Step-2

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

Evaluate the expression:
\$ 10 − (4 + 2) \div 2 times 7 \$

2

Step

The given expression

\$ 10 − (4 + 2) \div 2 times 7 \$

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

Let’s solve the expression inside the parentheses first, and then we can move forward

4 + 2 = 6

\$ 10 − 6 \div 2 times 7 \$

5

Step

Next, solve the division then simplify

\$ 6 \div 2 = 3 \$

\$ 10 − 3 times 7 \$

6

Step

Then multiply 3 by 7

\$ 3 times 7 = 21 \$

10 - 21

7

Step

Finally, we perform subtraction:

10 - 21 = - 11

8

Step

So, the value of the expression is -11.

9

Choice.A

This is the correct answer as it matches the calculated result. It reflects the computation of the expression according to the order of operations

-11

10

Choice.B

This result is not consistent with the calculated value. It seems like a different order of operations was used to obtain this result

-44

11

Choice.C

This answer is incorrect as it doesn’t match the calculated result. It appears to be a result of adding only 10 and 7, without considering the other operations

28

12

Choice.D

This result does not match the calculated result. It appears to be an incorrect result, possibly obtained by misinterpreting the order of operations or making a calculation error

62

13

Answer

Option

A

14

Sumup

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


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