Integer Operations - Algebra
Card 0 of 1800
When evaluating the expression
,
in which order must you work the three operations?
When evaluating the expression
in which order must you work the three operations?
By the order of operations, in the absence of grouping symbols, multplication must be worked before adding or subtracting. Then the addition and subtraction must be worked in left-to-right order; the subtraction is at left, so the subtraction is worked next, followed by the addition.
By the order of operations, in the absence of grouping symbols, multplication must be worked before adding or subtracting. Then the addition and subtraction must be worked in left-to-right order; the subtraction is at left, so the subtraction is worked next, followed by the addition.
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Find the volume of a cube that is five feet on each side.
Find the volume of a cube that is five feet on each side.
To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.
(5ft)3 = 5ft*5ft*5ft = 125ft3
To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.
(5ft)3 = 5ft*5ft*5ft = 125ft3
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The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.
The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.
We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.
Direct variation: 
We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.
Direct variation:
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What is the square root of 81?
What is the square root of 81?
9 * 9 = 81, and thus 9 is the square root of 81. It is true that (–9) * (–9) = 81, but it is a convention that "the square root" refers to the positive value. Had the question asked for "a square root" or "the square roots" of 81, –9 would be acceptable.
9 * 9 = 81, and thus 9 is the square root of 81. It is true that (–9) * (–9) = 81, but it is a convention that "the square root" refers to the positive value. Had the question asked for "a square root" or "the square roots" of 81, –9 would be acceptable.
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What is (–16) * (–2)?
What is (–16) * (–2)?
When multiplying two negative numbers, the negatives cancel each other out, leaving a positive solution, thus, we can think of (–16)(–2) as (16)(2), which is 32.
(–16) * (–2)
(–1)(16) * (–1)(2)
(–1)(–1) * (16)(2)
(1) * (16)(2)
16 * 2
32
When multiplying two negative numbers, the negatives cancel each other out, leaving a positive solution, thus, we can think of (–16)(–2) as (16)(2), which is 32.
(–16) * (–2)
(–1)(16) * (–1)(2)
(–1)(–1) * (16)(2)
(1) * (16)(2)
16 * 2
32
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Regardless if the number is positive or negative, anything multipled by zero is always zero. So 
.
Regardless if the number is positive or negative, anything multipled by zero is always zero. So
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When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is 
.
When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is
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When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is 
.
When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is
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When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is 
.
When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is
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When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is 
.
When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is
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This is the same as adding two negative numbers. When adding with another negative number, just treat as an addition problem and then add a negative sign in front. Answer is 
.
This is the same as adding two negative numbers. When adding with another negative number, just treat as an addition problem and then add a negative sign in front. Answer is
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When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is 
.
When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is
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When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is 
.
When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is
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Solve.
Solve.
This is just a simple addition problem. The sum of 
and 
is 
.
This is just a simple addition problem. The sum of
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When multiplying with more than two integers, we count the number of negative signs. Since there are three, that means our answer is going to be negative. We multiply from left to right. Answer is 
.
When multiplying with more than two integers, we count the number of negative signs. Since there are three, that means our answer is going to be negative. We multiply from left to right. Answer is
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Solve.
Solve.
This is just a simple addition problem. The sum of 
and 
is 
.
This is just a simple addition problem. The sum of
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Find the volume of a cube that is five feet on each side.
Find the volume of a cube that is five feet on each side.
To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.
(5ft)3 = 5ft*5ft*5ft = 125ft3
To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.
(5ft)3 = 5ft*5ft*5ft = 125ft3
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Add:
Add:
When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.
Adding the real parts gives 
, and adding the imaginary parts gives 
.
When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.
Adding the real parts gives
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The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.
The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.
We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.
Direct variation:
We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.
Direct variation:
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Subtract:
Subtract:
This is essentially the following expression after translation:
Now add the real parts together for a sum of 
, and add the imaginary parts for a sum of 
.
This is essentially the following expression after translation:
Now add the real parts together for a sum of
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