# Pre-Algebra : Other Pre-Algebra Properties

## Example Questions

### Example Question #431 : Operations And Properties

Simplify.

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.

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?

Multiplicative Inverse Property

Associative Property of Multiplication

Distributive Property

Commutative Property of Multiplication

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?

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?

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?

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?

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?

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?

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?