Integers
What integers are between -8 and 4?
-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3
-6+(-14)
-20
Solve: 14 + (15 - 4)
25
A wall climber decided to scale the side of a mountain. She was able to clim 163 meters without a problem, but she gripped wrong hand hold. She slipped down 20 meters before her safety ropes stopped her fall. If she continues climbing and clims another 50 m, how far is she from the ground?
163 + (-20) + 50
= 143 + 50
= 193
She is 193 m from the ground.
The Dead Sea is 423m below sea level. Write this number as an integer.
-423
-6+|-12|
6
Solve: 70 - 12 x (2 + 3)
10
Dianne joined a quiz bee that awarded five points for every correct answer, and took away two points for every incorrect answer. If there were 20 questions and Dianne answered 4 incorrectly, how many points did she earn?
[(20 - 4) x 5] - (4 x 2)
= (16 x 5) - 8
= 80 - 8
= 72
She earned 72 points in total.
The temperature on Monday was 6 degrees. The temperature on Tuesday dropped 10 degrees. What was the temperature on Tuesday? Write your answer as an integer.
-4 degrees
-3 - (-4)
-3 - (-4)
= -3 + 4
= 1
Solve: [25 - (3x3)] ÷ 2
[25 - (3x3)] ÷ 2
= (25 - 9) ÷ 2
= 16 ÷ 2
= 8
In the stock markets today, a dairy company’s value increased, earning Mrs. Delfor Php 23,455. Unfortunately, the pet food company that she invested in lost Php 14,231. How much did she earn or lose in total?
*Earning is positive, losing is Negative
23,455 + (-14,231)
= 9224
She earned Php 9,224
What are opposite integers? Give an example to go with your explanation.
Opposite integers are integers that are the same distance from zero on opposite sides of a number line. Example: 1 and -1.
4 x (-15)
-60
10 - (-25) + 5*|5*3 - 25|
10--25+5*|15-25|
= 10 - (-25) + 5*|-10|
= 10 - (-25) + 5*10
= 10 - (-25)+50
= 10+25+50
= 85
Carsen wants to put up a glow-in-the-dark constellation display in his room. He needs a pack of two-sided tape, which costs Php 20. The star stickers cost Php 10 per pack and he wants to buy 3 packs. How much change will Carsen receive back if he gives the cashier Php 100?
100 - (20 + (10x3))
= 100 - (20 + 30)
= 100 - 50
= 50
Carsen will receive Php 50 back in change.
Is +5.5 an integer? Explain why or why not.
No +5.5 is not an integer because integers are whole numbers and +5.5 is not a whole number.
(-200)÷(-20)
10
2*|-8 ÷4 - 2|+ (-9) + 3(-2)÷2
2*|-2-2|+(-9)+3(-2) ÷2
= 2*|-4|+(-9)+3(-2) ÷2
= 2*4+(-9)+(-6) ÷2
= 2*4+(-9)+(-3)
= 8+(-9)+(-3)
= -1+ (-3)
= -4
The packing machine in a fruit company had an error one day. When they checked, it packed 40 oranges less than the usual amount. If there are eight boxes with the exact number of missing oranges, and each box is supposed to have twenty oranges inside, how many oranges are currently in each box?
Missing Oranges per box:
(40/8) = 5 oranges per box
Current oranges in a box:
= Original number - missing number
= 20 - 5
= 15
There are only 15 oranges in every box.