Real Numbers - Algebra
Card 0 of 2259
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.
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
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.
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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
Compare your answer with the correct one above
Solve.
Solve.
This is just a simple addition problem. The sum of 
and 
is 
.
This is just a simple addition problem. The sum of
Compare your answer with the correct one above
Solve.
Solve.
This is just a simple addition problem. The sum of 
and 
is 
.
This is just a simple addition problem. The sum of
Compare your answer with the correct one above
Add 
.
Add
Add the ones digits.
Since this number is ten or more, the tens place will be the carryover.
Add tens place with the carryover.
The tens place will be the carryover.
Add the hundreds place with the carryover.
The thousands digit is 
, the hundreds digit is 
, the tens digit is 
, and the ones digit is 
.
The answer is: 
Add the ones digits.
Since this number is ten or more, the tens place will be the carryover.
Add tens place with the carryover.
The tens place will be the carryover.
Add the hundreds place with the carryover.
The thousands digit is
The answer is:
Compare your answer with the correct one above
Evaluate: 
Evaluate:
There are many ways to think about solving integer equatons. This one is equivalent to 
, which equals 
.
There are many ways to think about solving integer equatons. This one is equivalent to
Compare your answer with the correct one above
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
Compare your answer with the correct one above
Compare your answer with the correct one above
When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is 
.
When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is
Compare your answer with the correct one above
When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is 
.
When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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
Compare your answer with the correct one above