Operations and Properties - Pre-Algebra

Card 0 of 1848

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When dividing a positive number and a negative number, our answer is negative. The quotient is .

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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.

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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 .

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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 .

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

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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 .

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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.

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

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Question

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

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Question

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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.

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Question

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.

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Question

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

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Question

What digit is in the thousands place?

Answer

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

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

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

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Question

Solve:

Answer

First, solve the equation:

Next, account for the absolute value:

Therefore, the answer is .

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