How do you simplify #1,000,000,000 imes 6,000,000,000#?

Question

How do you simplify #1,000,000,000	imes 6,000,000,000#?

Julian Avila · Accepted Answer

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# #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

Roman Alvarez · Answer

See a solution process below:

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 #0#s #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#

Autumn Arnold · Answer

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

#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#

Riley Anderson · Answer

undefined To simplify $1,000,000,000 \times 6,000,000,000$, you multiply the two numbers together:

$1,000,000,000 \times 6,000,000,000 = 6,000,000,000,000,000,000,000$.

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