Step-5

Title: Order of Operations

Grade: 6-a Lesson: S1-L7

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Calculate: \$ (5^2) - (3 \times 2 + 4) \div 2 \$

2

Step

The given expression

\$ (5^2) - (3 \times 2 + 4) \div 2 \$

3

Hint

To evaluate the expression, let’s follow the PEMDAS rule

Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)

4

Step

Evaluate the expression inside the parentheses

\$ 3 \times 2 = 6 \$

6 + 4 = 10

5

Step

So, the expression becomes

\$ 5^2 -10 \div 2\$

6

Step

Evaluate the exponent

\$ 5^2 \$ = 25

7

Step

So, the expression becomes

\$ 25 - 10 \div 2 \$

8

Step

Perform the division

\$ 10/2 \$ = 5

9

Step

Perform the subtraction:

25 - 5 = 20

10

Step

Therefore, the value of the expression is 20.

11

Choice.A

It is inaccurate as it doesn’t correspond to the precise result of 20, thus rendering it incorrect

19

12

Choice.B

This answer is correct because by applying the PEMDAS rule we got the result of 20

20

13

Choice.C

It is inaccurate as it deviates from the precise result of 20

21

14

Choice.D

It is incorrect as it does not align with the accurate outcome of 20

22

15

Answer

Option

B

16

Sumup

Can you summarize what you’ve understood in the above steps?


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