Question

Will give medal,
Help with Scientific notation,

Answer 1

@kiamousekia

Answer 2

@imqwerty

Answer 3

idk

Answer 4

ok, do you know anyone who would?

Answer 5

@Falling_In_Katt

Answer 6

you still on that first question?

Answer 7

yep

Answer 8

It is simply \[(4.5 \cdot 6)(10^{-8-4})\]

Answer 9

I seriously dont get it, how do I get the answer?

Answer 10

@sadie112
A number written in scientific notation consists of a number from 1 to less than 10 (called the mantissa) multiplied by a power of 10.

To multiply two numbers written in scientific notation, multiply the mantissas together, and multiply the powers of 10 together.

If the product of the mantissas is a number from 1 to less than 10, then you are done because your product is also in scientific notation.

If the product of the mantissas is greater than 10, then you need to adjust the number to make it a number in scientific notation.

Answer 11

Example:

Multiply the two numbers below:

\((2 \times 10^4) \times (3 \times 10^6) \)

Solution:

\(=2 \times 3 \times 10^4 \times 10^6\)

\(= 6 \times 10^{4 + 6} \)

\(= 6 \times 10^{10}\)

Since 6 is from 1 to less than 10, the product is in scientific notation, and we're done.

Do you understand it so far?

Answer 12

Here is a second example that is similar to your problem.

Multiply

\((5 \times 10^4) \times (6 \times 10^3) \)

Solution:

\(=5 \times 6 \times 10^4 \times 10^3\)

\(= 30 \times 10^7\)

We have the product of the two numbers but, because 30 is not less than 10, this product is not in scientific notation, so we need to adjust it.

\(= 3 \times 10 \times 10^7\)

\(= 3 \times 10^8\)

Now we have the correct answer in scientific notation.