Other Pre-Algebra Properties - Pre-Algebra
Card 0 of 112
What digit is in the hundreds place: 
What digit is in the hundreds place:
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The hundreds place will also be the third digit to the left of the decimal point.
The hundreds place will also be the third digit to the left of the decimal point.
What digit is in the thousands place?
What digit is in the thousands place?
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The thousands place will always be the forth digit to the left of the decimal point.
The thousands place will always be the forth digit to the left of the decimal point.
What digit is in the thousandths place?
What digit is in the thousandths place?
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The thousandths place will alway be the third digit to the right of the decimal.
The thousandths place will alway be the third digit to the right of the decimal.
What digit is in the tens place?
What digit is in the tens place?
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The tens place will always be the second digit to the left of the decimal point.
The tens place will always be the second digit to the left of the decimal point.
What digit is in the tenths place?
What digit is in the tenths place?
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The tenths place will always be the first digit to the right of the decimal point.
The tenths place will always be the first digit to the right of the decimal point.
What digit is in the hundredths place?
What digit is in the hundredths place?
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The hundreths place will always be the second digit to the right of the decimal point.
The hundreths place will always be the second digit to the right of the decimal point.
What digit is in the thousandths place?
What digit is in the thousandths place?
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The thousandths place will always be the third digit to the right of the decimal point.
The thousandths place will always be the third digit to the right of the decimal point.
What digit is in the thousands place?
What digit is in the thousands place?
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The thousands place will always be the forth digit to the left of the decimal point.
The thousands place will always be the forth digit to the left of the decimal point.
What digit is in the tenths place?
What digit is in the tenths place?
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The tenths place is always the first digit to the right of the decimal point.
The tenths place is always the first digit to the right of the decimal point.
What digit is in the ones place?
What digit is in the ones place?
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The ones place will always be the first digit to the left of the decimal point.
The ones place will always be the first digit to the left of the decimal point.
What digit is in the hundredths place?
What digit is in the hundredths place?
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The hundredths place will always be the second digit to the right of the decimal point.
The hundredths place will always be the second digit to the right of the decimal point.
Simplify.
Simplify.
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Since the two powers are not of the same base, we cannot combine the exponents.
We cannot simplify the equation further.
Since the two powers are not of the same base, we cannot combine the exponents.
We cannot simplify the equation further.
Simplify.
Simplify.
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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 first part is
One way to simplify this portion is to apply the distributive property twice to get:
By the commutative property of multiplication
This leaves
Note: the identity
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.
What property is applied to the following expression?
What property is applied to the following expression?
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The rule for Distributive Property is 
Expression given in the question is:
Hence it is Distributive Property.
The rule for Distributive Property is
Expression given in the question is:
Hence it is Distributive Property.
What digit is in the tenths place?
What digit is in the tenths place?
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The tenths place will also be the first digit to the right of the decimal point.
The tenths place will also be the first digit to the right of the decimal point.
What is 
rounded to the nearest tenth?
What is
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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 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
The
What is 
rounded to the nearest thoundsandths?
What is
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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 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
The
What is 
rounded to the nearest hundredths?
What is
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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 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
The
What is 
rounded to the nearest tenths?
What is
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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 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
The
What is 
rounded to the nearest tenths?
What is
Tap to see back →
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 
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
The