Operations and Properties - Pre-Algebra
Card 0 of 1848
Solve:

Solve:
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When dividing a positive number and a negative number, our answer is negative. The quotient is
.
When dividing a positive number and a negative number, our answer is negative. The quotient is .
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.
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When a plus and minus sign meet, the sign becomes negative. When adding two negative numbers, we treat as an addition problem and add a minus sign in the end. Answer is
.
When a plus and minus sign meet, the sign becomes negative. When adding two negative numbers, we treat as an addition problem and add a minus sign in the end. Answer is .
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Just subtract normally. Answer is
.
Just subtract normally. Answer is .
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When two minus signs meet, the sign becomes positive. It becomes an addition problem. Answer is
.
When two minus signs meet, the sign becomes positive. It becomes an addition problem. Answer is .
Solve:

Solve:
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Solve:

Solve:
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When two negative numbers are being divided, our answer is positive. The quotient is
.
When two negative numbers are being divided, our answer is positive. The quotient is .
Solve:

Solve:
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When dividing two negative numbers, the answer is positive. Then divide normally. Answer is
.
When dividing two negative numbers, the answer is positive. Then divide normally. Answer is .
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This is the same as adding two negative numbers. We treat as an addition problem and add the minus sign in the end. Answer is
.
This is the same as adding two negative numbers. We treat as an addition problem and add the minus sign in the end. Answer is .
Solve:

Solve:
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The numbers are positive. Just add. The sum is
.
The numbers are positive. Just add. The sum is .
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(3+2)=5 is the first operation because parentheses is the first step in order of operations. 5 is then squared because exponents are the second operation. Finally 4 is added to 25, leaving the answer as 29.
(3+2)=5 is the first operation because parentheses is the first step in order of operations. 5 is then squared because exponents are the second operation. Finally 4 is added to 25, leaving the answer as 29.
Solve:

Solve:
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A plus and minus sign becomes a minus sign. This is just a subtraction problem. Answer is
.
A plus and minus sign becomes a minus sign. This is just a subtraction problem. Answer is .
Simplify.

Simplify.
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The 3 is first distributed to (x-4) because multiplication comes before addition in order of operations. This leaves us with 3x-12+6. when the -12 and 6 are added we are left with 3x-6
The 3 is first distributed to (x-4) because multiplication comes before addition in order of operations. This leaves us with 3x-12+6. when the -12 and 6 are added we are left with 3x-6
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The first step is adding 4+6 because parentheses are first in order of operations. Next that answer (10) is multiplied by 3, because multiplication comes before addition, giving us 30. Finally the 2 is added, leaving us with the answer 32.
The first step is adding 4+6 because parentheses are first in order of operations. Next that answer (10) is multiplied by 3, because multiplication comes before addition, giving us 30. Finally the 2 is added, leaving us with the answer 32.
What is the first step in solving the following expression?

What is the first step in solving the following expression?
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The first step in order of operations is parentheses, so (4-1) is the first step to solve the equation.
The first step in order of operations is parentheses, so (4-1) is the first step to solve the equation.
Simplify the following:

Simplify the following:
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It is important to be careful of where the negative sign is when simplifying.
When simplifying you should end up with:
which equals 
It is important to be careful of where the negative sign is when simplifying.
When simplifying you should end up with:
which equals
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.
Solve:

Solve:
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Two minus signs become a plus sign. This is an addition problem. Answer is
.
Two minus signs become a plus sign. This is an addition problem. Answer is .
Solve:

Solve:
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When a plus and minus sign meet, the operation becomes minus sign. We subtract normally. Answer is
.
When a plus and minus sign meet, the operation becomes minus sign. We subtract normally. Answer is .
Solve:

Solve:
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First, solve the equation:

Next, account for the absolute value:

Therefore, the answer is
.
First, solve the equation:
Next, account for the absolute value:
Therefore, the answer is .