Question
- a) Describe the commututive property of addition of whole numbers in words, and give an example.
b) Use an example to show that subtraction of whole numbers is not commutative.
- I we odd ino whole numbers, the answer will always be another whole number. For example,
b) Use an example to show that subtraction of whole numbers is not commutative.
Ask by Gough Hall. in South Africa
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
10. a) Commutative Property of Addition
- Definition: Adding two whole numbers in any order gives the same sum.
- Example:
10. b) Subtraction is Not Commutative
- Example:
and . Since , subtraction does not follow the commutative property.
11. Whole Numbers and Addition
- Statement: Adding two whole numbers always results in another whole number.
- Example:
. All numbers involved are whole numbers.
Solution
Let’s break down the problems step by step.
10. a) Commutative Property of Addition
The commutative property of addition states that when you add two whole numbers, the order in which you add them does not change the sum. In other words, if you have two whole numbers
Example:
Let’s take
Let’s take
Calculating both ways:
Since both calculations yield the same result, this demonstrates the commutative property of addition.
10. b) Subtraction is Not Commutative
To show that subtraction of whole numbers is not commutative, we can use an example. The property states that changing the order of the numbers will change the result.
Example:
Let’s take
Let’s take
Calculating both ways:
Since
11. Odd and Whole Numbers
The statement seems to be about the addition of whole numbers and how it results in another whole number. However, it appears there is a typo in your example. Let’s clarify:
When you add two whole numbers, the result is always another whole number.
Example:
Let’s take two whole numbers
Let’s take two whole numbers
Here,
If you meant to refer to odd numbers, the statement would be different. For example, the sum of two odd numbers is always even, but the sum of an odd and an even number is always odd.
If you need further clarification or examples, feel free to ask!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
The commutative property of addition tells us that when we add whole numbers, the order in which we add them doesn’t matter; the sum will always be the same. For example, if you take the numbers 3 and 5, whether you calculate 3 + 5 or 5 + 3, you’ll always get 8.
However, when it comes to subtraction, things get trickier! For instance, if you have 5 and you subtract 2, you get 3 (5 - 2 = 3). But if you switch them and subtract 5 from 2, you end up with -3 (2 - 5 = -3). Now that’s a difference! So, unlike addition, subtraction is definitely not commutative.
