Question

Evaluate the following expression:
\[{{\left( 0.7 \right)}^{2}}\]

Answer 1

Hint: We are given an expression which we have to evaluate and find the value of the expression. We are given a decimal number 0.7 and we have to find its square. That is, we can also write the square of the given number as \[{{\left( 0.7 \right)}^{2}}=0.7\times 0.7\]. So, we will carry out the multiplication operation of the given number and then we will put the decimal points appropriately as well. Hence, we will have the value of the given expression.

Complete step by step answer:
According to the given question, we are given an expression which we have to evaluate and find the value of the given expression. The expression that we have is,
\[{{\left( 0.7 \right)}^{2}}\]
We can also write the above expression which has the square of 0.7 as the product of the number 0.7, that is, we have,
\[\Rightarrow 0.7\times 0.7\]
We will now carry out the multiplication operation of the above expression and we have the value of the expression as,
\[\Rightarrow 0.49\]
Here, the decimal point is placed two places towards the left. As two \[0.7\] will result in the number having a decimal point up to two decimal places.
Therefore, we have the value of the given expression as \[{{\left( 0.7 \right)}^{2}}=0.49\].

Note: The multiplication operation of decimal numbers should be carried out carefully. The correct count as to where the decimal point should be placed after the multiplication operation is very important else the answer will get wrong. Also, zeroes after the decimal point can be ignored, that is, \[0.7,0.70 \text{and} 0.700\] are all the same.