Question

HURRYYY: How many times smaller is 5 x 10−7 than 8.5 x 10−4?

Answer 1

Answer:

1,700

Step-by-step explanation:

5x10^-7 is 0.0000005, while 8.5x10^-4 is 0.00085

0.00085/0.0000005=1700

Answer 2

Thus5 x $10^{-7}$ is 1700 times smaller than  8.5 x $10^{-4}$.

Option C is the correct answer.

Given,

5 x $10^{-7}$ and 8.5 x $10^{-4}$

We need to find how many times smaller is 5 x $10^{-7}$ than 8.5 x $10^{-4}$.

What are exponents?

Exponents are the power of a given number.

Example: a²

a - base

2 - exponent

Compare 5 x $10^{-7}$ and 8.5 x $10^{-4}$.

5 x $10^{-7}$  can be written as 5 / 10000000

8.5 x $10^{-4}$ can be written as 8.5 / 10000

Now,

5 / 10000000 = 0.0000005

8.5 / 10000 = 85 / 100000 = 0.00085

We see that,

0.0000005 is less than 0.00085

Now,

0.0000005 x 1700 = 0.00085

5 x $10^{-7}$ is 1700 times smaller than  8.5 x $10^{-4}$.

We can also write as:

5 x $10^{-7}$ x 17 x 10 ²  

= 5 x 17 x $10^{-7}$ x 10²

= 85 x $10^{-7 + 2}$

= 85 x $10^{-5}$

= 85/10 x 10 x $10^{-5}$

= 8.5 x $10^{-5 + 1}$

= 8.5 x $10^{-4}$

Thus 5 x $10^{-7}$ is 1700 times smaller than  8.5 x $10^{-4}$.

Learn more about finding comparing numbers with exponents here:

brainly.com/question/28348874

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