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Practice 2.1 Introduction to the Integers Name ____________________________________
1. Graph the numbers on the number line below.
5 4 3 2 1 0 1 2 3 4 5
a. 5 b. −2 c. −4 d. 1
2. Write a positive or negative integer that describes each situation.
a. 65 feet below sea level _________ b. Gain of 8 yards _________
c. Deposit of $500 _________ d. Net loss of $15,000 _________
3. Use < or > to make a true statement.
a. −5 −3 b. 2 −4 c. −6 −9
4. Tell whether each statement is true or false.
a. −3 ≥ 0 _________ b. −8 ≤ −4 _________ c. 5 ≥ 5 _________
5. Find each absolute value.
a. ∣−19∣ = b. ∣7∣ = c. ∣0∣ =
6. What is the opposite of 5? _______ What is the opposite of −9 ? _______
7. Simplify each expression.
a. −∣2 ∣ = b. −(−5) = c. −∣−12∣ =
8. Explain why −8 is less than −3 .
9. Which number is closer to −7 on the number line, 2 or −12 ? _______