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What is the meaning of Addition?

Putting two or more numbers together to find the total or sum.

What is the symbol for Addition?

• (plus)

What is an example of Addition?

5 + 3 = 8

What does the Commutative Property of Addition state?

Order doesn’t matter; for example, 4 + 6 = 6 + 4.

What does the Associative Property of Addition state?

Grouping doesn’t matter; for example, (2 + 3) + 4 = 2 + (3 + 4).

What happens when you add zero to a number?

Any number + 0 = the same number; for example, 7 + 0 = 7.

What is the meaning of Subtraction?

Taking away one number from another to find the difference.

What is the symbol for Subtraction?

− (minus)

What is an example of Subtraction?

9 − 4 = 5

What does it mean that Subtraction is not commutative?

Order matters; for example, 8 − 3 ≠ 3 − 8.

What happens when you subtract zero from a number?

Any number − 0 = the same number; for example, 6 − 0 = 6.

What is the result when you subtract a number from itself?

Always 0; for example, 5 − 5 = 0.

Give an example of the Commutative Property related to Addition.

4 + 6 = 6 + 4.

Give an example of the Associative Property related to Addition.

(2 + 3) + 4 = 2 + (3 + 4).

How do you express the identity property of zero in Addition?

Any number + 0 = that number.

How would you solve the equation 5 + 3?

5 + 3 = 8.

What does it mean for Subtraction to be directionally dependent?

The order of numbers affects the outcome, e.g., 8 − 3 is not equal to 3 − 8.

What does it mean to say that subtraction has an identity property of zero?

Any number − 0 = that number.

How would you illustrate Subtracting a Number from Itself?

For any number x, x − x = 0.

What is the result of 9 − 4?

5.

What is the definition of a sum in Addition?

The result of adding two or more numbers.

What is meant by the term 'difference' in Subtraction?

The result of subtracting one number from another.

What is the result of the operation 7 + 0?

7.

If you rearranged 6 + 4, what does that demonstrate?

The Commutative Property of Addition.

What is a key feature of the Associative Property in Addition?

Changing the grouping of numbers does not change the sum.

How does the identity property work in Addition?

Any number added to 0 equals the original number.

Is it possible for subtraction to give a negative result?

Yes, if the first number is smaller than the second.

What can you conclude about both Addition and Subtraction in terms of identity?

Addition has an identity of zero; Subtraction does not have an identity.

What does the Subtraction operation require for the order of numbers?

The first number must be larger than the second to avoid negatives.

How is the Commutative Property important in daily calculations?

It allows flexibility in adding numbers in different sequences.

What property of Addition helps in simplifying calculations in grouping?

The Associative Property.

What does the definition of 'sum' imply for the numbers being added?

They must be combined to find a total.