How to divide integers - Algebra 1
Card 0 of 20
What is 
?
What is
Divide the absolute values to get the magnitude of the answer.
Remember the following rules:
Positive divided by negative is negative.
Positive divided by positive is positive.
Negative divided by negative is positive.
Since we are dealing with two negatives, our answer will be positive.
Divide the absolute values to get the magnitude of the answer.
Remember the following rules:
Positive divided by negative is negative.
Positive divided by positive is positive.
Negative divided by negative is positive.
Since we are dealing with two negatives, our answer will be positive.
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This is a classic order of operations question, and if you are not careful, you can end up with the wrong answer!
Remember, the order of operations says that you have to go in the following order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (also known as PEMDAS). In this equation, you will start with the parentheses. In the parentheses, we have
.
But within the parentheses, you still need to follow PEMDAS. First, we will solve the exponent, and the square of 2 is 4. Then, we'll divide 16 by 4, which gives us 4, so we can rewrite our original equation as
.
We can now divide 
into 
, which gives us
.
The last step is to add and subtract the numbers above, paying careful attention to negative signs. In the end, we end up with 
because 
added to 
equals 
, and 
minus 
equals 
.
This is a classic order of operations question, and if you are not careful, you can end up with the wrong answer!
Remember, the order of operations says that you have to go in the following order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (also known as PEMDAS). In this equation, you will start with the parentheses. In the parentheses, we have
But within the parentheses, you still need to follow PEMDAS. First, we will solve the exponent, and the square of 2 is 4. Then, we'll divide 16 by 4, which gives us 4, so we can rewrite our original equation as
We can now divide
The last step is to add and subtract the numbers above, paying careful attention to negative signs. In the end, we end up with
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Divide and express the quotient in scientific notation:
Divide and express the quotient in scientific notation:
All of these choices are equivalent to the correct answer. But only 
is in scientific notation.
All of these choices are equivalent to the correct answer. But only
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If a number is divisible by 9 and 12, it must also be divisible by...
I. 36
II. 48
III. 144
If a number is divisible by 9 and 12, it must also be divisible by...
I. 36
II. 48
III. 144
For a number A to be divisible by another number B, A must share all of the prime factors of B. For example, 100 is divisible by 10 because the prime factors of 10 (5 and 2) are found in the prime factors of 100 (2, 2, 5, and 5).
In this problem, we have a number A that is divisible by 9 and 12. First, find the prime factors of 9 and 12. The factors of 9 are (3, 3). The factors of 12 are (2,2,3). So, to be divisible by 9 and 12, the number A must have the factors (2,2,3,3). Multiply those together, and we get 2*2*3*3= 36.
So, A must be divisible by 36. It could be divisible by the other answer choices, but since the question asked which choice must be right, we can only choose 36.
For a number A to be divisible by another number B, A must share all of the prime factors of B. For example, 100 is divisible by 10 because the prime factors of 10 (5 and 2) are found in the prime factors of 100 (2, 2, 5, and 5).
In this problem, we have a number A that is divisible by 9 and 12. First, find the prime factors of 9 and 12. The factors of 9 are (3, 3). The factors of 12 are (2,2,3). So, to be divisible by 9 and 12, the number A must have the factors (2,2,3,3). Multiply those together, and we get 2*2*3*3= 36.
So, A must be divisible by 36. It could be divisible by the other answer choices, but since the question asked which choice must be right, we can only choose 36.
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Rewrite 100 as a number in base six.
Rewrite 100 as a number in base six.
One way to do this:
Divide 100 by 6. The remainder will be the last digit.
Now divide the quotient by 6. This remainder will be the second-to-last digit.
The quotient is less than 6, so it is the first digit. The base-six equivalent of 100 is 
.
One way to do this:
Divide 100 by 6. The remainder will be the last digit.
Now divide the quotient by 6. This remainder will be the second-to-last digit.
The quotient is less than 6, so it is the first digit. The base-six equivalent of 100 is
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Divide: 
Divide:
Write the factors of the two numbers.
Write the factors of the two numbers.
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If a number is divisible by 
, which of the following is always true?
I. Divisible by 
II. Divisible by 
III. Divisible by 
If a number is divisible by
I. Divisible by
II. Divisible by
III. Divisible by
If a number is divisble by some number 
, then it is also divisible by all of its factors. Hence, if a number is divisible by 
, it is also divisible by 
, and 
. Thus, I and II are both true.
If a number is divisble by some number
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What is 
What is
When you are dealing with negative numbers, the following rules apply.
If there are no negative signs, the answer is positive.
If there is one negative sign, the answer is negative.
If there are two negative signs, the answer is positive.
, and since there is only one negative sign the answer is negative. 
is the solution.
When you are dealing with negative numbers, the following rules apply.
If there are no negative signs, the answer is positive.
If there is one negative sign, the answer is negative.
If there are two negative signs, the answer is positive.
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Divide 
.
Divide
Rewrite the expression in fraction form.
Write out the common factors of both the numerator and denominator.
We can then see that the fraction can be reduced to 
without having to conduct long division.
The answer is 
.
Rewrite the expression in fraction form.
Write out the common factors of both the numerator and denominator.
We can then see that the fraction can be reduced to
The answer is
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Divide: 
Divide:
Rewrite the expression as a fraction.
Write out the multiples of the numerator and denominator.
The twos can be cancelled. Simplify what remains of the fraction.
The answer is: 
Rewrite the expression as a fraction.
Write out the multiples of the numerator and denominator.
The twos can be cancelled. Simplify what remains of the fraction.
The answer is:
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Divide the integers: 
Divide the integers:
Rewrite the expression as a fraction.
Rewrite the fraction by common factors of two.
Divide and cancel the twos, which will become one.
The answer is: 
Rewrite the expression as a fraction.
Rewrite the fraction by common factors of two.
Divide and cancel the twos, which will become one.
The answer is:
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Divide: 
Divide:
Rewrite this expression into a fraction.
Write the factors for the numerator and denominator.
The fours are common and can be divided or cancelled.
The result is: 
Rewrite this expression into a fraction.
Write the factors for the numerator and denominator.
The fours are common and can be divided or cancelled.
The result is:
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Divide: 
Divide:
In order to divide these two numbers, we will need to rewrite both numbers as a fraction and split the numbers by common factors.
The twos can be cancelled through division.
The answer is: 
In order to divide these two numbers, we will need to rewrite both numbers as a fraction and split the numbers by common factors.
The twos can be cancelled through division.
The answer is:
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Divide the following numbers: 
Divide the following numbers:
Rewrite this expression as a fraction.
Rewrite both numbers using common factors.
Cancel the common terms in the numerator and denominator.
The answer is: 
Rewrite this expression as a fraction.
Rewrite both numbers using common factors.
Cancel the common terms in the numerator and denominator.
The answer is:
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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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Divide: 
Divide:
Instead of using long division to solve, we can rewrite the numerator and denominator by their common factors.
Cancel the common terms in the numerator and denominator.
Write the remaining terms.
The answer is: 
Instead of using long division to solve, we can rewrite the numerator and denominator by their common factors.
Cancel the common terms in the numerator and denominator.
Write the remaining terms.
The answer is:
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Divide the numbers: 
Divide the numbers:
Rewrite the numerator and denominator with common factors.
Simplify the fraction.
The answer is: 
Rewrite the numerator and denominator with common factors.
Simplify the fraction.
The answer is:
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Divide the numbers: 
Divide the numbers:
Rewrite the expression into a fraction.
Write the numbers in terms of their common factors.
Cancel the common terms. There are no common factors with the numbers 49 and 16.
The answer is: 
Rewrite the expression into a fraction.
Write the numbers in terms of their common factors.
Cancel the common terms. There are no common factors with the numbers 49 and 16.
The answer is:
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Divide twenty six by seventy eight.
Divide twenty six by seventy eight.
Write the sentence as an expression.
Rewrite the fraction by common factors. Both numbers are divisible by two.
Cancel out the two.
Notice that the fraction 
can also be reduced further.
The fraction is: 
Write the sentence as an expression.
Rewrite the fraction by common factors. Both numbers are divisible by two.
Cancel out the two.
Notice that the fraction
The fraction is:
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Divide sixty with twenty five.
Divide sixty with twenty five.
Write the expression as a fraction.
Rewrite the numerator and denominator with common factors.
Cancel the common terms on the top and bottom.
The answer is: 
Write the expression as a fraction.
Rewrite the numerator and denominator with common factors.
Cancel the common terms on the top and bottom.
The answer is:
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