Answer:
4.32 ÷ 8.71 ≈ 0.5
The number will be large because -4 - (-9) = 5
Step-by-step explanation:
[tex]\sf \dfrac{4.32 \times 10^{-4}}{8.71 \times 10^{-9}}[/tex]
We can rewrite this as:
[tex]\sf \implies \dfrac{4.32}{8.71} \times \dfrac{10^{-4}}{10^{-9}}[/tex]
4.32 ÷ 8.71 ≈ 0.5 so:
[tex]\sf \implies 0.5 \times \dfrac{10^{-4}}{10^{-9}}[/tex]
Using the exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\sf \implies 0.50 \times 10^{[-4-(-9)]}[/tex]
[tex]\sf \implies 0.50 \times 10^{(-4+9)}[/tex]
[tex]\sf \implies 0.5 \times 10^5[/tex]
[tex]\sf 10^5=100000[/tex], 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
