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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Subtracting signed numbers

Grade: 6-a Lesson: S1-L3

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Subtraction of integers: \$ (- 10) - (- 3) - (+ 2) \$
2	Hint	The three integers are	\$ - 10 , - 3 , 2 \$
3	Step	Subtraction problem turns into an addition problem	\$ ((- 10) - ( - 3 )) + (- 2) \$
4	Step	After subtraction problem turns into an addition problem	\$ ((- 10) + 3) + (- 2) \$
5	Formula:	If we follow the addition rule of positive and negative integers	\$ (-) + (+) = "use the sign of larger absolute value number" \$
6	Step	Let us add both the positive and negative integers	\$( - 10 + 3 ) + (- 2) \$
7	Step	After adding both positive and negative integers	\$(- 7) + (- 2) \$
8	Step	Here we apply the rule of addition of negative integers	\$ (-) + (-) = (-)\$
9	Step	Let us add both the negative integers	\$ (- 7) + (- 2) \$
10	Step	After adding both negative integers	\$-7 - 2 \$
11	Step	After adding	\$ - 9 \$
12	Step	Therefore, the subtraction of integers is \$ - 9 \$.
13	Choice.A	Incorrect; integer subtraction doesn’t involve subtracting the absolute value of 2 from the result	-5
14	Choice.B	To solve (-10) - (-3) - (+2), first, we compute (-10) - (-3), resulting in -7. Then, subtract (+2), yielding -9	-9
15	Choice.C	-5 inaccurately represents (-10) - (-3) - (+2); the correct answer is - 9	-7
16	Choice.D	This is not correct because it doesn’t accurately represent the result of the given expression This is not correct because it doesn’t accurately represent the result of the given expression	-11
17	Answer	Option	B
18	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Subtraction of integers:
\$ (- 10) - (- 3) - (+ 2) \$

Hint

The three integers are

\$ - 10 , - 3 , 2 \$

Step

Subtraction problem turns into an addition problem

\$ ((- 10) - ( - 3 )) + (- 2) \$

Step

After subtraction problem turns into an addition problem

\$ ((- 10) + 3) + (- 2) \$

Formula:

If we follow the addition rule of positive and negative integers

\$ (-) + (+) = "use the sign of larger absolute value number" \$

Step

Let us add both the positive and negative integers

\$( - 10 + 3 ) + (- 2) \$

Step

After adding both positive and negative integers

\$(- 7) + (- 2) \$

Step

Here we apply the rule of addition of negative integers

\$ (-) + (-) = (-)\$

Step

Let us add both the negative integers

\$ (- 7) + (- 2) \$

Step

After adding both negative integers

\$-7 - 2 \$

Step

After adding

\$ - 9 \$

Step

Therefore, the subtraction of integers is \$ - 9 \$.

Choice.A

Incorrect; integer subtraction doesn’t involve subtracting the absolute value of 2 from the result

-5

Choice.B

To solve (-10) - (-3) - (+2), first, we compute (-10) - (-3), resulting in -7. Then, subtract (+2), yielding -9

-9

Choice.C

-5 inaccurately represents (-10) - (-3) - (+2); the correct answer is - 9

-7

Choice.D

This is not correct because it doesn’t accurately represent the result of the given expression This is not correct because it doesn’t accurately represent the result of the given expression

-11

Answer

Option

Sumup

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