Question

Write the place value of three in the following decimal number.
\[32 \cdot 46\]

Answer 1

Hint: In this question, we will use the concept of assigning the place values here. In decimal numbers, for the whole number part, the place values are assigned just like integers ignoring the decimal and the fractional part. The place values for integers are assigned moving from right to left as Ones – Tens – Hundreds, Thousands – Ten Thousands, and so on.

Complete step-by-step answer:
Since there are only two digits to the left of the decimal, we need not insert the commas here. Let us begin by assigning these numbers their place values. Since we have to find the place value of 3, we will start from the right and proceed towards the left. The place values are as given below –
\[\begin{array}{l}\begin{array}{*{20}{c}}3&2& \cdot &4&6\end{array}\\\begin{array}{*{20}{c}} \uparrow & \uparrow &{}&{}&{}\end{array}\end{array}\]
Tens Ones
We will now multiply the numerals with their respective place values to obtain the place-value names.
3 – \[3 \times 10 = 30\] - Thirty
2 – \[2 \times 1 = 2\] - Two

Thus, the place value of 3 in the given number \[32 \cdot 46\] is Tens. The place value name of 3 is Thirty.

Note: Here in the question, we are asked to find the place value of 3. We might get confused between the place value and the face value. The place value denotes the value of any numeral in the given number. Whereas, the face value of a digit in a numeral is its own value, despite whatever place the digit is at. We can understand this with the following example –
In the number 234, the place value of 3 is Tens, because it is at the Tens position. But, the face value of 3 is 3 only.
Hence, we understand that the face value is not affected by the place and it is the number itself only, whatever position it is at.