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Math 5 Comparing and ordering Decimals part 1 Instructor: Mrs. Tew Turner

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In this lesson we will learn how to compare decimals that are written to the same place value.

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Math Warm-up 3616 2228 In your Math Notebook Add across Add down Add your results across and down. Put these answers in the triangles = = == What do you notice about your results? Try to use mental math.

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Math Warm-up 3616 2228 In your Math Notebook = = == What do you notice about your results? I noticed that the answers were the same. 58 44 52 50 102

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Vocabulary greater than – bigger, > less than – smaller, < equal to – same, =

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Vocabulary compare – to see if something is the same or different ordering – to put numbers in order based on size

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In this lesson we will answer these questions: How can you compare decimals? How can you order decimals?

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How can you compare decimals? Let’s compare the decimals 5.785 and 5.782. Step 1 Line up the decimal points. 5.785 5.782

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How can you compare decimals? Let’s compare the decimals 5.785 and 5.782. Step 2 Compare digits of the same place value, starting at the left. 5.785 5.782

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How can you compare decimals? Let’s compare the decimals 5.785 and 5.782. Step 3 Keep comparing digits as you move to the right until you find digits that are different. 5.785 5.782

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How can you compare decimals? Let’s compare the decimals 5.785 and 5.782. Step 4 Compare. 5.785 5.782 Which is bigger?

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How can you compare decimals? 5.785 5.782 Which is bigger? 5.785 is bigger than 5.782 In math we say, “5.785 is greater than 5.782.” We write 5.785 > 5.782

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Let’s compare the decimals 2.831 and 2.836. Step 1

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Let’s compare the decimals 2.831 and 2.836. Step 1 Line up the decimal points. 2.831 2.836

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Let’s compare the decimals 2.831 and 2.836. Step 2 2.831 2.836

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Let’s compare the decimals 2.831 and 2.836. Step 2 Compare digits of the same place value, starting at the left. 2.831 2.836

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Let’s compare the decimals 2.831 and 2.836. Step 3

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Let’s compare the decimals 2.831 and 2.836. Step 3 Keep comparing digits as you move to the right until you find digits that are different. 2.831 2.836

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How can you compare decimals? Let’s compare the decimals 5.785 and 5.782. Step 4 Compare. 5.785 5.782 Which is smaller?

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When you see a problem asking you to compare decimals it will look like this: 1.03 1.23 You will have to put in the >,<, or = sign

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1.03 1.23 You will have to put in the >,<, or = sign 1.03 1.23 Which is bigger?

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1.03 < 1.23 You will have to put in the >,<,= sign 1.03 1.23 Which is bigger? 1.23 is bigger, so the symbol will open toward that number.

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Try these in your Math Notebook 7.924 7.927 3.821 3.801 5.452 5.428 2.160 2.016

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Try these in your Math Notebook 7.924 < 7.927 3.821 > 3.801 5.452 > 5.428 2.160 >2.016

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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.

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Order the following numbers from least to greatest: 2.812, 2.809, 2.730 Step 1: Line up the decimal points 2.812 2.809 2.730 2.741

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Order the following numbers from least to greatest: 2.812, 2.809, 2.730 Step 2: Compare digits of the same place value beginning at the left. 2.812 2.730 2.809

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Order the following numbers from least to greatest: 2.812, 2.809, 2.730 Step 2: Compare digits of the same place value beginning at the left. 2.812 2.730 this number is the least 2.809

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Order the following numbers from least to greatest: 2.812, 2.809, 2.730 Step 3: Continue to compare digits of the same place value beginning at the left. 2.812 2.730 2.809this number is the least

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Order the following numbers from least to greatest: 2.812, 2.809, 2.730 Step 4: Write the numbers from least to greatest. 2.730, 2.809, 2.812

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 1:

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 1: Line up the decimal points. 5.312 5.132 5.123

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 2:

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 2: Compare digits of the same place value beginning at the left. 5.312 5.132 5.123

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 2: Compare digits of the same place value beginning at the left. 5.312 this number is the greatest 5.132 5.123

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 3: 5.312 5.132 5.123

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 3: Continue to compare digits of the same place value beginning at the left. 5.312 5.132 this number is the greatest 5.123

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 4: 5.312 5.132 this number is the greatest 5.123

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Order the following numbers from greatest to least: 5.312, 5.132, 5.123 Step 4: Write the numbers from least to greatest. 5.312, 5.132, 5.123

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Try these in your Math Notebook Order from greatest to least 1.62.905, 62.833, 62.950, 62.383 2.5.540, 5.631, 5.625, 5.739 Order from least to greatest 3.8.452, 8.423, 9.312, 9.534 4.0.675, 1.529, 1.350, 0.639

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Try these in your Math Notebook Order from greatest to least 1.62.905, 62.833, 62.950, 62.383 62.950, 62.905, 62.833, 62.383 2. 5.540, 5.631, 5.625, 5.739 5.739, 5.631, 5.625, 5.540 Order from least to greatest 3.8.452, 8.423, 9.312, 9.534 8.423, 8.452, 9.312, 9.534 4.0.675, 1.529, 1.350, 0.639 0.639, 0.675, 1.350, 1.529

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Quick Check 1.Why do you need to line up the decimal points before comparing and ordering numbers with decimals? Write, or = for each 2.1.605 1.635 3. 9.462 9.062 In your Math Notebook

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Quick Check Order from greatest to least 4. 62.905, 62.833, 62.950, 62.383 5. 5.540, 5.631, 5.625, 5.739 Order from least to greatest 6. 8.452, 8.423, 9.312, 9.534 7. 0.675, 1.529, 1.350, 0.639

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Quick Check 1.Why do you need to line up the decimal points before comparing and ordering numbers with decimals? Write, or = for each 2.1.605 < 1.635 3. 9.462 > 9.062 In your Math Notebook

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Quick Check Order from greatest to least 4. 62.905, 62.833, 62.950, 62.383 62.950, 62.905, 62.833, 62.383 5. 5.540, 5.631, 5.625, 5.739 5.739, 5.631, 5.625, 5.540 Order from least to greatest 6. 8.452, 8.423, 9.312, 9.534 8.423, 8.452, 9.312, 9.534 7. 0.675, 1.529, 1.350, 0.639 0.639, 0.675, 1.350, 1.529

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Today you learned how to compare and order decimals written to the same place value. Good Work with this lesson.

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