Adding with the Base Ten System
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The document discusses adding numbers using the base ten system. It explains that all numbers are made up of the same 10 digits and that place value determines the value of each digit. When adding numbers, we line up the digits by place value with ones under ones and tens under tens. This is similar to how we would arrange base ten blocks, grouping ones blocks together and tens blocks together before adding. Whether using blocks or the standard written algorithm, adding follows the same place value steps of adding ones first before tens. Practice problems are provided to apply these addition strategies.
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Adding with the Base Ten System
- 1. Adding with the Base Ten System http://www.vectorstock.com/royalty-free-vector/rainbow-background-vector-580934
- 3. Can you think of a number that doesn't use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 in it?
- 4. EVERY number is made up of the same 10 digits http://www.vectorstock.com/royalty-free-vector/set-of-cartoon-number-vector-472670
- 5. 643 is bigger than 43 because it has more digits in the number 643 43 643 43
- 6. We can break the number up by each digit's value, called Place Value http://www.coolmath.com/prealgebra/02-decimals/01-decimals-place-value-01.htm
- 7. Every number is broken down into places: The more digits a number has, the bigger the number is. http://www.coolmath.com/prealgebra/02-decimals/01-decimals-place-value-01.htm
- 8. When we add numbers we need to line up them by place value. Becomes.... The tens are lined up with the tens The ones are lined up with the ones http://www.coolmath4kids.com/addition/05-addition-lesson-two-digit-numbers-01.html
- 9. Sometimes, before we add, it helps to think of our base ten blocks. http://www.innovativeed.com/baseten.htm How can you make 28 with base ten blocks? How can you make 39 with base ten blocks?
- 10. +
- 11. + First combine all of the similar sized manipulatives (ones with ones, tens and tens, etc)
- 12. ALWAYS start with the ONES cubes and work your way up to the tens, hundreds, thousands, etc.
- 13. 17 ones becomes one 10 and 7 ones =
- 14. 5 tens is 50
- 15. So then we ADD our 5 tens and our one 10 and seven 1s +
- 16. It becomes 6 tens and 7 ones, which is the same as 67
- 17. How can we add two double-digit numbers without math blocks?
- 18. The first thing you want to do is line up your digits, ones on top of ones, tens on top of tens, etc. http://www.coolmath4kids.com/addition/05-addition-lesson-two-digit-numbers-01.html
- 19. Once the numbers are lined up, you start with adding the ones , just like before. http://www.coolmath4kids.com/addition/05-addition-lesson-two-digit-numbers-01.html
- 21. Then we add our tens digits together and we get...... The same answer as before! http://www.coolmath4kids.com/addition/05-addition-lesson-two-digit-numbers-01.html
- 22. Now let's practice adding double-digit numbers using both ways!