Question

3 Hundredths + 3 Tenths = ______?

Answer 1

Hint: Here, first we need to understand the meaning of the terms ‘hundredths’ and ‘tenths’. Further, we will understand the place values the given terms represent and whether it is after the decimal point of before it. Finally, we take the face values along with the place values of the given terms in the sum and get the answer.

Complete step by step solution:
Here we have been provided with the expression 3 Hundredths + 3 Tenths = ______ and we are asked to write its value. The value will be in decimal form but first we need to understand the meaning of the terms ‘hundredths’ and ‘tenths’.
Now, in a decimal number we have two parts. One part is before the decimal point and the other part is after the decimal point. As we move towards the left of the decimal point we name the successive place values as ones, tens, hundreds, thousands and so on. In contrast to it when we move towards the right of the decimal point we name the successive place values as tenths, hundredths, thousandths and so on. The place value of a digit at tenths place is $\dfrac{1}{10}$, hundredths place is $\dfrac{1}{100}$, thousandths place is $\dfrac{1}{100}$ and so on.
Let us come to the question, we have the expression 3 Hundredths + 3 Tenths, so the face values of both the terms will be 3, therefore the given sum will be given as: -
$\Rightarrow $ 3 Hundredths + 3 Tenths = $3\times \dfrac{1}{100}+3\times \dfrac{1}{10}$
Converting into the decimal form we get,
$\Rightarrow $ 3 Hundredths + 3 Tenths = 0.03 + 0.3
$\therefore $ 3 Hundredths + 3 Tenths = 0.33

Hence, the required sum in the decimal form is 0.33.

Note: You must remember the naming of the place values of a number in both the Indian system and the International system. Remember the definitions and the difference between place value and face value of a digit. You must add the digit of a particular place value of a number with the same place value digit of the other number. Do not add the tenths place digit of one number with the hundredth place digit of the other number.