How do you simplify 1,000,000,000\times 6,000,000,000?

3 Answers
Aug 1, 2017

See a solution process below:

Explanation:

We can rewrite this as:

(1 xx 1,000,000,000) xx (6 xx 1,000,000,000) =>

(1 xx 6) xx (1,000,000,000 xx 1,000,000,000) =>

6 xx (1,000,000,000 xx 1,000,000,000)

To multiply the numbers on the right we combine the number of 0s xx 1 giving:

6 xx (1,color(red)(000,000,000) xx 1,color(blue)(000,000,000))

6 xx (1,color(red)(000,000,000),color(blue)(000,000,000)) =>

6,000,000,000,000,000,000

Aug 1, 2017

Alternatively, using scientific notation makes things easier (even though it's technically the same method).

The answer is " "6 xx 10^18 " " or " " 6,000,000,000,000,000,000

Explanation:

1,underbrace(000,000,000)_(color(red)"9 ""zeros") = 1 xx 10^color(red)9

6,underbrace(000,000,000)_(color(red)"9 ""zeros") = 6 xx 10^color(red)9

Therefore:

1 xx 10^color(red)9 xx 6 xx 10^color(red)9

= (1 xx 6) xx (10^color(red)9 xx 10^color(red)9)

= 6 xx 10^(color(red)9 + color(red)9)

= 6 xx 10^color(blue)18

= 6,underbrace(000,000,000,000,000,000)_(color(blue)"18 ""zeros")

Final Answer

Aug 3, 2017

6,000,000,000,000,000,000

Explanation:

6 * 1=6

now add the Zeroes after 6
(00000....)9 zeroes + (00000...) 9 zeroes = 9+9=18

Write 6 and add 18 Zeroes after it.
6,000,000,000,000,000,000