Question

How do you evaluate \[3 + 2 \cdot 4\]?

Answer 1

Hint: Here in this question, we have to simplify the given terms. The question contains more than one arithmetic operation so we use the BODMAS rule. It is abbreviated as Brackets Of Division Multiplication Addition Subtraction. By applying the rule, we obtain the result.

Complete step by step solution:
Generally, we have 4 types of arithmetic operations namely
Addition (+) which adds the numbers.
Subtraction (-) which subtracts the numbers.
Multiplication (\[ \times \]) which multiplies the numbers.
Division (\[ \div \]) which divides the numbers.
To solve the above question, we follow the BODMAS rule and it is abbreviated as Brackets Of Division Multiplication Addition Subtraction. Here “of” signifies the operation multiplication. If we have “of” in the question we have to multiply.
In the expression if the dot symbol is present between the two terms and that to middle means then it is a multiplication operator. Suppose if it is present below means then it is considered as a decimal number.
Now consider the given question.
\[ \Rightarrow 3 + 2 \cdot 4\]
The dot represents the multiplication
According to the BODMAS rule, for this question we have to simplify the term which has a multiplication operator. So here we are multiplying 2 and 4. On multiplying 2 and 4 we get 8.
\[ \Rightarrow 3 + 8\]
On adding the numbers 3 and 8, we get
\[ \Rightarrow 11\]
Therefore \[3 + 2 \cdot 4 = 11\].

Note:
The arithmetic operations and tables of multiplication play an important role in solving these types of questions. BODMAS rule is applied where the question involves more than one arithmetic operation. If we simplify randomly, we don’t obtain the correct solution