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Lesson Example Discussion Quiz: Class Homework

Step-1

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 the expression: \$ 10 − 3 times (8 − 5)^2 \$
2	Step	The given expression	\$ 10 − 3 times (8 − 5)^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	First, calculate the expression inside the parentheses	8 − 5 = 3
5	Step	Then, square the result	\$ 3^2 = 9 \$
6	Step	Now, substitute the result back into the expression	\$ 10 - 3 times 9 \$
7	Step	Now, let’s multiply	\$ 3 times 9 = 27 \$
8	Step	Finally, let’s subtract this result from 10	10 - 27 = - 17
9	Step	So the correct answer is - 17.
10	Choice.A	This is not the correct answer. It seems like a result that might have come from subtracting 10 from 27, but it does not reflect the correct computation of the expression	-21
11	Choice.B	The simplified expression gives -17, confirming option B’s accuracy with its operations leading to the result of -17	-17
12	Choice.C	This option suggests a misunderstanding of the operations, possibly by adding instead of subtracting	63
13	Choice.D	This choice indicates a significant calculation error, possibly by a misunderstanding of the order of operations	-51
14	Answer	Option	B
15	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Calculate the expression:
\$ 10 − 3 times (8 − 5)^2 \$

Step

The given expression

\$ 10 − 3 times (8 − 5)^2 \$

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)

Step

First, calculate the expression inside the parentheses

8 − 5 = 3

Step

Then, square the result

\$ 3^2 = 9 \$

Step

Now, substitute the result back into the expression

\$ 10 - 3 times 9 \$

Step

Now, let’s multiply

\$ 3 times 9 = 27 \$

Step

Finally, let’s subtract this result from 10

10 - 27 = - 17

Step

So the correct answer is - 17.

Choice.A

This is not the correct answer. It seems like a result that might have come from subtracting 10 from 27, but it does not reflect the correct computation of the expression

-21

Choice.B

The simplified expression gives -17, confirming option B’s accuracy with its operations leading to the result of -17

-17

Choice.C

This option suggests a misunderstanding of the operations, possibly by adding instead of subtracting

Choice.D

This choice indicates a significant calculation error, possibly by a misunderstanding of the order of operations

-51

Answer

Option

Sumup

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