Question

How do you write $ 3.24 \times {10^3} $ in standard form?

Answer 1

Hint: Here first of all we will take the given expression and will convert it into the normal form. It is also known as the ordinary form. Here we will convert by placing seven zeros after the first term.

Complete step by step solution:
Observe the given number and power of $ 10 $
Here given that the power to \[10\] is $ (3) $
Step 2 Write as the multiplication of $ 10 $ three times.
\[3.24 \times {10^3} = 3.24 \times 10 \times 10 \times 10\]
Step 3 Do the multiplication by $ 10 $ one at a time
\[
  3.24 \times {10^3} = 3.24 \times 10 \times 10 \times 10 \\
  3.24 \times {10^3} = 32.4 \times 10 \times 10 \\
  3.24 \times {10^3} = 324 \times 10 \\
  3.24 \times {10^3} = 3240 \;
 \]
This is the required solution.
So, the correct answer is “3240”.

Note: Here we are given the product of two terms expressed in the form of \[a \times {10^b}\] and compare with the given expression, $ 3.24 \times {10^3} $
\[ \Rightarrow a = 3.24\]
And $ b = 3 $
Here we will write one zero after the number four, since we have two digits after the decimal point therefore the number of zeros will be equal to three minus two.
Therefore, the resultant answer is $ 3240 $