Other Pre-Algebra Properties - Pre-Algebra

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.

The rule for Distributive Property is

Expression given in the question is:

Hence it is Distributive Property.

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

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

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

The hundreds place will also be the third digit to the left of the decimal point.

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

The thousandths place will alway be the third digit to the right of the decimal.

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

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

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

The thousandths place will always be the third digit to the right of the decimal point.

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

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

When we round a number to the tenths place, we look to the hundredths place (the digit directly to the right of the tenths place) to tell us if we round up or down.

In this case, our hundredths place is , which tells us to round up. Remember, means round down, means round up.

The is in the tenths place, so we round that up to and get rid of all of the numbers to the right of the tenths place. Our rounded number becomes

When we round a number to the thousanths place, we look to the ten thousandths place (the digit directly to the right of the tousandths place) to tell us if we round up or down.

In this case, our ten thousanths place is , which tells us to round down. Remember, means round down, means round up.

The is in the thousandths place, so that stays at and we get rid of all of the numbers to the right of the thousandths place. Our rounded number becomes .

When we round a number to the hundredths place, we look to the thousandths place (the digit directly to the right of the hundredths place) to tell us if we round up or down.

In this case, our thousandths place is , which tells us to round up. Remember, means round down, means round up.

The is in the hundredths place, so we round that up to and get rid of all of the numbers to the right of the hundredths place. Our rounded number becomes

When we round a number to the tenths place, we look to the hundrdeths place (the digit directly to the right of the tenths place) to tell us if we round up or down.

In this case, our hundredths place is , which tells us to round down. Remember, means round down, means round up.

The is in the tenths place, so that stays as a and we get rid of all of the numbers to the right of the tenths place. Our rounded number becomes

When we round a number to the tenths place, we look to the hundredths place (the digit directly to the right of the tenths place) to tell us if we round up or down.

In this case, our hundredths place is , which tells us to round down. Remember, means round down, means round up.

The is in the tenths place, so we leave that as a and get rid of all of the numbers to the right of the tenths place. Our rounded number becomes