Question

How do you solve \[7 + 8({3^2} - 2)\] ?

Answer 1

Hint: Here in this question, we have to solve the given equation, the equation is not an algebraic equation. By using the mathematical operations to the numerals and hence we determine the value and the result will be in the form of real numbers. Here we follow the BODMAS rule.

Complete step-by-step answer:
In mathematics there are different kinds of numbers namely, natural number, whole number, integers, real numbers, rational numbers and irrational numbers. To these numbers the arithmetic operations are applied. The operations which are applied to the numbers are addition, subtraction, multiplication and division. The BODMAS rule is “Bracket Of Division Multiplication Addition Subtraction”.
Now consider the given question
 \[7 + 8({3^2} - 2)\]
First, we simplify the terms which are present in the bracket. So first we determine the value of \[{3^2}\] , the number 3 has the power 2, therefore we multiply the number 3 twice and hence we get
 \[ \Rightarrow 7 + 8(9 - 2)\]
Now we will subtract 2 from 9 and we get
 \[ \Rightarrow 7 + 8(7)\]
On multiplying the number 8 and the number 7 and hence we get
 \[ \Rightarrow 7 + 56\]
On adding the number 7 and the number 56 and we get
 \[ \Rightarrow 63\]
Hence we have solved the given inequality. Therefore the value of \[7 + 8({3^2} - 2) = 63\]
So, the correct answer is “63”.

Note: Usually these kinds of problems are solved by using the rule called “BODMAS” where it is abbreviated as Bracket Of division or Multiplication Addition or Subtraction. If the inequality contains more than one mathematical operation then we follow the BODMAS rule and this helps us to solve the given inequality and the result will be accurate.