Question

Write 68167 in standard form.

Answer 1

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

Complete step-by-step answer:
The given number is 68167 and it can also be written as 68167.00 for better understanding of what’s going on.
We can see there are 5 numbers on the left of the decimal point. We will be keeping only 6 which is the first number, on the left and write the rest of the numbers on right and the number of digits taken from left to right will be written as positive power of 10.
So, the standard form of 68167 is $6.8167 \times {10^4}$.

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 left to right to the decimal then the power raised to 10 is positive and if right to left then the power is negative. Keeping this in mind will take you away from making mistakes in sign.