Question

Write 274,541,005,000 in Engineering Notation with 3 significant figures.

Answer 1

Answer : The correct answer is, $0.274\times 10^{12}$

Explanation :

Engineering notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form times 10 raise to the power.  It is similar to the scientific notation but in engineering notation, the powers of ten are always multiples of 3.

The engineering notation written in the form:

$a\times 10^b$

where,

a = the number which is greater than 0 and less than 999

b = an integer multiple of 3

For example : $45.89\times 10^3$  or $56.45\times 10^{-6}$

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

As we are given the 274,541,005,000 in standard notation.

Now converting this into engineering notation, we get:

$\Rightarrow 274,541,005,000=0.274\times 10^{12}$

As, the decimal point is shifting to left side, thus the power of 10 is positive.

Hence, the correct answer is, $0.274\times 10^{12}$