$ is the correct answer.

Explanation:

Option A: $7.1 \times 10^{8}>1.2 \times 10^{9}$

Simplifying, we get,

$710000000>1200000000$

Since, the value of $1.2 \times 10^{9}$ is greater than $7.1 \times 10^{8}$, the comparison $7.1 \times 10^{8}>1.2 \times 10^{9}$ is false.

Hence, Option A is not the correct answer.

Option B: $4.5 \times 10^{-6}>3.9 \times 10^{-9}$

Simplifying, we get,

$0.0000045>0.0000000039$

Since, the value of $4.5 \times 10^{-6}$ is greater than $3.9 \times 10^{-9}$, the comparison $4.5 \times 10^{-6}>3.9 \times 10^{-9}$ is true.

Hence, Option B is the correct answer.

Option C: $2.4 \times 10^{-5}$

Simplifying, we get,

$0.000024$

Since, the value of $2.4 \times 10^{-5}$ is greater than $5.7 \times 10^{-6}$, the comparison $2.4 \times 10^{-5}$ is false.

Hence, Option C is not the correct answer.

Option D: $8.2 \times 10^{-4}$

Simplifying, we get,

$0.00082$

Since, the value of $8.2 \times 10^{-4}$ is greater than $3.6 \times 10^{-6}$, the comparison $8.2 \times 10^{-4}$ is false.

Hence, Option D is not the correct answer.