270 likes | 475 Views
Good Afternoon!. Let's get started learning about COMPARING AND ORDERING DECIMALS. 3.1. Choose the letter of the point that corresponds to each decimal. 2.6. 2.2. 3.3. C. B. D. A. 2.5. 2.0. 3.0. 3.5. Do you know these symbols? > and <.
E N D
Good Afternoon! Let's get started learning about COMPARING AND ORDERING DECIMALS 3.1 Choose the letter of the point that corresponds to each decimal. 2.6 2.2 3.3 C B D A 2.5 2.0 3.0 3.5 Do you know these symbols? > and <
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.
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
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.
In this case, they differ in the tenths place. 36.8 36.4 So we compare the digits in the tenths place. Since 8 is greater than 4............. 36.8 is greater than 36.4
We will use these symbols to compare > greater than < less than = equals 36.8 > 36.4 Remember that the symbols > and < always point to the lesser number.
We can also plot these decimals on a number line. . . 37.0 36.6 36.8 36.2 36.4 36.0 We can see that 36.8 > 36.4
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.
Starting with the tenths place and working from left to right, we find the first place that the digits differ. 6.83 6.77 Once again they differ in the tenths place. Since 8 > 7, then 6.83 > 6.77
Let's compare 0.395 and 0.368 What are my steps???? Answer
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
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
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
When we "ORDER" decimals, we write them in order from least to greatest or from greatest to least!
Let's order 15.98 16.23 16.2 15.5 from least to greatest. First let's separate them based on the whole number. 15.98 15.5 16.23 16.2 (We know that 15 < 16.)
16.23 16.2 15.98 15.5 Then line up the decimals and add the place holding zeros. 15.98 15.50 16.23 16.20 Look at the hundredths place. 0 < 3 so Look at the tenths place. 5 < 9 so < 15.5 < 15.98 16.2 < 16.23
< 16.2 < 16.23 15.5 < 15.98 Now our decimals are in order from least to greatest.
Let's practice! Use >, <, or = to compare each pair of decimals 4.14 4.41 0.32 0.302 5.4 6.108 6.018 5.45 2.6453 15.19 2.6543 16.17
Order these from least to greatest. 6.2 6.1 6.11 6.01 6.111
GAME http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-kite.html
1. Write 5 numbers that are between 0.6 and 0.666 Order them from least to greatest.
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? $2.40 $2.05 $2.20 $2.02 $2.32
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
6.) Order from least to greatest. 7.1 7.01 7.11 7.101 7.) Plot and label the decimal 1.5 1 2 8.) Write a decimal smaller than 0.06
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
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!