Unit 7 Rational Numbers and their Opposites 6th Grade STEAM Academy

Concept of Zero & Integers

100

What is | - 7 |

7

200

Which integer represents 100 feet below sea level?

A. 100  B. |-100|  C. - 100  D. - (-100)

C. - 100

300

Select the statement that can be represented by –10 dollars.

A. Joah found $10 on the sidewalk.

B. Dana withdrew $10 from her checking account.

C. Maliya earned $10 mowing his neighbors yard.

D. Jude deposited $10 into her savings account.

B. Dana withdrew $10 from her checking account.

400

What is - | -100 |

- 100

500

True or false:| -6 | > | -7 |

False

Integers and Opposites

100

What is the opposite of  8? 

- 8

200

What is the opposite of the opposite of 8?

8

300

Solve - ( - 8 )

8

400

Solve -| -8 |

- 8

500

-8²

-64

Compare & Order Rational Numbers

100

True or false:  3 7/8 < 3 1/4

False:  3 7/8 is closer to 4 than  3 1/4 .

200

True of false : 5/6 > 5/7

True :  5/6 = 0.8333... and 5/7 = 0.71428...

300

True or False:  8/2 > 9/5

True: 8/2 = 4  > 9/5 = 1.8

400

Put in order from the least to the greatest:

5/2, - 3/4, - 1/2 , - (- 3)

- 3/4 , - 1/2 , 5/2 , - (-3) because

 -3/4, - 1/2, 2.5, 3

500

True or false:  ( - 8)²  > -8²

True:  ( - 8)²  > -8²

              ^{(-8) (-8) > -1 (8) ( 8)} 

           64 > - 64

Absolute Value vs Statements of Order

100

Choose the correct statement

A. The absolute value of zero is zero.

B.The absolute value of zero is -1.

C. Zero has no absolute value. 

A.The absolute value of zero is zero.

200

Which statement is true?

A. |-2| > | 2 |  B. |-2| < |2|  C. |-2 | = | 2|

C. |-2 | = | 2|

300

Which sentence is true?

A. |-5| > -5   B. |-5| < -5   C.  | - 5| = - 5

A. |-5| > -5

       5 > -5

400

Suppose a flea is jumping around on the number line. If the flea starts at 6 and jumps 7 units to the left, where is the flea on the number line?

-1

500

Suppose a flea is jumping around on the number line. If the flea starts at 6 and jumps 7 units to the left and then 2 jumps to the right, where is the flea on the number line?

1

All about Ratios

100

In the school garden, there are 12 tomato plants and 8 pepper plants.What is the ratio of tomato plants to pepper plants written in simplest form?

3 : 2

200

A smoothie recipe uses 2 cups of strawberries for every 3 cups of yogurt. If you use 6 cups of strawberries, how many cups of yogurt are needed to keep the ratio the same?

9 cups of yogurt

300

A classroom map uses a scale where 1 inch represents 4 miles. If two cities are 7 inches apart on the map, how many miles apart are the cities in real life?

28 miles

1 x 7 -> 4 x 7 = 28

400

A cyclist rides 36 miles in 3 hours at a constant speed.What is the cyclist’s unit rate in miles per hour?

12 miles per hour

500

A student answered 18 out of 24 questions correctly on a quiz. What percent of the questions did the student answer correctly?

75%