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Today we will represent mixed numbers on a number line. ✓ identify- locate; find ✓ represent- draw and label ✓ fraction - represents part of a whole or part of set; top number is the numerator, bottom number is the denominator. ✓ Mixed Number-has a part that is a whole number and a part that is a fraction. Concept When will I EVER do this? How much of my Hershey Bar would you like? 2 4 20 40 0 5 8 40 40 1 8 5 40 3 5 24 40 20 24 40 40 2 10 8 40 1 fraction a number that shows part of a whole or part of a set 3 4 = Part of a whole The denominator, the number on the bottom, gives the total number of parts. The numerator, the number on the top, gives the number of parts being used. Three out of a total of four squares are blue. Three fourths of the box is blue. APK fraction 3 4 Part of a set Three out of four boxes are blue. APK fraction 10 20 100 10 Twenty out of 100 boxes are blue. APK fraction 1 5 One out of five pie pieces are blue . APK Mixed Number • A mixed number has a part that is a whole number and a part that is a fraction. 3 = 1 4 What is the mixed number? 3 = 3 4 What is the mixed number? 3 = 4 4 What is the mixed number? 1 = 5 2 number line a picture of a straight line on which every point corresponds to a real number and every real number to a point. -3 -2 -1 0 1 2 3 APK Why is it important that we can represent mixed numbers on a number line? Being able to represent mixed numbers on a number line helps visualize, or see, the answer to a problem. Number lines help us compare and order numbers. What are other reasons why it is important we can identify fractions on a number line? IMP Representing mixed numbers on a number line. Step 1: Look at the number line Step 2: Look at the mixed number you are going to represent (place) on the number line. Step 3: If necessary, label all the points on the number line Step 4: Place the point on the number line. Represent point A at 1 ¼ . A . Identifying mixed numbers on a number line. Step 1: Step 2: Step 3: Step 4: Look at the number line Look where on the number line the point is located If necessary, label all the points on the number line Write the place where the point is located Represent point X at 2 ¼ . X . Identifying mixed numbers on a number line. Step 1: Step 2: Step 3: Step 4: Look at the number line Look where on the number line the point is located If necessary, label all the points on the number line Write the place where the point is located Represent point B at 2 ¾ . B . Let’s review what we learned about representing mixed numbers on a number line. What is a number line? How do you locate a point on a number line? A picture of a line where each point represents a real number and each number a point. Determine the value of each segment and then count the number of segments being used.