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Jed needs to estimate the value of 4.32*10^-4 / 8.71*10^-9 . Which statements should he consider? Check all that apply.
4.32/8.71 is approximately 2.
4.32/8.71 is approximately 0.5.
The answer will be very small because -4-9=-13 .
The number will be large because -4-(-9)=5
He will need to rewrite the preliminary result in scientific notation.
The number will be small because the exponent will be a fraction.

Respuesta :

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

[tex] \frac{4.32 * 10^{-4}}{8.71 * 10^{-9}} [/tex]

Let us first try to simplify (4.32 / 8.71)

On dividing we get 0.49

ON rounding off we get 0.5

So (4.32 / 8.71) is approximately 0.5.

In second part we have to apply property of division of exponents.

[tex] \frac{x^{a}}{x^{b}} = x^{a-b} [/tex]

applying this for 10⁻⁴ and 10⁻⁹

We have ,

[tex] \frac{10^{-4}}{10^{-9}} = 10^{-4-(-9)} [/tex]

so it becomes 10⁵, the number will be large because -4-(-9)=5.

So the final answer in scientific notation is 0.5 * 10⁵


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