Compare 7.6 × 10−25 and 6.7 × 10−52 . Which statement is true?(1 point)

Question

7.6 × 10−25 ≤ 6.7 × 10−52 7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline 7.6 × 10−25 = 6.7 × 10−52 7.6 times 10 Superscript negative 25 Baseline equals 6.7 times 10 Superscript negative 52 Baseline 7.6 × 10−25 < 6.7 × 10−52 7.6 times 10 Superscript negative 25 Baseline is less than 6.7 times 10 Superscript negative 52 Baseline 7.6 × 10−25 > 6.7 × 10−52

GPT-4o mini · Answer

To compare the two numbers $7.6 \times 10^{-25}$ and $6.7 \times 10^{-52}$, we should consider their exponents first. Since both numbers are in scientific notation, we can rewrite them to easily compare: - The exponent of $7.6 \times 10^{-25}$ is $-25$. - The exponent of $6.7 \times 10^{-52}$ is $-52$. When comparing numbers with scientific notation, the one with the larger exponent is typically greater if the leading coefficient (the number before the exponent) is positive. Here, since $-25$ is greater than $-52$, this means: $$ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} $$ Therefore, the true statement is: $$ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} $$