Question

How long will it take me to get 5 nonillion if I get 257.21 septillion per second?

Answer 1

19439 seconds (nearest second)

5 hours 23 minutes 59 seconds (nearest second)

Explanation:

Definitions

Nonillion and Septillion and extremely large numbers:

• Nonillion = 10³⁰ (1 with 30 zeros)
• Septillion = 10²⁴ (1 with 24 zeros)

Therefore:

• 5 nonillion = 5 × 10³⁰
• 257.21 septillion = 257.21 × 10²⁴

To find how long it will take to get 5 nonillion if you get 257.21 septillion per second, divide the number of nonillion by the number of septillion:

`\implies \sf (5 * 10^(30))/(257.21 * 10^(24))`

`\implies \sf (5)/(257.21) * (10^(30))/(10^(24))`

`\implies \sf (500)/(25721) * (10^(30))/(10^(24))`

`\textsf{Apply exponent rule} \quad (a^b)/(a^c)=a^(b-c):`

`\implies \sf (500)/(25721) * 10^((30-24))`

`\implies \sf (500)/(25721) * 10^6`

`\implies \sf 0.01943936861... * 10^6`

`\implies \sf 19439.36861... seconds`

There are 3600 seconds in an hour, so to convert seconds to hours, divide by 3600:

`\implies \sf (19439.36861...)/(3600)=5.399824614...hours`

`\implies \sf 5\:hours\:23\:minutes\:59 \:seconds`

Answer 2

Explanation:

1 septillion = 10^6 nonillion

the taking time = 5× 10^-6 / 257.21

= 500× 10^-8 /257.21

= 1.94 × 10^-8 seconds