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1-1 Practice
Rational Numbers, Opposites, and Absolute Value
1.
A problem in a math book asked students to categorize the following set of numbers.
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{- 3, - 2, 0, 1, 2, 3}
All of the numbers in the set could be best categorized as –
a) Whole Numbers
b) Integers
c) Rational Numbers.
2. Use the Venn diagram to determine the smallest region in which to place A when A = -71.
a) Integers
b) Rational numbers
c) Whole numbers
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3. Your friend classified – as an integer only. What error did your friend make?
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a) Your friend did not classify – as a rational number.
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b)
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Your friend incorrectly classified – as an integer.
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c) Your friend did not classify – as a whole number.
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For numbers 4-6, insert <, =, or > between the numbers below to make a true statement.
4. |− 13| _________ |19|
5. |−12.55| _________ |12.55|
7. Which list shows the values in order from least to greatest?
a) | − 32|, |0.74|, | − 10|
d) |0.74|, | − 32|, | − 10|
b) | − 10|, |0.74|, | − 32|
e) |0.74|, | − 10|, | − 32|
c) | − 32|, | − 10|, |0.74|
f) | − 10|, | − 32|, |0.74|
6. |− 224| _________ |− 226|
8. Order the values |-19.8|, |19.01|, ∣-22∣, |30|, ∣-24.55∣, |-16 ¼| from greatest to least.
_________, _________, _________, _________, _________, _________
9.
Which of these situations can be represented by the opposite of −9?
a) You walk down 9 flights of stairs.
b) You climb up 9 flights of stairs.
c) The temperature drops 9°F.
d) You spend $9 on a book.
10. A worker in a silver mine descends 57 feet. What integer best represents the change in the worker's position?
________________
11. In a recent year, the number of DVDs shipped to an online retailer was 7,200 less than the previous year.
What integer best describes the change in the number of DVDs shipped?
________________
12. Two submarines are underwater. The number -356 represents Submarine A's position, in fee, relative to the
surface. The number -429 represents Submarine B's position, in feet, relative to the surface. Which
submarine is closer to the surface?
a) Submarine A is closer to the surface.
b) Submarine B is closer to the surface.
c) Both submarines are at an equal distance away from the surface.
13. Which of these situations is NOT represented by |−53|?
a)
b)
c)
d)
Max saved $53.
A book was 53 pages longer than you expected.
Julia drove for 53 minutes.
The temperature dropped to - 53°F.
14. A math teacher asked students to create a set of rational numbers that did NOT include integers. One
student created a set of numbers below.
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{-1.8, - 6, 0, 4.2, 2}
Each number in the student’s set is correct EXCEPT—
a) -1.8
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b) - 6
c) 0
d) 4.2