Question

9x10^2 is

?

times as much as 3x10^-2.

3 x 10^4

3 x 10^-4

6 x 10^4

6 x 10^0

Answer 1

Answer: 3 × 10^4

Step-by-step explanation:

Here is the complete question:

9x10^2 is how many times as much as 3x10^-2?

9 × 10^2 = 9 × 100 = 900

3 × 10^-2 = 3 × 0.01 = 0.03

We then divide, this will be:

= 900/0.03

= 30000

This can be represented as:

30000 = 3 × 10^4

Answer 2

$9 \times 10^2$ is times as much as $3 \times 10^-2$ is represented by $3 \times 10^4$.

We have to determine, $9 \times 10^2$ is times as much as $3 \times 10^-2$.

According to the question,

$9 \times 10^2$ is also written as

$= 9 \times 10^2 \\\\= 9 \times 100 \\\\= 900$,

And $3 \times 10^-2$ is also written as,

$= 3 \times 10^-2\\\\= 3 \times \dfrac{1}{100}\\\\= \dfrac{3}{100} \\\\= 0.03$

Then, divided both the equation to get the representation,

$= \dfrac{900}{0.03}\\\\= 30000\\\\= 3 \times 10^4$

Hence,  $9 \times 10^2$ is times as much as $3 \times 10^-2$ is represented by $3 \times 10^4$.

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