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Good Afternoon!. Today we will look at Comparing, Ordering and Estimating whole numbers. 1.) Write this number in standard form. 40,000 + 200 + 30. Answer:40,230. 2.) What number is missing in this number pattern? 1, 12, 24, 36,. ,60, 72,. Answer:48. 3.) 24 - 5 + 8 - 4 =.
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Good Afternoon! Today we will look at Comparing, Ordering and Estimating whole numbers. 1.) Write this number in standard form. 40,000 + 200 + 30 Answer:40,230 2.) What number is missing in this number pattern? 1, 12, 24, 36, ,60, 72, Answer:48 3.) 24 - 5 + 8 - 4 = Answer:23 CONFIDENTIAL
Let's review what we learned in the last lesson Here is the place value chart to the billion place . Hundred Millions Ten millions Hundred Thousands Ten Thousands Tens Ones Millions Thousands Hundreds Billions , , , Notice the commas separating every three digit . CONFIDENTIAL
* We can write numbers in three forms: Standard form:358 Word form:three hundred fifty-eight Expanded form:300 + 50 + 8 CONFIDENTIAL
How can we COMPAREwhole numbers??? Let's take 2 numbers and decide which one is larger. a.)1,234,789 b.)1,243,180 We are going to compare these numbers using PLACE VALUE. CONFIDENTIAL
1,234,789 1,243,180 We begin at the left and compare each of the digits If the digits are the same, they have the same value. (in this case... 1,000,000) So we move to the next digit. CONFIDENTIAL
1,234,789 1,243,180 Next, we compare the second digits and they, too, are the same. What is the value of the "2" in each whole number? So, we must continue to the third digit. CONFIDENTIAL
1,234,789 1,243,180 This is the FIRST place where the digits are different. What is the value of the "3" in the top number? What is the value of the "4" in the bottom number? Which value is larger? CONFIDENTIAL
Here is the correct answer ! Since 40,000 is greater than 30,000 is greater than 1,243,180 1,234,789 We don't need to check any further. CONFIDENTIAL
You try one. Which number is larger? or b) 45,987,213 a) 45,987,123 Answer: b) 45,987,213 is larger. CONFIDENTIAL
Many times there are more than 2 numbers that we want to compare. We can "ORDER" the numbers by placing them in an order from least to greatest OR greatest to least CONFIDENTIAL
Let's ORDER the following numbers from leasttogreatest. 34,765 c.) 34,675 a.) b.) 34,756 We must first COMPARE two at a time. a.) 34,765 34,756 c.) 34,675 b.) This is the first place where the digits are different. Since 700 is greater than 600, we know that 34,756 is greater than 34,675. CONFIDENTIAL
a.) 34,756 34,765 c.) 34,675 b.) 34,756 a.) Now, let's compare the greater number with the third number. This is the first place where the digits are different. Since 60 is greater than 50, we know that 34,765is evenGREATER than 34,756 c.) a.) CONFIDENTIAL
I can now ORDER the following numbers from least to greatest. c.) 34,765 34,675 b.) a.) 34,756 These are the numbers ordered from least to greatest. c.) a.) 34,675 34,756 34,765 b.) CONFIDENTIAL
We can also ORDERthe following numbers from least to greatest on a Number Line. 34,675 34,756 34,765 b.) a.) c.) . . . c b a 34,750 34,800 34,700 34,600 34,650 What would this number be? What would this number be? CONFIDENTIAL
Can you order these numbers from least togreatest? a.)12,345,678 b.)12,312,145 c.)12,401,587 Answer: The order from least to greatest is b) 12,312,145 a) 12,345,678 c) 12,401,578 CONFIDENTIAL
When we ESTIMATE, we find a number that is close to the exact number. For example, the number 315,789 is between 315,000 and 316,000. It is closer, however, to 316,000 so we could estimate the number by using 316,000. What number could you use to ESTIMATE 1,507,213? Answer: 1,507,000. CONFIDENTIAL
Great Job! Let's take a break. CONFIDENTIAL
Game http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/03-27-07-easterducks.html CONFIDENTIAL
1.) Sarah and her friends went to pick apples. They filled 12 baskets of apples. Each basket held about 8 apples. ABOUT how many apples did Sarah and her friends pick? Answer: 12*8= 96 apples CONFIDENTIAL
2.) The new football stadium was just completed and has 32,784 seats. The first game is in September and the school sold 32,097 tickets. Will there be enough seats for all of the ticket holders? Answer: 32,784 is greater than 32,097. So, there will be enough space for all ticket holders. 3.) The school purchased 40 new desks at a $2,143.00.ABOUT how much did each desk cost? Answer: $2143.00 * 40= $8572.00. CONFIDENTIAL
Assessment Be sure to read the directions carefully! 1.) Which number is smaller? a)67,987,204 or b) 67,987,042 Answer: b) 67,987,042 is smaller than a)67,987,204. 2.) Order these numbers from greatest to least. a)356,123 b)356,321 c)362,006 Answer: c)362,006 b)356,321 a)356,123 3.) What does the word "estimate" mean? Answer: When we ESTIMATE, we find a number that is close to the exact number CONFIDENTIAL
4.) How would you estimate the number 19,198? Answer: We can ESTIMATE, the number 19,198 by the number 19,000. 5.) Could there be another answer to question #4? CONFIDENTIAL
Order these numbers from least to greatest and plot them on the number line. 146,710 146,770 b.) c.) 146,701 a.) 146,701 146,800 146,710 146,770 146,700 Add some more numbers to the line. CONFIDENTIAL
Let's review what we learned today. * We compare numbers using PLACE VALUE. * We compare two numbers and start from left to right. It is necessary to find the FIRST place where the digits are different. 3,567 3,576 If we assign values to these digits, we see that 60 is less than 70 so 3,567 is less than 3,576 CONFIDENTIAL
* Many times there are more than 2 numbers that we want to compare. We can "ORDER" the numbers by placing them in an order from least to greatest Or greatest to least We must first COMPARE two at a time. * CONFIDENTIAL
When we ESTIMATE, we find a number that is close to the exact number. * Be careful when reading the directions! Are they asking for the smallest or the biggest? Are they asking you to ORDER the numbers from least to greatest or greatest to least? * CONFIDENTIAL
Congratulations. You did a wonderful job today! CONFIDENTIAL