Pre-Algebra : Other Pre-Algebra Properties

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #431 : Operations And Properties

Simplify. 

Possible Answers:

Correct answer:

Explanation:

Since the two powers are not of the same base, we cannot combine the exponents. 

We cannot simplify the equation further.

Example Question #2 : Other Pre Algebra Properties

Simplify.

Possible Answers:

Correct answer:

Explanation:

The first part is  .

One way to simplify this portion is to apply the distributive property twice to get:

By the commutative property of multiplication , so the two middle terms cancel out (one is positive and the other negative, resulting in zero).

This leaves .

Note: the identity is worth memorizing, because it is very useful in higher math. The same result can be achieved by using FOIL.

Returning to our original expression, we can substitute:

Now, apply the distributive property to the second part of the expression:

Combining everything together:

Use the associative property of addition to group like terms and simplify.

Example Question #432 : Operations And Properties

What property is applied to the following expression?

Possible Answers:

Multiplicative Inverse Property

Associative Property of Multiplication

Associative Property of Addition

Distributive Property

Commutative Property of Multiplication

Correct answer:

Distributive Property

Explanation:

The rule for Distributive Property is 

 Expression given in the question is: 

Hence it is Distributive Property.

Example Question #433 : Operations And Properties

What digit is in the ones place?

Possible Answers:

Correct answer:

Explanation:

The ones place will always be the first digit to the left of the decimal point. 

Example Question #434 : Operations And Properties

What digit is in the hundredths place? 

Possible Answers:

Correct answer:

Explanation:

The hundredths place will always be the second digit to the right of the decimal point. 

Example Question #5 : Other Pre Algebra Properties

What digit is in the thousands place?

Possible Answers:

Correct answer:

Explanation:

The thousands place will always be the forth digit to the left of the decimal point. 

Example Question #6 : Other Pre Algebra Properties

What digit is in the tens place?

Possible Answers:

Correct answer:

Explanation:

The tens place will always be the second digit to the left of the decimal point.

Example Question #1 : Other Pre Algebra Properties

What digit is in the tenths place?  

Possible Answers:

Correct answer:

Explanation:

The tenths place will always be the first digit to the right of the decimal point. 

Example Question #2 : Other Pre Algebra Properties

What digit is in the hundredths place?

Possible Answers:

Correct answer:

Explanation:

The hundreths place will always be the second digit to the right of the decimal point. 

Example Question #9 : Other Pre Algebra Properties

What digit is in the thousands place?

Possible Answers:

Correct answer:

Explanation:

The thousands place will always be the forth digit to the left of the decimal point. 

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