Fractions
World Problems
Absolute Value
Signs (+,-,/, & *)
Number Line
100

Convert each terminating decimal to a fraction in its simplest form.

0.4

0.4 = 4/10 = 2/5

100

Explain why (-4)(-5)=20.  

Just an example (Answer Varies)


A negative times a negative equals a positive because you're removing a negative repeatedly.

100

|10 - (-43)|

|53| or 53

100

42+ 8 = 

67 + 90 = 

243 - 12 = 

542 - 120 =

  • 42 + 8 = 50

  • 67 + 90 = 157

  • 243 - 12 = 231

  • 542 - 120 = 422

100

If I have -4.5, will be it be placed on left or right. In vertical number line, top or bottom?

Left 

Below

200

Convert each terminating decimal to a fraction in its simplest form.


  1. 0.16

  2. 0.625

1. 0.16 = 16/100 = 4/25 

2. 0.625 = 625/1000 = 5/8

200
An airplane flies at an altitude of 26,000 feet.  A submarine dives to a depth of 700 feet below sea level. What is the difference in their elevations?

26,000−(−700)=26,700

or 

26,000+700=26,700

200

∣−1−(−16) = 

∣15∣ or 15

200

8 * 9 = 

12 *4 = 

108/ 12 = 

75/ 15 =

  • 8 × 9 = 72

  • 12 × 4 = 48

  • 108 ÷ 12 = 9

  • 75 ÷ 15 = 5

200

This number is located 3.5 units to the left of zero on the number line. What is the number?

–3.5

300

Convert each fraction or mixed number to a decimal using an equivalent fraction.


4/5

4/5 = 0.8


300

Andre has $37 in his bank account and writes a check for $87. After the check has been cashed, what will the bank balance show?

Andre starts with $37 and writes a check for $87. That means he spends more than he has.

37 - 87 = -50

Answer: His bank balance will show -$50.

300

∣−14.5−13∣=

∣−27.5∣ or 27.5

300

Find the sums. 

-2+9 = 

-8+-8 = 

-4+(-6)+10 = 

5+7+(-11) = 

  • -2 + 9 = 7

  • -8 + (-8) = -16

  • -4 + (-6) + 10 = -10 + 10 = 0

  • 5 + 7 + (-11) = 12 - 11 = 1

300

Place the following numbers on a number line


            3, 4.5, -3, 0, -2.5, 2, -3.5

I will check the board individually

400

Convert each fraction or mixed number to a decimal using an equivalent fraction.

8/200

3 5/16

8/200 = 0.04 

3 5/16 = 3 + 5/16 = 3.3125


400

Each time that Samantha rides the commuter train, she spends $4 for her fare.  Write an integer that represents the change in Samantha’s money from riding the commuter train to and from work for 13 days.  Explain your reasoning.

Samantha spends $4 each time she rides the train.

She goes to and from work, so that’s 2 rides per day:

2×4=8 dollars per day

She does this for 13 days:

13×8=104 dollars total spent

Since she’s spending money, the change is negative.

Answer:

-104

400

∣−19−12∣= 

∣−31∣ or 31

400

Find the missing values in each column.

48÷4=


-48÷(-4)=


-48÷4=


48÷-4=



  • 48 ÷ 4 = 12

  • -48 ÷ (-4) = 12

  • -48 ÷ 4 = -12

  • 48 ÷ -4 = -12

400

Jamal is standing at 0 on a number line.
He walks 4 steps backward, then 2 steps forward.
Where is Jamal on the number line now?
Draw a number line to show his movement.

Number line: Start at 0 → move to –4 → end at –2.

500

Complete the quotients below without using a calculator, and answer the questions that follow.

1/ 11=

2/ 11=

3/ 11=

4/ 11= 

  • 1 ÷ 11 = 0.09 (repeating)

  • 2 ÷ 11 = 0.18 (repeating)

  • 3 ÷ 11 = 0.27 (repeating)

  • 4 ÷ 11 = 0.36 (repeating)

500
Write a real-world problem that can be modeled by 4×(-7).



Just an example (Answer Varies)


Jenna loses 7 dollars each day for 4 days buying lunch at school. How much money does she lose in total?

500

  |0 - (-9)| =

∣9∣ or 9

500

Find the sum.  Show your work to justify your answer.


1/3+ (-2 1/ 4) =

- 23/12 or −1 11/ 12

500

The temperature at 6 AM was –3°F.
By noon, the temperature increased by 7 degrees.
Show this change on a number line and find the new temperature.

Final temperature: 4°F

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