1. Use the Venn diagram to determine the smallest region in which to place A when A = 0.127.
A. Integers
B. Rational numbers
C. Whole numbers
2. Determine whether − 34 belongs to each set: Whole Numbers, Integers, and Rational Numbers.
3. Insert<,>, or = between the pair of numbers | − 13| ▪ |19| to make a true statement.
4. Which list shows the values in order from least to greatest?
A. | − 32|, |0.74|, | − 10|
B. | − 10|, |0.74|, | − 32|
C. | − 32|, | − 10|, |0.74|
D. |0.74|, | − 32|, | − 10|
E. |0.74|, | − 10|, | − 32|
F. | − 10|, | − 32|, |0.74|
5. A worker in a silver mine descends 57 feet. Use an integer to represent the change in the worker's position.
6. In a recent year, the number of DVDs shipped to an online retailer was 70,000 less than the previous year. Use an integer to describe the change in the number of DVDs shipped.
7. 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.
8.
a. Writing Use the Venn diagram to determine the smallest region in which to place A in when A = 45 + 10.
b. Explain why all integers are rational numbers, but not all rational numbers are integers.
9. Think About the Process Determine whether the given number belongs to each set: Whole Numbers, Integers, and Rational Numbers.
a. 3 + 8
b. Explain how you can determine whether a sum of two numbers is a rational number without doing any calculations.
10. Error Analysis Your friend classified −25 − 20 as an integer only.
a. Determine whether −25 − 20 belongs to each set: Whole Numbers, Integers, and Rational Numbers.
b. What error did your friend make?
A. Your friend did not classify −25 − 20 as a rational number.
B. Your friend incorrectly classified −25 − 20 as an integer.
C. Your friend did not classify −25 − 20 as a whole number.
11.
a. Reasoning Insert<,>, or = between the pair of numbers |3.22| ▪ | − 3.22| to make a true statement.
b. What must be true about two numbers that have the same absolute value?