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CONFIDENTIAL1 Good Afternoon! Let's get started learning about COMPARING AND ORDERING DECIMALS Choose the letter of the point that corresponds to each decimal. A B C D 3.0 2.0 2.5 3.5 2.6 3.1 3.3 2.2 Do you know these symbols? > and <

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CONFIDENTIAL2 Let's review our last lesson........ We learned that we can write numbers in Standard Form ( ex. 45, 789.12) and in Word Form (ex. Forty-five thousand, seven hundred eighty-nine and twelve hundredths) We learned that the location of a digit in a number identifies the Place Value of that digit. In other words, each digit in a number has a PLACE and a VALUE.

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CONFIDENTIAL3 We learned that the decimal point separates the whole number from the decimal. We learned that the part of the number to the right of the decimal point is LESS THAN 1. Great! Let's move on to today's lesson

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CONFIDENTIAL4 When we compare decimals, we line up the decimal points. 36.8 36.4 Starting with the tenths place and working from left to right, we find the first place that the digits differ.

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CONFIDENTIAL5 36.8 36.4 In this case, they differ in the tenths place. So we compare the digits in the tenths place. Since 8 is greater than 4............. 36.8 is greater than 36.4

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CONFIDENTIAL6 We will use these symbols to compare > greater than < less than =equals Remember that the symbols > and < always point to the lesser number. 36.8 > 36.4

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CONFIDENTIAL7 We can also plot these decimals on a number line. 36.0 36.236.4 36.636.8 37.0.. We can see that 36.8 > 36.4

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CONFIDENTIAL8 Now, let's compare 6.83 and 6.77 First, we line up the decimal points. 6.83 6.77 Starting with the tenths place and working from left to right, we find the first place that the digits differ.

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CONFIDENTIAL9 6.83 6.77 Starting with the tenths place and working from left to right, we find the first place that the digits differ. Once again they differ in the tenths place. Since 8 > 7, then 6.83 > 6.77

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CONFIDENTIAL10 Let's compare 0.395 and 0.368 What are my steps???? Answer

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CONFIDENTIAL11 Let's compare 0.395 and 0.368 0.395 0.368 They differ in the hundredths place and since 9 > 6, then 0.395 > 0.368

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CONFIDENTIAL12 If the number of decimal places is not the same for the 2 numbers, we must add "place holding" zeros. For example, let's compare 6.134 and 6.13 We need to add a 0 to 6.130 so we can compare 6.134 6.130

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CONFIDENTIAL13 6.134 6.130 Starting with the tenths place and working from left to right, the first place that the digits differ is the thousandths place. Since 4 > 0, then 6.134 > 6.130

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CONFIDENTIAL14 When we "ORDER" decimals, we write them in order from least to greatest or from greatest to least!

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CONFIDENTIAL15 Let's order 15.98 16.2316.215.5 from least to greatest. First let's separate them based on the whole number. 15.9815.5 16.2316.2 (We know that 15 < 16.)

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CONFIDENTIAL16 15.9815.5 16.2316.2 Then line up the decimals and add the place holding zeros. 15.98 15.50 16.23 16.20 Look at the tenths place. 5 < 9 so 15.5 < 15.98 < Look at the hundredths place. 0 < 3 so 16.2 < 16.23

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CONFIDENTIAL17 15.5 < 15.98 16.2 < 16.23 < Now our decimals are in order from least to greatest.

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CONFIDENTIAL18 Let's practice! Use >, <, or = to compare each pair of decimals 4.41 4.14 0.32 0.302 5.45 5.4 6.108 6.018 2.6543 2.6453 16.17 15.19

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CONFIDENTIAL19 Order these from least to greatest. 6.26.16.116.016.111

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CONFIDENTIAL20 Let's take a BREAK!

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CONFIDENTIAL21 GAME http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw- puzzles/12-piece-jigsaw/03-28-06-kite.html

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CONFIDENTIAL22 1. Write 5 numbers that are between 0.6 and 0.666 Order them from least to greatest.

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CONFIDENTIAL23 2. Bob has more money than Sue. He has less money than Jill. Kelly has $.15 more money than Jack. How much does each person have? $2.20 $2.40 $2.32 $2.05 $2.02

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CONFIDENTIAL24 Assessment: 1.) > means 2.) Name a number between 5.17 and 6.04 3.) Which number is larger? 4.901 or 4.91 4.) In the decimal 67.421, which number is in the hundredths place? 5.) Which decimal is smaller? 0.03 or 0.3

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CONFIDENTIAL25 6.) Order from least to greatest. 7.17.017.117.101 7.) Plot and label the decimal 1.5 1 2 8.)Write a decimal smaller than 0.06

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CONFIDENTIAL26 You worked hard today! We learned that when we compare decimals, we line up the decimal points. Then starting with the tenths place and working from left to right, we find the first place that the digits differ. We will use these symbols to compare > greater than < less than =equals

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CONFIDENTIAL27 We can also plot decimals on a number line. If the number of decimal places is not the same for the 2 numbers, we must add "place holding" zeros. CONGRATULATIONS ON A GREAT JOB!

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What is the place value of the underlined digit? 1.5

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