 # Simplification of Numerical Expressions Involving Decimal Numbers | How to Evaluate Numerical Expressions Involving Decimals?

Improve your knowledge on evaluating the numerical expressions involving decimal numbers from here. Different types of questions on Numerical Expressions Involving Decimal Numbers are available on this page. The students of 5th grade can know how to perform fundamental operations like addition, subtraction, multiplication, and division.

So, the students who want to prove their best in the exams can make use of this page. You can learn simple techniques to simplify the numerical expressions with decimal numbers. We have provided this article to give parents and students a better understanding of the numerical expressions involving decimal numbers.

Do Refer:

## What is a Numerical Expression?

A numerical expression is a mathematical statement that involves different types of operations like addition, subtraction, multiplication, and division.

### How to Simplify Numerical Expressions Involving Decimals?

Let us see the steps to evaluate the numerical expressions involving decimal numbers from here.
1. Check the given expression and perform the operations inside parentheses and brackets.
2. Simplify the values inside the bracket.
3. Write the results of the performed operations such as addition, subtraction, multiplication, and division inside the brackets.
4. Evaluate the expressions from the left.
5. Now apply all the required operations of all the results and simplify the decimal numbers.

### Simplification of Numerical Expressions with Decimal Numbers Problems

Know more about numerical expressions involving decimal numbers with some examples.

Example 1.
Simplify the numerical expression involving decimal 0.5 + 2 × 1.2 ÷ 0.3 – 0.1
Solution:
First step : divide 1.2 ÷ 0.3 = 4
Second step : multiply 2 × 4 = 8
Third step : subtract 8 – 0.1 = 7.9
Fourth step : add 7.9 + 0.5 = 8.4
Therefore 0.5 + 2 × 1.2 ÷ 0.3 – 0.1 = 8.4

Example 2.
Simplify the numerical expression involving decimal 0.64 ÷ 2.5 + 1.4 × 1.5 – 1.3
Solution:
First step : divide 0.64 ÷ 2.5 = 0.256
Second step : multiply 1.4 × 1.5 = 2.1
Third step : subtract 2.1 – 1.3 = 0.8
Fourth step : rearrange the equation 0.256 + 0.8 = 0.32
Therefore 0.64 ÷ 2.5 + 1.4 × 1.5 – 1.3 = 0.32

Example 3.
Simplify the numerical expression involving decimal 3 – 1.5 ÷ 6 × 0.6 + 2
Solution:
First step : divide 1.5 ÷ 6 = 0.25
Second step : multiply 0.25 × 0.6 = 0.15
Third step : subtract 3 – 0.25 = 2.75
Fourth step : add 0.15 + 2 = 2.15
Therefore 3 – 1.5 ÷ 6 × 0.6 + 2 = 2.15

Example 4.
Simplify the numerical expression involving decimal 0.5 + 4 × 1.24 ÷ 0.8 – 0.7
Solution:
First step : divide 1.24 ÷ 0.8 = 1.55
Second step : multiply 4 × 1.55 = 6.2
Third step : subtract 6.2 – 0.7 = 5.5
Fourth step : add 0.5 + 5.5 = 6
Therefore 0.5 + 4 × 1.24 ÷ 0.8 – 0.7 = 6

Example 5.
Simplify the numerical expression involving decimal 4.82 – 2.4 ÷ 7 × 0.8 + 8
Solution:
First step : divide 2.4 ÷ 7 = 0.34
Second step : multiply 0.34 × 0.8 = 0.272
Third step : subtract 4.82 + 0.272 = 4.548
Fourth step : add 4.548 + 8 = 12.54
Therefore 4.82 – 2.4 ÷ 7 × 0.8 + 8 = 12.54

### FAQs on Evaluating Numerical Expressions Involving Decimals

1. How do you evaluate numerical expressions involving decimals?

1. Perform operations inside brackets.
2. Simplify the expressions inside the brackets.
3. Multiply and divide the decimals from left to right.
4. Add and subtract from the left to right.

2. What is a Numerical Expression?

A Numerical expression is a mathematical statement with multiple fundamental operations.

3. Can expressions have decimals?

Yes, the numerical expressions also involve decimal numbers.

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