There are two types of numbers.
i) Positive numbers
ii) Negative numbers.
Real situations of having positive numbers :
We gain something or increased something.
For example,
Problem 1 :
Write each word under the correct heading,
Positive |
Negative |
Words
1) Below 2) gain 3) taken away 4) above 5) added to 6) deposit 7) bonus |
8) lost 9) increase 10) 5 wrong 11) 6 correct 12) Decrease 13) fall |
Solution :
1) Below = - 2) gain = + 3) taken away = - 4) above = + 5) added to = + 6) deposit = + 7) bonus = + |
8) lost = - 9) increase = + 10) 5 wrong = +5 11) 6 correct = -6 12) Decrease = - 13) fall = - |
Represent the following statements as integers.
Problem 2 :
Rony earned $5
Solution :
He is earning, so we use positive (+)
= +5
Problem 3 :
The temperature falls 100 degrees.
Solution :
The temperature falls means it reduces, so -100 degree.
Problem 4 :
Tim won 20 points
Solution :
Won, he has gained. So, we use positive sign.
+20
Problem 5 :
Jack lost forty dollars
Solution :
Lost means we have to reduce. Then, we use negative sign.
- 40
Problem 6 :
The plant has grown 3 inches since last month
Solution :
Grown means it is increased, then we will use positive.
+ 3
Problem 7 :
Thomas has to pay $4 as penality
Solution :
Amount that he has to pay, then the amount should be reduced.
- 4
Problem 8 :
The cat lost its two kittens
Solution :
Lost two kittens, so -2
Problem 9 :
Rosy have 12 excessive stamps compared to others.
Solution :
Excessive stamps, so +.
+ 12
Problem 10 :
Henry won a lottery amount of $50
Solution :
Won the amount, so + 50.
Problem 11 :
Andy got 7 set of watches as gift.
Solution :
+ 7
Problem 12 :
Zack lost 5 pounds since last month.
Solution :
He lost, then we use the negative sign. +5.
Problem 13 :
The temperature in Fargo, North Dakota was 6° F at noon. By 4 pm the temperature dropped to -10° F. What integer represents the change in temperature ?
Solution :
At noon the temperature = 6° F
At the end temperature dropped = -10° F
Change in temperature = -10 - 6
= -16° F
Problem 14 :
A snail climbs 3 inches up a wall. Then it slides 6 inches down the wall. What integer represents the distance the snail traveled from its original position ?
Solution :
It is climbing up 3 inches, so +3
Slides down 6 inches, so -6
We have to consider the initial position is at 0. 3 units it is coming down.
Problem 15 :
During scuba lessons, Sue dove 30 feet, Harrie dove 120 feet and Kathy dove 90 feet. What integers represents these depts ? Order the integers from least to greatest.
Solution :
The surface will be 0
Sue is at -30
Harrie is at -120
Kathy is at -90
Ordering from least to greatest,
-120, -90, -30
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