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7. Which operation will not change the value of any nonzero number?
a. Adding One
b. Multiplying by Zero
c. Multiplying by One
d. Dividing by Zero

8. Which Property of addition does 8+0=8 illustrate?
a. Distributive Property
b. commutative property
c. multiplying by one
d. dividing by zero

10. Which property would you use to simplify the expression? 3(y+5)
a. distributive property
b. multiplication property of zero
c. commutative property
d. associative property

User Darshan B
by
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2 Answers

2 votes

7 - b

→ When you multiply something by 1, it's value remains exactly the same.

When you multiply something by 0, the answer is always 0.

When you add 1 to something, the value will be always one number bigger.

When you divide something by 0, there is no possible answer since you're dividing a number into nothing, and you need to divide a number into a certain amount of parts in order to make a division.


8 - b

→ The commutative property says that the order of the numbers that are being used can change, and the result will still remain the same.

The distributive property is a property based on multiplication used to break down parenthesis.

Multypling by one is not a property.

Multiplying by zero is also not a property.


10 - a

→ The distributive property is a property based on multyplication that is used to break down parethesis. In your case, you'll multiply 3 * y and 3 * 5 to obtain 3y + 15.

Multypling by zero is not a property.

The commutative property is a property that states that the order of number is an operation can be changed, that the result won't change.

The associative property is a property that states that you can group numbers in different ways while still obtaining the same result.


Hope it helped,


BioTeacher101

User Mikayla
by
7.0k points
6 votes

c. Multiplying by One

Any number multiplied by one will result in the same number. For example:

-7 x 1 = -7

6 x 1 = 6

For 8, it is non of the above. Instead, the answer should be "Additive Identity Property" as the sum of a number and 0 will result in the number

a. distributive property is your answer

To simplify, you must distribute the term outside (3) to all terms within the parenthesis (y & 5)

hope this helps


User Ccocker
by
7.0k points
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