Problem Analysis:
The worksheet is divided into two main sections:
1.
Representation of Integers: Students are asked to write integers to represent given scenarios.
2.
Opposite Values of Integers: Students are asked to find the opposite (or additive inverse) of given integers.
Let's solve each section step by step.
---
Section 1: Representation of Integers
#### Instructions:
Write an integer to represent the following scenarios.
#### Solutions:
1.
Mr. Johnson withdrew $100 from his bank account.
- Withdrawing money represents a decrease in the account balance, which is a negative value.
- Integer:
-100
2.
Kevin's vegetable patch yielded 50 potatoes in all.
- Yielding 50 potatoes is a positive outcome.
- Integer:
+50 or simply
50
3.
Harry's friend gave him 2 pencils.
- Receiving 2 pencils is a positive action.
- Integer:
+2 or simply
2
4.
The temperature fell by 5 degrees today.
- A drop in temperature is represented as a negative change.
- Integer:
-5
5.
The plane was flying 1000 km above sea level.
- Flying above sea level is a positive elevation.
- Integer:
+1000 or simply
1000
---
Section 2: Opposite Value of Each Integer
#### Instructions:
Write the opposite value of each integer. The opposite (or additive inverse) of an integer is the number that, when added to the original integer, results in zero.
#### Solutions:
1.
Opposite of -24
- The opposite of -24 is the number that, when added to -24, gives 0. This is +24.
- Answer:
+24 or simply
24
2.
Opposite of -80
- The opposite of -80 is +80.
- Answer:
+80 or simply
80
3.
Opposite of +10
- The opposite of +10 is -10.
- Answer:
-10
4.
Opposite of +25
- The opposite of +25 is -25.
- Answer:
-25
5.
Opposite of -55
- The opposite of -55 is +55.
- Answer:
+55 or simply
55
6.
Opposite of +39
- The opposite of +39 is -39.
- Answer:
-39
7.
Opposite of +36
- The opposite of +36 is -36.
- Answer:
-36
8.
Opposite of -70
- The opposite of -70 is +70.
- Answer:
+70 or simply
70
9.
Opposite of +75
- The opposite of +75 is -75.
- Answer:
-75
10.
Opposite of +90
- The opposite of +90 is -90.
- Answer:
-90
---
Final Answers:
#### Section 1: Representation of Integers
1.
-100
2.
50
3.
2
4.
-5
5.
1000
#### Section 2: Opposite Value of Each Integer
1.
24
2.
80
3.
-10
4.
-25
5.
55
6.
-39
7.
-36
8.
70
9.
-75
10.
-90
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Section 1:} & \text{1) -100, 2) 50, 3) 2, 4) -5, 5) 1000} \\
\text{Section 2:} & \text{1) 24, 2) 80, 3) -10, 4) -25, 5) 55, 6) -39, 7) -36, 8) 70, 9) -75, 10) -90}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet on integers.
