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Add & Subtract Using the Standard Algorithm
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What you will learn from this videoWhat you will learn
- We'll learn how to add using the Standard Algorithm!
- We will also learn how to subtract using the standard algorithm.
- AND, we’ll see that this knowledge can help us decorate for parties, plan road trips and even go skiing!
- Discussion Questions
Before Video
What method or strategy would be the easiest to use to add 599 + 65?ANSWER"I used mental math because 599 is close to 600. 600 + 64 = 664."
400 + 50 + 6
Yes, you need to regroup, since 432 only has 2 ones. 129 has 9 ones.
Yes, 5 ones + 7 ones equals 12 ones or 1 tens and 2 ones.
567 = 500 + 67 and 345 = 300 + 45. The difference is 500 – 300 = 200 plus 67 – 45 = 22, which is greater than 200.
After Video
What are the steps to the standard algorithm for addition?ANSWER1) Stack the numbers vertically by place value.
2) Add together the numbers that share the same place value, beginning in the ones column.
3) Write the sum below each column.
4) If the sum in a column is greater than 9, regroup.
1) Stack the numbers vertically by place value with the first number on top.
2) Subtract the numbers that share the same place value, beginning in the ones column.
3) Write the difference below each column.
4) If the top number in a column is less than the bottom number, regroup before subtracting.
He is incorrect. He added 3 + 8 = 11 in the ones place and put a 1 in the ones column but forgot to regroup 10 ones to 1 ten in the tens place.
She is incorrect. She subtracted the smaller number from the bigger number in each column, not the bottom number from the top.
Yes, the standard algorithm can be used for any addition or subtraction problem.
- Vocabulary
- Addition DEFINE
Finding the sum of two or more numbers.
- Sum DEFINE
The result of addition.
- Subtraction DEFINE
Find the difference between two numbers.
- Difference DEFINE
The result of subtraction.
- Place value DEFINE
A system that gives a digit a value according to its position, or place, in a number. In our base-ten system for writing numbers, each place has a value 10 times that of the place to its right.
- Expanded form DEFINE
A way of writing a number as the sum of the values of each digit.
- Regrouping DEFINE
Exchanging 10 in one place-value position for 1 in the position to the left in order to carry out addition, or exchanging 1 for 10 in one place-value position to the right for the purpose of carrying out subtraction.
- Standard Algorithm for Addition and Subtraction DEFINE
A step-by-step method for addition and subtraction of multi-digit numbers based on place value and regrouping.
- Addition DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
Find the sum of 7,623 and 399 using the standard algorithm.
Level 2
Subtract using the standard algorithm: 2,104 – 287.
Level 3
Would it be better to use mental math or the standard algorithm to subtract 7,321 – 3,887?
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