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Good Afternoon!. Our lesson today will cover The Addition Properties AND Adding multi-digit numbers. Let's warm up. Write < , > , or =. 1.) 12-4. 11-5. 2.) 6+7. 8+5. 3.) 9+6. 21-4. 4.) 18-11. 5+3. Let's review. We can use PLACE VALUE to ROUND.
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Good Afternoon! Our lesson today will cover The Addition Properties AND Adding multi-digit numbers Let's warm up.... Write < , > , or = 1.) 12-4 11-5 2.) 6+7 8+5 3.) 9+6 21-4 4.) 18-11 5+3 CONFIDENTIAL
Let's review We can use PLACE VALUE to ROUND. Let's round 2,345to the nearest thousands place. First, we need to underline the thousands place. 2,345 CONFIDENTIAL
2,345 Second, we need to look at the digit just to the right of the underlined digit. * If that digit is 5 ormore, we increase the underlined digit by 1. * If that digit is 4or less, we do not change the underlined digit. CONFIDENTIAL
2,345 Since this digit is 4 or less, we leave the 2alone. Finally, we changeall the digits to the right of the underlined digit to 0. 2,345 rounds to 2000 CONFIDENTIAL
SET of data 52, 45, 48, , 69, 74 The middle number is called the MEDIAN CONFIDENTIAL
ADDITION OF MULTI-DIGIT NUMBERS There are several properties of addition COMMUTATIVE PROPERTY: We can change the order and the sum stays the same. EXAMPLE: 4 + 6 = 10 6 + 4 = 10 ASSOCIATIVE PROPERTY: We can change the grouping and the sum stays the same. EXAMPLE: 2 + (3+ 8) = 10 (2 + 3)+ 8= 10 IDENTITY PROPERTY: We can add zero and the sum stays the same. EXAMPLE: 7 + 0 = 7 CONFIDENTIAL
Complete each problem using the COMMUTATIVE PROPERTY. "Change the Order" 36 + 98 = + + 0 + 76 = CONFIDENTIAL
Complete each problem using the ASSOCIATIVE PROPERTY. "Re-group" 20 + (4 + 6) = ( + ) + (8 + 7) + 5 = ) ( + + CONFIDENTIAL
Complete each problem using the IDENTITY PROPERTY. "Keep the same number" 15 + 0 = + 34 = 34 CONFIDENTIAL
We add numbers together by first LINING UP THE DIGITS 4,321 2,634 + The ones are lined up The thousands are lined up. The tens are lined up. The hundreds are lined up. CONFIDENTIAL
Then we need to determine if we must REGROUP 7+5=12 so we must REGROUP 12 ones as 1 ten and 2 ones 1 197 + 35 2 CONFIDENTIAL
We continue to REGROUP 1 1 197 + 35 2 3 1+9+3=13 so we must REGROUP 13 tens as 1 hundred and 3tens CONFIDENTIAL
Finally, we add the hundreds. This is how we add multi-digit numbers by REGROUPING. 1 1 197 + 35 1+1=2 2 2 3 CONFIDENTIAL
Here are some problems for you to try.... 467 + 84 6,725 + 5,932 4,832 + 168 CONFIDENTIAL
1.) Jacob read 256 pages the first week, 367 pages the second week, and 184pages the third week. How many pages did he read over the 3 weeks? CONFIDENTIAL
2.) 1,2,3,4,5,6 + Use the numbers above one time only to make thelargest sumpossible. CONFIDENTIAL
3.) What is wrong with this problem? 6,789 + 2,935 9, 2 6 4 CONFIDENTIAL
Assessment 1.) Use the COMMUTATIVE Property of Addition to complete this problem 37 + 84 = + 2.) Do you think I can use the COMMUTATIVE Property of Addition with three numbers? + 4 + 5 + 8 = + CONFIDENTIAL
3.) Use the ASSOCIATIVE Property of Addition to complete this problem. Be sure to include the parentheses! 25 + (5 + 9) = 4.) Do you think it is easier to add the left side of the equation or the right side? Why? CONFIDENTIAL
5.) Use the IDENTITY Property of Addition to complete the problem. 4,732 + = CONFIDENTIAL
Find the sum: 6) 7) 13,563 45,258 + 4,709 + 787 8) 7,064 + 9,673 CONFIDENTIAL
Very Good! Let's Review There are several properties of addition COMMUTATIVE PROPERTY: We can change the order and the sum stays the same. EXAMPLE: 4 + 6 = 10 6 + 4 = 10 ASSOCIATIVE PROPERTY: We can change the groupingand the sum stays the same. EXAMPLE: 2 + (3+ 8) = 10 (2 + 3)+ 8= 10 IDENTITY PROPERTY: We can add zero and the sum stays the same. EXAMPLE: 7 + 0 = 7 CONFIDENTIAL
We add numbers together by first LINING UP THE DIGITS Then we need to determine if we must REGROUP 7+5=12 so we must REGROUP 12 ones as 1 ten and 2 ones 1 197 + 35 This is how we regroup. 2 CONFIDENTIAL
You did a wonderful job today! See you in the next session. CONFIDENTIAL