Question

part b
$(2.2 \times 10^5) \div (2.35 \times 10^2)$
$\bigcirc\\ 9.36 \times 10^2$
$\bigcirc\\ 9 \times 10^2$
$\bigcirc\\ 9.4 \times 10^2$
$\bigcirc\\ 9.362 \times 10^2$
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part c
$3.071 \times 22 \times 0.07$
$\bigcirc\\ 4.729$
$\bigcirc\\ 4.7$
$\bigcirc\\ 4.73$
$\bigcirc\\ 5$

Explanation:

Part B

Step1: Split the terms

$\frac{2.2 \times 10^5}{2.35 \times 10^2} = \frac{2.2}{2.35} \times \frac{10^5}{10^2}$

Step2: Calculate coefficient quotient

$\frac{2.2}{2.35} \approx 0.9362$

Step3: Calculate power of 10 quotient

$\frac{10^5}{10^2} = 10^{5-2} = 10^3$

Step4: Combine and adjust form

$0.9362 \times 10^3 = 9.362 \times 10^2$

Part C

Step1: Multiply first two numbers

$3.071 \times 22 = 67.562$

Step2: Multiply by the third number

$67.562 \times 0.07 = 4.72934$

Step3: Round to match options

$4.72934 \approx 4.729$

Answer:

Part B: $9.362 \times 10^2$
Part C: $4.729$