Question

Which is the best estimate for (6.3 times 10 Superscript negative 2 Baseline) (9.9 times 10 Superscript negative 3 Baseline) written in scientific notation?

6 times 10 Superscript negative 4
60 times 10 Superscript negative 5
6 times 10 Superscript 7
6 times 10 Superscript 7

Answer 1

the answer is a

Explanation:

i took the test... 100% i swear

Answer 2

First option:
`6*10^(-4)`

Explanation:

The expression is:

`(6.3*10^(-2))(9.9*10^(-3))`

Scientific Notation (which is also known as "Standard form"), is a way to write numbers. It is very useful to handle very small numbers and very large numbers.

By definition, Scientific Notation has the following form:

`a*10^n`

Where the coefficient "a" is a number from 1 to 10 without including 10, and the exponent "n" is an Integer.

Given:

`(6.3*10^(-2))(9.9*10^(-3))`

If you want to estimate the result, you can round the coefficients to the nearest whole number. Since the decimal point must be just after the first digit, you know that:

`(6*10^(-2))(10*10^(-3))=(6*10^(-2))(1*10^(-2))`

Now you need to remember the Product of powers properties:

`(a^m)(a^n)=a^((m+n))`

Then, solving the multiplication, you get:

`6*10^(-4)`