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Lesson Topics Discussion Quiz: Class Homework

Example1

Title: Grouping Symbols

Grade 6+ Lesson s1-l6

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Evaluate the expression:

{ [ (22 + 3) × 6 ] × (3 × (6 + 4) − [ 5 × ( 3 − 2 ) ] ) } ÷ 3

Step 1

The given expression is
{ [ (22 + 3) × 6 ] × (3 × (6 + 4) − [ 5 × ( 3 − 2 ) ] ) } ÷ 3

Start with the innermost parentheses:

Inside the first set of square brackets:
(22 + 3) = 25
Inside the second set of square brackets:
(3 − 2) = 1
5 \$\times \$ 1 = 5
Inside the second set of parentheses:
(6 + 4) = 10
3 \$\times\$ 10 = 30
Subtract the result of the brackets from the result of the multiplication:
30 − 5 = 25

Explanation:

We simplify the expression by calculating values in the innermost parentheses and brackets separately using addition, subtraction, and multiplication operations.

Step 2

Now, go back to the main expression:

[(25 × 6) × 25] \$\div\$ 3

Explanation:

Simplify the innermost parts of the expression before returning to the main expression with the results obtained from the previous step.

Step 3

Multiply inside the first set of parentheses:

25 \$\times \$ 6 = 150

Explanation:

After resolving the innermost parentheses, we proceed to multiply 25 by 6, enclosed within the first set of parentheses.

Step 4

Now, multiply 150 by 25:

\$150 \times 25 = 3750\$

Explanation:

After solving the first multiplication, we multiply the result by 25, which is outside the parentheses.

Step 5

Now, divide 3750 by 3:

\$3750 \div 3 = 1250\$

Explanation:

After multiplying the numbers, divide the result by 3, then the final answer for the expression is 1250.

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