Questions: Perform the following calculations and report each answer with the correct number of significant figures. Part 1 of 2 5329 × 4.2 = □ □ × 10 Part 2 of 2 5006 ÷ 538 = □ □ × 10

Perform the following calculations and report each answer with the correct number of significant figures.

Part 1 of 2
5329 × 4.2 = □
□ × 10

Part 2 of 2
5006 ÷ 538 = □
□ × 10

Transcript text: Perform the following calculations and report each answer with the correct number of significant figures. Part 1 of 2 5329. $\times 4.2=$ $\square$ $\square$ $\times 10$ Part 2 of 2 5006. $\div 538 .=$ $\square$ $\square$ $\times 10$

Solution

Solution Steps

Solution Approach

For Part 1, we need to multiply 5329 by 4.2. The result should be reported with the correct number of significant figures, which is determined by the number with the fewest significant figures in the multiplication (4.2 has 2 significant figures). Then, multiply the result by 10.

For Part 2, divide 5006 by 538. The result should be reported with the correct number of significant figures, which is determined by the number with the fewest significant figures in the division (538 has 3 significant figures). Then, multiply the result by 10.

Step 1: Calculate Part 1

We start with the multiplication: \[ 5329 \times 4.2 = 22318.18 \] Since $4.2$ has $2$ significant figures, we round the result to $2$ significant figures: \[ 22318.18 \approx 22000 \] Next, we multiply this result by $10$: \[ 22000 \times 10 = 220000 \]

Step 2: Calculate Part 2

Now, we perform the division: \[ 5006 \div 538 = 9.30 \] Since $538$ has $3$ significant figures, we round the result to $3$ significant figures: \[ 9.30 \] Next, we multiply this result by $10$: \[ 9.30 \times 10 = 93.0 \]