Question

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50 Points

Answer 1

4.32 ÷ 8.71 ≈ 0.5

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

Explanation:

`\sf (4.32 * 10^(-4))/(8.71 * 10^(-9))`

We can rewrite this as:

`\sf \implies (4.32)/(8.71) * (10^(-4))/(10^(-9))`

4.32 ÷ 8.71 ≈ 0.5 so:

`\sf \implies 0.5 * (10^(-4))/(10^(-9))`

Using the exponent rule
`(a^b)/(a^c)=a^(b-c)`

`\sf \implies 0.50 * 10^([-4-(-9)])`

`\sf \implies 0.50 * 10^((-4+9))`

`\sf \implies 0.5 * 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