Question

Write 0.0000000000137 in standard form.

Answer 1

Hint: In order to solve this problem we need to count the number of zeroes on the right of the decimal point and then write the first natural number on the left of the decimal point and write rest of the number at right and number of zeroes as raised to the power of 10.

Complete step-by-step solution:
The given number is 0.0000000000137.
We can see there are ten zeroes a=on the right of decimal then there is 137 so we will take ten zeroes and 1 from 137 on the left of the decimal point and write the rest number on right and the number of digits taken from right to left will be written as negative power of 10.
So, the standard form of 0.0000000000137 is $1.37 \times {10^{ - 11}}$.

Note: In this problem of writing a number in standard form you always need to take care of that when you are taking the numbers from right to left then the power raised to 10 is negative and if left to right then the power is positive. Keeping this in mind will take you away from making mistakes in sign.