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What is Addition?

What is Addition?. Addition is just a final count of numbers or items. Also called the “ sum. ”. Let ’ s add large numbers. 12 and 34 Line up numbers 12 + 34.

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What is Addition?

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  1. What is Addition? • Addition is just a final count of numbers or items. • Also called the “sum.”

  2. Let’s add large numbers. 12 and 34 Line up numbers 12 + 34 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.)

  3. Let’s add large numbers. 12 and 34 Line up numbers 12 + 34 6 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.) Then add the numbers that are on top of each other like you normally would add numbers.

  4. Let’s add large numbers. 12 and 34 Line up numbers 12 + 34 6 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.) Then add the numbers that are on top of each other like you normally would add numbers.

  5. Let’s add large numbers. 12 and 34 Line up numbers 12 + 34 46 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.) And do the same for the other column of numbers.

  6. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9

  7. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 0 Since 9+1=10, we will write the last digit of 10 (the zero) and “carry” the one above the 3 to the left to add it.

  8. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 0 1 Since 9+1=10, we will write the last digit of 10 (the zero) and “carry” the one above the 3 to the left to add it.

  9. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 0 1 Now we will add the 3 and 5, and also the 1 since it was carried over.

  10. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 9 0 1 Now we will add the 3 and 5, and also the 1 since it was carried over. 5+3+1=9 We do NOT need to carry here.

  11. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 9 0 1 Now we will add the 2 and 4 that in the far left column.

  12. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 6 9 0 1 Now we will add the 2 and 4 that in the far left column. 2+4=6

  13. With some practice, you will be able to successfully add positive whole numbers! This will be useful in all aspects of this class AND in your everyday life. Let’s look at a real-world example...

  14. You graduated from Broward College!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts?

  15. You will simply need to ADD all of those numbers up to get the total. 5 0 1 2 9 7 8 + 2 3 0

  16. Keep in mind to line up the places, add each column, and carry if the number has more than one digit! 0+9+8+3=20 2 5 0 1 2 9 7 8 + 2 3 0

  17. Keep in mind to line up the places, add each column, and carry if the number has more than one digit! 2+5+2+7+2=18 2 5 0 1 2 9 7 8 + 2 3 8 0 1

  18. Keep in mind to line up the places, add each column, and carry if the number has more than one digit! 1+1=2 2 5 0 1 2 9 7 8 + 2 3 2 8 0 1

  19. 2 5 0 1 2 9 7 8 + 2 3 2 8 0 1 You got $280 in gifts! Congratulations!!!

  20. Other things, you need to know… • Associative Property of Addition • When: (a + b) + c = a + (b + c) • Commutative Property of Addition • When: a + b= b + a • Zero Property of Addition • When: a + 0= a

  21. We used the round to the nearest 10 and adjust strategy, for addition of 2 and 3 digit numbers Other ways to perform additions How can we mentally calculate 23 + 29?

  22. What about a blank number line How do we mentally calculate 23 + 29? 23 +29 is the same as 23+30-1 SO… +30 52 53 23 -1 =23 + 30 – 1 =53 – 1 =52

  23. 50 + 4 + 30 + 8 80 +12 = 92 “Joining up our thinking” Mapping the partitioning strategy to our jottings. 54 + 38 54 + 38 50 + 30 +4 +8 50 + 30 +4 +8 54 + 38 80 12 80 10 2 92 Partitioning: What is happening in our mind when we use this jotting? Partitioning: What is happening in our mind when we use this jotting?

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