Question

Jim writes down a large number. The number is 543 followed by 12 zeroes. How would Jim express this number in scientific notation?

Answer 1

the answers would read as 5.43 x 10^12

Answer 2

Scientific notation:
`5.43* 10^(14)`

Explanation:

Jim writes down a large number.

The number is 543 with 12 zeros.

First we write the number and then convert into scientific notation.

Number: 543000000000000

Scientific notation:
`k* 10^(n)`

Where,
`0\leq k<10` and
`n\rightarrow \text{Integer}`

543000000000000, If number has no decimal. It assume to be at last.

If we move decimal from right to left to first digit. The exponent is positive.

If we move decimal from left to right to first digit. The exponent is negative.

543000000000000 ⇒
`5.43* 10^(14)`

Scientific notation:
`5.43* 10^(14)`