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Lesson Example Discussion Quiz: Class Homework

Step-3

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: \$ (+ 2) - (+ 3) - (+ 5) \$
2	Hint	The three integers are	\$ 2 , 3 , 5 \$
3	Step	Subtraction problem turns into an addition problem	\$ ((+ 2) + (- 3)) + (- 5) \$
4	Formula:	If we follow the addition rule of positive and negative integers	\$ (+) + (-) = "use the sign of larger absolute value number" \$
5	Step	Let us add both the positive and negative integers	\$ (2 + (- 3)) + (- 5) \$
6	Step	After adding the both positive and negative integers	\$( 2 - 3 ) + (-5) \$
7	Step	Simplify the both positive and negative integers	\$(- 1) + (- 5) \$
8	Step	Here we apply the rule of addition of negative integers	\$ (-) + (-) = (-) \$
9	Step	Let us add both the negative integers	\$ - 1 + (- 5) \$
10	Step	Simplify the negative integers	\$- 1 - 5 \$
11	Step	After adding	\$ - 6 \$
12	Step	Therefore, the subtraction of integers is \$ - 6 \$.
13	Choice.A	-4 is incorrect because subtracting positive integers entails adding their opposites. (+ 2) - (+ 3) - (+ 5) becomes (+ 2) + (- 3) + (- 5). The sum is - 6, making - 6 is correct	-4
14	Choice.B	This is inaccurate as it implies the outcome is -2, contradicting the actual calculations	-2
15	Choice.C	Incorrect as it only displays (+2) subtracted from (+3), not the complete given expression	-1
16	Choice.D	Given (+2) - (+3) - (+5), rewrite it as (+2) + (-3) + (-5) and solve, resulting in -6	-6
17	Answer	Option	A
18	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Subtraction of integers:
\$ (+ 2) - (+ 3) - (+ 5) \$

Hint

The three integers are

\$ 2 , 3 , 5 \$

Step

Subtraction problem turns into an addition problem

\$ ((+ 2) + (- 3)) + (- 5) \$

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

\$ (2 + (- 3)) + (- 5) \$

Step

After adding the both positive and negative integers

\$( 2 - 3 ) + (-5) \$

Step

Simplify the both positive and negative integers

\$(- 1) + (- 5) \$

Step

Here we apply the rule of addition of negative integers

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

Step

Let us add both the negative integers

\$ - 1 + (- 5) \$

Step

Simplify the negative integers

\$- 1 - 5 \$

Step

After adding

\$ - 6 \$

Step

Therefore, the subtraction of integers is \$ - 6 \$.

Choice.A

-4 is incorrect because subtracting positive integers entails adding their opposites. (+ 2) - (+ 3) - (+ 5) becomes (+ 2) + (- 3) + (- 5). The sum is - 6, making - 6 is correct

-4

Choice.B

This is inaccurate as it implies the outcome is -2, contradicting the actual calculations

-2

Choice.C

Incorrect as it only displays (+2) subtracted from (+3), not the complete given expression

-1

Choice.D

Given (+2) - (+3) - (+5), rewrite it as (+2) + (-3) + (-5) and solve, resulting in -6

-6

Answer

Option

Sumup

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