POSITIVE AND NEGATIVE NUMBERS CONNECTING IN REAL LIFE

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,

• in a business we have received the profit of \$100 means, we will write it as + 100.
• if we loss \$50 means, we will write it as -50.

Problem 1 :

Write each word under the correct heading,

 Positive Negative

Words

 1) Below2) gain3) taken away4) above5) added to6) deposit7)  bonus 8) lost9) increase10) 5 wrong11) 6 correct12) Decrease13) 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 = +511) 6 correct = -612) 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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