Math 5 Comparing and Ordering Decimals part 2 Instructor: Mrs. Tew Turner

In this lesson we will learn how to compare decimals that are written to different place values.

Math Warm-up = = = = In your Math Notebook Use the boxes below. Put in your own numbers. Use the same directions as before. Try to use mental math. = = = = What do you notice about your results?

Math Warm-up What do you notice about your results? Why do you think that the answers were the same? Talk to a partner to answer this question. What do you notice about your results? I noticed that the answers were the same.

In the last lesson you learned how compare and order decimals that are written to the same place value. In this lesson we will answer these questions: How can you compare decimals if they are written to different place values? How can you order decimals that are written to different place values?

How can you compare decimals that are written to different place values? Let’s compare the decimals 6.8 and 6.804. Step 1 Line up the decimal points. 6.8 6.804

How can you compare decimals that are written to different place values? Let’s compare the decimals 6.8 and 6.804. Step 2 Add zeros to the end of the number that has fewer decimal places until it is even with the other number. 6.800 6.804

How can you compare decimals? Let’s compare the decimals 6.8 and 6.804. Step 3 Compare digits of the same place value, starting at the left. 6.800 6.804

How can you compare decimals? Let’s compare the decimals 6.8 and 6.804. Step 4 Keep comparing digits as you move to the right until you find digits that are different. 6.800 6.804

How can you compare decimals? Let’s compare the decimals 6.8 and 6.804. Step 5 Compare. 6.800 6.804 Which is bigger?

How can you compare decimals? 6.800 6.804 Which is bigger? 6.804 is bigger than 6.800 In math we say, “6.804 is greater than 6.800.” We write 6.804 > 6.800

Remember in the last lesson you learned that when you see a problem asking you to compare decimals it will look like this: You will have to put in the >,<, or = sign 27.2 27.02

27.2 27.02 You will have to put in the >,<, or = sign 27.2 27.02 Which is greater?

27.2 > 27.02 You will have to put in the >,<,= sign 27.20 27.02 Which is greater? 27.20 is greater, so the symbol will open toward it.

Try these in your Math Notebook 6.34 6.304 0.102 0.51 1.2 1.143 5.92 5.920

Try these in your Math Notebook 6.34 > 6.304 0.102 < 0.51 1.2 > 1.143 5.92 = 5.920

In the last lesson you learned that ordering decimals is very similar to comparing decimals. It is when you put three or more decimals in order from greatest (biggest) to least (smallest) or least to greatest.

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Make sure to pay attention to what the problem is asking you to do. This one is asking you to put the numbers in order from the smallest to the largest.

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Step 1: Line up the decimal points 1.506 1.56 0.8

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Step 2: Add zeros to the end of the numbers until they all end in the same place value. 1.506 1.560 0.800

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Step 3: Compare digits of the same place value beginning at the left. 1.506 1.560 0.800

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Step 3: Compare digits of the same place value beginning at the left. 1.506 1.560 0.800 this is the least

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Step 4: Continue to compare digits of the same place value beginning at the left. 1.506 this is least 1.560 0.800

Order the following numbers from least to greatest: 1.506, 1.56, 0.8 Step 5: Write the numbers from least to greatest. 0.8, 1.506, 1.56

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 1:

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 1: Line up the decimal points. 0.402 0.42 0.375 1.2

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 2: 0.402 0.42 0.375 1.2

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 2:Add zeros to the end of the numbers until they all end in the same place value. 0.402 0.420 0.375 1.200

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 3: 0.402 0.420 0.375 1.200

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 3: Compare digits of the same place value beginning at the left. 0.402 0.420 0.375 1.200 this is the greatest

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 4: 0.402 0.420 0.375 1.200

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 4: Continue to compare digits of the same place value beginning at the left. 0.402 0.420 this is the greatest 0.375 1.200

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 4: Continue to compare digits of the same place value beginning at the left. 0.402 0.420 this is the greatest 0.375 this is the least 1.200

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 5:

Order the following numbers from greatest to least: 0.402, 0.42, 0.375, 1.2 Step 5: 1.2, 0.42, 0.402, 0.375

Try this in your Math Notebook Order from least to greatest 6.01 0, 0.601, 6 .1 Order from greatest to least 4.09, 3.9, 3.09, 4.19

Try this in your Math Notebook Order from greatest to least 6.01 0, 0.601, 6 .1 6.1, 6.010, 0.601 Order from least to greatest 4.09, 3.9, 3.09, 4.19 3.09, 3.9, 4.09, 4.19

Decimal Ordering Game http:// Picture hyperlinked to website

Quick Check In your Math Notebook Why can you add zeros to help you compare decimals that end in different place values? Write <, >, or = for each 0.890 0.89 1.403 1.4

Order from greatest to least Quick Check Order from greatest to least 4. 8.541, 8.314, 8.598, 8.8 5. There are five types of grains of sand: course, very course, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters. Which number is less than 0.125? A. 0.5 B. 0.2 C. 0.13 D. 0.12

Quick Check In your Math Notebook Why can you add zeros to help you compare decimals that end in different place values? Write <, >, or = for each 0.890 = 0.89 1.403 > 1.4

Order from greatest to least Quick Check Order from greatest to least 4. 8.541, 8.314, 8.598, 8.8 8.8, 8.598, 8.541, 8.314 5. There are five types of grains of sand: course, very course, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters. Which number is less than 0.125? A. 0.5 B. 0.2 C. 0.13 D. 0.12

Good Work with this lesson. Today you learned how to compare and order decimals written to different place values.