Rank the numbers in order from smallest to largest.
$3.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}$
A) $8.44 \times 10^{5}

Question

Rank the numbers in order from smallest to largest.
$3.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}$
A) $8.44 \times 10^{5}<3.48 \times 10^{3}<3.45 \times 10^{3}<2.79 \times 10^{-5}<$
$5.02 \times 10^{-6}$
B) $5.02 \times 10^{-6}<3.45 \times 10^{3}<3.48 \times 10^{3}<8.44 \times 10^{5}<$
$2.79 \times 10^{-5}$
C) $2.79 \times 10^{-5}<5.02 \times 10^{-6}<3.45 \times 10^{3}<3.48 \times 10^{3}<$
$8.44 \times 10^{5}$
D) $5.02 \times 10^{-6}<2.79 \times 10^{-5}<3.45 \times 10^{3}<3.48 \times 10^{3}<$
$8.44 \times 10^{5}$

Quizplus · Accepted Answer

The correct order from smallest to largest is determined by the exponent of 10. Negative exponents indicate numbers less than 1, with smaller (more negative) exponents indicating smaller numbers. Positive exponents indicate numbers greater than 1, with larger exponents indicating larger numbers. Therefore, $5.02 \times 10^{-6}$ is the smallest, followed by $2.79 \times 10^{-5}$, $3.45 \times 10^{3}$, $3.48 \times 10^{3}$, and $8.44 \times 10^{5}$ is the largest.

Rank the Numbers in Order from Smallest to Largest 3.45×103,8.44×105,2.79×10−5,3.48×103,5.02×10−63.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}3.45×103,8.44×105,2.79×10−5,3.48×103,5.02×10−6

Rank the Numbers in Order from Smallest to Largest $3.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}$