High School Math : Integers
Study concepts, example questions & explanations for High School Math
All High School Math Resources
Example Questions
Example Question #62 : High School Math
Find the difference.
We are subtracting here, so it is important to remember that subtracting is really just adding the same number with opposite sign. Thus we can think of the problem as the following:
Example Question #63 : High School Math
What is 
Recall that subtracting integers is equivalent to adding the inverse. The inverse of a negative number is the positive number with the same magnitude.
Thus, our problem is equivalent to 
Example Question #64 : High School Math
Evaluate the following expression:
Recall that subtracting is equivalent to adding the inverse:
The inverse of a negative number is a positive number:
Example Question #66 : High School Math
What is:
Recall the placement of numbers on the number line. 
When we add these spaces we end up going 
Example Question #65 : High School Math
What is 
Recall that subtracting a negative number is equivalent to adding the opposite. Thus,
Example Question #66 : High School Math
What is 
Recall that subtracting negative numbers is equivalent to adding the opposite. Then, we have that:
Example Question #1 : How To Multiply And Divide Integers In Pre Algebra
Solve the expression below.
In this case, it is key to recall the rules for multiplying or dividing with negative values.
Negative * Positive = Negative
Negative * Negative = Positive
Positive * Positive = Positive
In this case, we are multiplying two negative numbers; thus the answer should be a positive number. To find the value, we can simply multiply the terms without their negatives.
Example Question #2 : How To Multiply And Divide Integers In Pre Algebra
Simplify:
First multiply all the numbers 
If there is an even amount of negative signs, then the product will be positive. If there is an odd amount of negative signs, then the product will be negative.
Therefore, the answer is 
Example Question #1 : How To Multiply And Divide Integers In Pre Algebra
Combine like terms for the simplest form:
First multiply according to order of operations to get 6xy, and then see if there are like terms to be combined. In this case, there are not so the simplest form is
Example Question #2 : How To Multiply And Divide Integers In Pre Algebra
All of the following numbers are prime EXCEPT:
421
401
347
349
427
427
A number is prime if it is divisible by only itself and one. Thus, if a number is divisible by anything else, it can't be prime. Of the answer choices, only 427 isn't prime, because it is divisible by 7.
To figure out which number is prime, one strategy you could employ is using your calculator and dividing each choice by 3, 7, 9, 11, and 13. Because all of the answer choices are odd, we know none of them will be divisible by 2, 4, 6, 8, or 10. Also, none of them have a 0 or 5 in the ones place, so they can't be divisible by 5. Thus, the best numbers to try would be 3, 7, 9, 11, and 13. When you divide 427 by 7, you will get a whole number. For all the other answer choices, when you divide by 3, 7, 9, 11, and 13, you will never get a whole number.
The answer is 427.
Certified Tutor
All High School Math Resources
