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📚 Vocabulary
➕➖ Integer Operations
🍕 Fraction Operations
🔢 Rational Numbers
🧠 Real-World Challenge
100

What vocabulary term describes any number that can be written as a fraction?

Rational number

100

−7 + 12

ANSWER:

5 

100

QUESTION:

 -3/5 * 2/3 


ANSWER:


 -6/15 = -2/5 

100

QUESTION:

What is the additive inverse of:

−13 

ANSWER:

13

100


Chase made

2/3

 of a quart of Lemonade. Each cup holds

1/3

 of a quart. How many cups will Chase be able to fill?

ANSWER:

2

200

A number is 7 units away from 0 on a number line.

What vocabulary term describes this distance from zero?

Absolute Value

200

QUESTION:

−5−(−13) 

ANSWER: Use KCC Method

−5+13=8 

200

QUESTION:

 -1/3 + 2/9 

ANSWER: 

MAKE DENOMINATORS THE SAME

 -3/9 + 2/9 = -1/9

200

QUESTION:

Which expression is equivalent to:

7.4 - 10.25

A. 7.4 + (-10.25)
B. -7.4 + 10.25
C. 10.25 + (-7.4)
D. −7.4 + (−10.25)

ANSWER:

A. 7.4 + (-10.25)


200

QUESTION:

A submarine is 450 feet below sea level. It ascends 175 feet.

What is the submarine's new position?

ANSWER:

-275 

275 feet below sea level

300

One decimal is: 

0.625

Another decimal is:

0.272727...

What vocabulary terms describe each type of decimal?

ANSWER:
0.625 = Terminating Decimal

0.272727... = Repeating Decimal

300

QUESTION:

(−8)(−6) 

ANSWER:

48

Multiplication sign rules: negative × negative = positive.

300

QUESTION:

-3/10 - 2/5 = 

ANSWER:

MAKE DENOMINATORS THE SAME

-3/10 - 4/10 = -7/10

300

QUESTION:

Convert to a decimal:

 3/8 

Then determine whether the decimal is terminating or repeating.

ANSWER:


3\div8=0.375 

— Terminating 

300

QUESTION:

A bank account has a balance of $525.

Then:

  • $75 is withdrawn
  • $40 is deposited
  • $125 is withdrawn

What is the new balance?

ANSWER:

525 -75 + 40 -125

450 + 40 - 125 

490 − 125=$365 

400

What vocabulary word means numbers that do not have fractional or decimal parts and can be positive, negative, or zero?

Integer

400

QUESTION:

−56÷7 

ANSWER:

−8

Different signs → negative answer.

400

QUESTION:

3 1/4 - 1 2/3 = 

ANSWER:

- CONVERT FROM MIXED NUMBER TO IMPROPER FRACTION 

- MAKE DENOMINATOR THE SAME 

 13/4 - 5/3 

39/12 - 20/12 = 19/12

OR

1 7/12

400

QUESTION:

Convert to a decimal:

4/11

Then determine whether the decimal is terminating or repeating.

ANSWER:

Repeating Decimal

4÷11=0.363636...                 

400

QUESTION:

You have $24 on a gift card. During the week, you:

  • Spend $16
  • Add $5 to the card
  • Spend $9
  • Add $3

What is the balance on the gift card now?

ANSWER:

24 -16 + 5 - 9 + 3 

8 + 5 - 9 + 3 

13 - 9 +3 

= $7 

500

What vocabulary term describes a fraction that contains another fraction in its numerator, denominator, or both?

Complex Fraction

500

QUESTION:

Evaluate:

−9+(−14)−(−6)+3 

First change subtracting a negative:

-9+(-14)+6+3

Then solve:

-23 + 6 + 3 

−17+3 = −14 

500

QUESTION:

 0.75÷(−3/8)  

ANSWER:

- Convert the decimal 0.75 to 3/4 

  3/4 ÷(−3/8)  

- Then use KCF:

3/4 ×(−8/3) = -24/12 = -2

500

QUESTION:

Which TWO numbers are additive inverses?

A. -5/6   B. \(0.8\overline{3}\)   C. \(-0.56\overline{3}\)   D. 5/8 

ANSWER:


A & B

500

A recipe uses

2/3

 cup of milk for each batch of choc. cookies. You have

3 1/3

 cups of milk.

How many full batches of choc. cookies can you make?

Answer

5 batches

3 1/3 = 10/3 

10/3 ÷ 2/3

Use KCF:

10/3 × 3/2 = 30/6 = 5