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05-11-2012, 07:29 PM
What two numbers, neither ending in zero, when multiplied together equal exactly 1 000 000 000?

Repeat for 1 000 000 000 000 000 000.

MAS1
05-13-2012, 08:35 AM
What two numbers, neither ending in zero, when multiplied together equal exactly 1 000 000 000?

Repeat for 1 000 000 000 000 000 000.

1. 1,000,000,000 / 3 = 333,333,333.333... so

333,333,333.333... x 3 = 1,000,000,000

2. Same for 1,000,000,000,000,000,000

333,333,333,333,333,333.333... x 3 = 1,000,000,000,000,000,000

05-15-2012, 03:05 AM
1. 1,000,000,000 / 3 = 333,333,333.333... so

333,333,333.333... x 3 = 1,000,000,000

2. Same for 1,000,000,000,000,000,000

333,333,333,333,333,333.333... x 3 = 1,000,000,000,000,000,000

Yeah, that is an answer ;-), but I was actually finding two integers.

MAS1
05-15-2012, 11:40 AM
Yeah, that is an answer ;-), but I was actually finding two integers.

Ah, but you said numbers ;)

1. 1,000,000,000
= 10^9
= (5*2)^9
= (5^9)*(2^9)
= 1953125*512

2. 1,000,000,000,000,000,000
= 10^18
= (5*2)^18
= (5^18)(2^18)
= (5^9)(5^9)(2^9)(2^9)
= 1953125*1953125*512*512
= 3814697265625*262144

05-16-2012, 02:39 AM
Very nice work! Exactly correct!

Ah, but you said numbers ;)

1. 1,000,000,000
= 10^9
= (5*2)^9
= (5^9)*(2^9)
= 1953125*512

2. 1,000,000,000,000,000,000
= 10^18
= (5*2)^18
= (5^18)(2^18)
= (5^9)(5^9)(2^9)(2^9)
= 1953125*1953125*512*512
= 3814697265625*262144