Question

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.

Answer 1

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

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.

`(x^(a))/(x^(b)) = x^(a-b)`

applying this for 10⁻⁴ and 10⁻⁹

We have ,

`(10^(-4))/(10^(-9)) = 10^(-4-(-9))`

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

So the final answer in scientific notation is 0.5 * 10⁵

Answer 2

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