1. Bell Work Tuesday, April 1, 2014

2. Number Systems “Natural Numbers” (a.k.a. “Counting Numbers”) are numbers used to count things that occur in nature. Example: 1, 2, 3, 4, … “Whole Numbers” are natural numbers and 0. Example: 0, 1, 2, 3,... “Integers” are whole numbers and their opposites.

3. 0 1 6.Name the set or sets that each of the numbers below belongs to. counting numbers integers– 3,, 2,, 0 and – 3.6 rational numbers 7.Copy the statements below and determine which is true and which is false. The set of rational numbers includes the set of integers. All counting numbers are rational numbers. A mixed number is a rational number. Zero is not a rational number. 8.What is the opposite of ? Explain why. 9.On the same winter morning, the temperature is -28° F in Anchorage, Alaska and 65° F in Miami, Florida. How many degrees warmer was it in Miami than in Anchorage on that morning? 10.Find and label the numbers,,, and on the number line.

4. 6.Name the set or sets that each of the numbers below belongs to. counting numbers integers– 3,, 2, and – 3.6 rational numbers integers rational numbers – 3 = rational numbers counting numbers integers rational numbers 2 = rational numbers integers

5. 7.Which statement(s) is true and which is false? The set of rational numbers includes the set of integers. All counting numbers are rational numbers. A mixed number is a rational number. Zero is not a rational number. True; -3 = -3/1 True; 3 = 3/1 True; 2 1/3 = 7/3 False; 0/4 = 0

6. 8.What is the opposite of ? Explain why. The opposite of ¾ is – ¾ because they both have the same absolute value, distance from zero.

7. 9.On the same winter morning, the temperature is -28° F in Anchorage, Alaska and 65° F in Miami, Florida. How many degrees warmer was it in Miami than in Anchorage on that morning? The temperature in Anchorage is 28 below zero and in Miami it is 65 above zero, so the difference in temperatures is 28+65=93 degrees.

8. 9.On the same winter morning, the temperature is -28° F in Anchorage, Alaska and 65° F in Miami, Florida. How many degrees warmer was it in Miami than in Anchorage on that morning? We can count from -28 up to 65. If Anchorage, Alaska was 28 degrees warmer than it is on this winter morning, the temperature would be zero degrees. If Anchorage, Alaska was 65 degrees warmer still, the temperature would be 65 degrees, the same temperature as Miami, Florida. In order for Anchorage, Alaska to be the same temperature as Miami, Florida, Anchorage would have to be 28+65=93 degrees warmer than it is. Thus, Miami, Florida is 93 degrees warmer than Anchorage, Alaska. 2865 Anchorage, Alaska Miami, Florida

9. 9.On the same winter morning, the temperature is -28° F in Anchorage, Alaska and 65° F in Miami, Florida. How many degrees warmer was it in Miami than in Anchorage on that morning? Because 65−(−28)=93, we know it is 93 degrees warmer in Miami, Florida than it is in Anchorage, Alaska.

10. 10. Find and label the numbers,,, and on the number line. 01