Question

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Question is down below
50 Points

Answer 1

Answer:

4.32 ÷ 8.71 ≈ 0.5

The number will be large because  -4 - (-9) = 5

Step-by-step explanation:

$\sf \dfrac{4.32 \times 10^{-4}}{8.71 \times 10^{-9}}$

We can rewrite this as:

$\sf \implies \dfrac{4.32}{8.71} \times \dfrac{10^{-4}}{10^{-9}}$

4.32 ÷ 8.71 ≈ 0.5 so:

$\sf \implies 0.5 \times \dfrac{10^{-4}}{10^{-9}}$

Using the exponent rule $\dfrac{a^b}{a^c}=a^{b-c}$

$\sf \implies 0.50 \times 10^{[-4-(-9)]}$

$\sf \implies 0.50 \times 10^{(-4+9)}$

$\sf \implies 0.5 \times 10^5$

$\sf 10^5=100000$,  which is a large number.

Therefore, the statements that Jed should consider are:

• 4.32 ÷ 8.71 ≈ 0.5
• The number will be large because  -4 - (-9) = 5