Question

The sum of place value of digit 2 in the number \[21.236\] is
A.20
B.\[20.2\]
C.\[22\]
D.\[2.2\]

Answer 1

Hint: First we will see there are two 2’s in this number, one at ten’s place and other at one-tenth place. So we will multiply 2 with 10 to find the place value at ten’s place and multiply 2 with \[0.1\] to find the place value at one-tenth place. Then add them to find the required value.

Complete step-by-step answer:
We are given that the number is \[21.236\].
Since we know that there are two 2’s in this number, one at ten’s place and other at one-tenth place.
Now we will find the place values of both the 2’s.
First, we will multiply 2 with 10 to find the place value at ten’s place, we get
\[ \Rightarrow 2 \times 10 = 20{\text{ ......eq.(1)}}\]
Now we will multiply 2 with \[0.1\] to find the place value at one-tenth place, we get
\[ \Rightarrow 2 \times 0.1 = 0.2{\text{ .......eq.(2)}}\]
Adding expression (1) with expression (2) to find the required sum, we get
\[
   \Rightarrow 20 + 0.2 \\
   \Rightarrow 20.2 \\
 \]
Hence, option B is correct.

Note: We know that the value of a digit based on its position or place in a number is known as its place value. The place values to the left of the decimal point: the ones, the tens, the hundreds, the thousands and so on. Avoid calculation mistakes.