Hello students! Are you confused to simplify the numerical expressions? If yes, then this page is the one-stop solution to clarify your doubts. First of all the students must know what a numerical expression is and then practice the problems. The concept of Numerical Expressions Involving Whole Numbers is explained in detail in this article. We will learn how to perform fundamental or arithmetic operations like addition, subtraction, multiplication, and division involving whole numbers from here.

There are some methods to evaluate the numerical expressions involving whole numbers. Quick and easy learning is possible by referring to our page. This page is a support to all the students of 5th grade to score maximum marks in the exams. Check out the examples on Numerical Expressions Involving Whole Numbers from the below section.

## Numerical Expressions – Definition

A numerical expression is nothing but a mathematical sentence involving multiple operation symbols. Examples of operation symbols are addition, subtraction, multiplication, and division (+, -, ×, ÷).

### How to Evaluate Numerical Expressions Involving Whole Numbers?

- First, perform operations inside parentheses and brackets.
- Write the results of the performed operations inside the brackets.
- Evaluate the expressions from the inside to the outside.
- Now apply the operations of all the results and simplify the whole numbers.

### Evaluating Numerical Expressions Involving Whole Numbers Examples

Let us discuss the simple and easy methods to evaluate Numerical Expressions Involving Whole Numbers with examples here. So, the 5th-grade students are advised to check out the given problems and practice for the tests.

**Example 1.**

Simplify the numerical expression 30 + 40 ÷ 10 + 8 × 6

**Solution:**

Given that,

30 + 40 ÷ 10 + 8 × 6

First step: divide 40 ÷ 10

Then we get 4

Second step: multiply 8 × 6

Then we get 48

Third step: add 30 + 4 + 48 = 82

Therefore the solution of numerical expression 30 + 40 ÷ 10 + 8 × 6 = 82

**Example 2.**

Simplify the numerical expression 14 × 3 – 2 + 26 ÷ 3 × 4

**Solution:**

Given that,

14 × 3 – 2 + 26 ÷ 3 × 4

First step: multiply 14 × 3

Then we get 42

Second step: divide 26 ÷ 3

Then we get 8.6

Third step: multiply 8.6 × 4

Then we get 34.4

Fourth step: subtract 3 – 2

Then we 1

Fifth step: add 42 – 1 + 34.4 = 74.4

Therefore the solution of the numerical expression 14 × 3 – 2 + 26 ÷ 3 × 4 = 74.4

**Example 3.**

Simplify the numerical expression 2 × 1 + 8 + 3 × 4

**Solution:**

Given that

2 × 1 + 8 + 3 × 4

First step: multiply 2 × 1 = 2

Then we get 2

Second step: again multiply 3 × 4

Then we get 12

Third step: add 2 + 8 + 12 = 22

Therefore the solution of the numerical expression is 2 × 1 + 8 + 3 × 4 = 22

**Example 4. **

Simplify the numerical expression 12 – 4 × 2 + 8

**Solution:**

Given that,

12 – 4 × 2 + 8

First step: subtract 12 – 4

Then we get 8

Second step: 8× 2

Then we get 16

Third step: add 8 + 16 + 8 = 32

Therefore the solution of the numerical expression is 8 + 16 + 8 = 32

**Example 5. **

Simplify the numerical expression 16 × 1 – 4 + 2 × 8

**Solution:**

Given that,

16 × 1 – 5 + 2 × 8

First step: multiply 16 × 1

Then we get 16

Second step: subtract 16 – 1

Then we get 15

Third step: multiply 2 × 8

Then we get 16

Fourth step: add 15 + 16 = 31

Therefore the solution of the numerical expression is 16 × 1 – 5 + 2 × 8 = 31

### FAQs on Simplifying Numerical Expressions Involving Whole Numbers

**1. What does it mean to evaluate numerical expressions?**

To evaluate a numerical expression, we simplify the expression by using the given operations to obtain a single numerical value.

**2. What is a numerical expression example?**

A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operations.

Example: 5 + 20 – 9

5 + (20 – 9)

5 + 11

16

**3. What is a numeric expression?**

A numeric expression is a combination of numeric elements such as numbers, variables, and functions, and operators that evaluates to a numeric value.