Evaluate numerical expressions involving rational numbers
Key notes:
To evaluate an expression with multiple operations, you can follow the order of operations:
- Perform operations inside brackets.
- Evaluate exponents.
- Multiply and divide from left to right.
- Add and subtract from left to right.
Learn with an example
Evaluate the expression.
0.2÷2+0.6
Write your answer as an integer or a decimal. Do not round.
First, identify the operations in the expression.
0.2÷2+0.6
This expression has division and addition. The order of operations says to divide before adding.
0.2÷2+0.6=0.1+0.6
Now, add.0.1+0.6=0.7
The value of the expression is 0.7.
Evaluate the expression.
0.3÷3×0.2
Write your answer as an integer or a decimal. Do not round.
First, identify the operations in the expression.
0.3÷3×0.2
This expression has division and multiplication. The order of operations says to multiply and divide from left to right.
0.3÷3×0.2
=0.1×0.2
=0.1×0.2
=0.02
The value of the expression is 0.02.
Evaluate the expression.
1 ÷ 2/3 – 1/2
First, identify the operations in the expression.
1 ÷ 2/3 – 1/2
This expression has division and subtraction. The order of operations says to divide before subtracting.
1 ÷ 2/3 – 1/2
= 1 x 3/2 – 1/2 To divide, multiply by the reciprocal
= 3/2 – 1/2
Now, subtract.
3/2 – 1/2
= 2/2
= 1 Reduce the fraction to lowest terms
The value of the expression is 1.
Let’s practice!🖊️
