Addition and Subtraction of Whole Numbers
When you start out with the basics of math its easier to move forward and work towards harder problems. Addition of whole numbers, is adding numbers together to get a final value. Some terms to remember are addend which is adding two numbers together and sum which is the final answer to a problem. Subtraction of whole numbers, is the inverse operation of adding whole numbers. Instead of adding numbers to get a sum, you are removing one number from another to get the difference of them. We will start with examples of adding whole numbers.
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Properties of whole number addition: is any three whole numbers when you add two of them together the third becomes the sum of the two.
First property is closure property, is the sum of any two real numbers equals the sum of another real numbers. (a+b=c)
Second property is commutative property, is the changing the order of the three numbers which does not change the sum. (a+b=b+a)
Third property is associative property, is when three or more numbers are added, the sum is the same, regardless of the order of addition. (a+b)+c=b(a+c)
The fourth property is additive identity property, is when you add zero to any number the number stays the same. (a+0=a)
Four models of whole number subtraction: teaches kids to advance in math courses and think abstractly.
First model is take-away model, is the basic concept that teaches kids to take away some objects from a set resulting in fewer objects in the set. An example, is suppose you have 9 barbies and give 6 away. How many do you have left? 9-6=3
Second model is missing addend model, this is when you have two numbers, you count up from the smallest number to the bigger number and get your final answer. An example, is suppose you have 6 turtles and you need to have 9 turtles. How many more turtles are needed? We need to add 3 turtles to the 6 turtles to get a total of 9 turtles.
Third model is comparison model, is where you compare one collection to another to determine the difference. An example is suppose you have 9 frogs and someone else has 6 frogs. How many more frogs do you have than the other person? How to solve this is line up 9 frogs in one row and in another row line up 6 frogs. By doing this it gives us the answer by showing us how many more frogs there are.
The fourth model is the number-line model, is when you mark the higher number on the number line and than mark the lower number on the number line. By doing this you will find the answer by counting how many lines are between these numbers to get your answer. An example is
First property is closure property, is the sum of any two real numbers equals the sum of another real numbers. (a+b=c)
Second property is commutative property, is the changing the order of the three numbers which does not change the sum. (a+b=b+a)
Third property is associative property, is when three or more numbers are added, the sum is the same, regardless of the order of addition. (a+b)+c=b(a+c)
The fourth property is additive identity property, is when you add zero to any number the number stays the same. (a+0=a)
Four models of whole number subtraction: teaches kids to advance in math courses and think abstractly.
First model is take-away model, is the basic concept that teaches kids to take away some objects from a set resulting in fewer objects in the set. An example, is suppose you have 9 barbies and give 6 away. How many do you have left? 9-6=3
Second model is missing addend model, this is when you have two numbers, you count up from the smallest number to the bigger number and get your final answer. An example, is suppose you have 6 turtles and you need to have 9 turtles. How many more turtles are needed? We need to add 3 turtles to the 6 turtles to get a total of 9 turtles.
Third model is comparison model, is where you compare one collection to another to determine the difference. An example is suppose you have 9 frogs and someone else has 6 frogs. How many more frogs do you have than the other person? How to solve this is line up 9 frogs in one row and in another row line up 6 frogs. By doing this it gives us the answer by showing us how many more frogs there are.
The fourth model is the number-line model, is when you mark the higher number on the number line and than mark the lower number on the number line. By doing this you will find the answer by counting how many lines are between these numbers to get your answer. An example is
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