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Lesson Example Discussion Quiz: Class Homework

Step-5

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: \$ (- 21) - (+ 5) - ( - 10 ) \$
2	Hint	The three integers are	\$ - 21 , 5 , - 10 \$
3	Step	Subtraction problem turns into an addition problem	\$ (- 21) + ( - 5 ) + 10 \$
4	Step	After subtractio problem turns into an addition problem	\$ ((- 21) + ( - 5 )) + 10 \$
5	Step	Here we apply the rule of addition of negative integers	\$ (-) + (-) = (-) \$
6	Step	Let us add both the negative integers	\$ (- 21 + (- 5)) + 10 \$
7	Step	After adding both negative integers	\$(- 21 - 5) + 10 \$
8	Step	After simplification	\$- 26 +10 \$
9	Formula:	If we follow the addition rule of negative and positive integers	\$ (-) + (+) = "use the sign of larger absolute value number" \$
10	Step	Let us add both the negative integers	\$ - 26 + 10 \$
11	Step	After adding we get	\$ - 16 \$
12	Step	Therefore, the subtraction of integers is \$ - 16 \$.
13	Choice.A	This is not correct because it incorrectly states that the result of the subtraction is positive 16	16
14	Choice.B	This is not correct because it incorrectly applies the rules of subtracting integers	-22
15	Choice.C	To solve (-21) - (+5) - (-10), follow integer subtraction rules. First, simplify (-21) - (+5) to -26. Then, simplify (-26) - (-10) to -16. So -16 is the correct answer	-16
16	Choice.D	This is not correct because it suggests that the result of the subtraction is positive, which is not the case	22
17	Answer	Option	C
18	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Subtraction of integers:
\$ (- 21) - (+ 5) - ( - 10 ) \$

Hint

The three integers are

\$ - 21 , 5 , - 10 \$

Step

Subtraction problem turns into an addition problem

\$ (- 21) + ( - 5 ) + 10 \$

Step

After subtractio problem turns into an addition problem

\$ ((- 21) + ( - 5 )) + 10 \$

Step

Here we apply the rule of addition of negative integers

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

Step

Let us add both the negative integers

\$ (- 21 + (- 5)) + 10 \$

Step

After adding both negative integers

\$(- 21 - 5) + 10 \$

Step

After simplification

\$- 26 +10 \$

Formula:

If we follow the addition rule of negative and positive integers

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

Step

Let us add both the negative integers

\$ - 26 + 10 \$

Step

After adding we get

\$ - 16 \$

Step

Therefore, the subtraction of integers is \$ - 16 \$.

Choice.A

This is not correct because it incorrectly states that the result of the subtraction is positive 16

Choice.B

This is not correct because it incorrectly applies the rules of subtracting integers

-22

Choice.C

To solve (-21) - (+5) - (-10), follow integer subtraction rules. First, simplify (-21) - (+5) to -26. Then, simplify (-26) - (-10) to -16. So -16 is the correct answer

-16

Choice.D

This is not correct because it suggests that the result of the subtraction is positive, which is not the case

Answer

Option

Sumup

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