Question

3
drag each number to the correct location.
classify each number according to its value.
$2.1 \times 10^{-4}$
$9.2 \times 10^{-4}$
$3.4 \times 10^{-5}$
$2.1 \times 10^{-3}$
$2.8 \times 10^{-7}$
$8.3 \times 10^{-5}$
$7.2 \times 10^{-5}$
greater than $8.2 \times 10^{-4}$
between $8.2 \times 10^{-4}$ and $8.2 \times 10^{-5}$
less than $8.2 \times 10^{-5}$

Explanation:

Step1: Compare to $8.2 \times 10^{-4}$

First, convert all numbers to the same exponent for easy comparison, or compare coefficients when exponents match:

• $2.1 \times 10^{-3} = 21 \times 10^{-4}$, which is greater than $8.2 \times 10^{-4}$
• $9.2 \times 10^{-4}$ has a coefficient 9.2 > 8.2, so greater than $8.2 \times 10^{-4}$

Step2: Check range $8.2 \times 10^{-5}$ to $8.2 \times 10^{-4}$

Convert bounds to consistent exponents: $8.2 \times 10^{-4} = 82 \times 10^{-5}$, so we look for numbers between $8.2 \times 10^{-5}$ and $82 \times 10^{-5}$:

• $2.1 \times 10^{-4} = 21 \times 10^{-5}$, which is between $8.2 \times 10^{-5}$ and $82 \times 10^{-5}$
• $8.3 \times 10^{-5}$ has coefficient 8.3 > 8.2, so it is in this range

Step3: Identify numbers less than $8.2 \times 10^{-5}$

Compare coefficients for numbers with exponent $10^{-5}$ or smaller exponents:

• $3.4 \times 10^{-5}$ (3.4 < 8.2)
• $2.8 \times 10^{-7} = 0.028 \times 10^{-5}$ (0.028 < 8.2)
• $7.2 \times 10^{-5}$ (7.2 < 8.2)

Answer:

Greater than $8.2 \times 10^{-4}$	Between $8.2 \times 10^{-4}$ and $8.2 \times 10^{-5}$	Less than $8.2 \times 10^{-5}$