All Common Core: 7th Grade Math Resources
Example Questions
Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c
Let's work from left to right since it's only multiplication and division. Since there is only one negative number, the product of is negative which is . Now we have . Two negative numbers in a division problem makes the answer positive.
Example Question #311 : Operations
Solve:
When solving this problem remember our orders of operation, or PEMDAS.
PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.
Simplify the quantities inside the parentheses. Then multiply and distribute the coefficient in front.
Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c
Solve:
When solving this problem remember our orders of operation, or PEMDAS.
PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.
Evaluate the quantities inside the parentheses first.
Example Question #1 : Multiply Rational Numbers
Solve:
We know the following information:
However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:
- A negative number multiplied by a positive number will always equal a negative number
- A negative number multiplied by a negative number will always equal a positive number
Thus,
Example Question #2 : Multiply Rational Numbers
Solve:
We know the following information:
However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:
- A negative number multiplied by a positive number will always equal a negative number
- A negative number multiplied by a negative number will always equal a positive number
Thus,
Example Question #3 : Multiply Rational Numbers
Solve:
We know the following information:
However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:
- A negative number multiplied by a positive number will always equal a negative number
- A negative number multiplied by a negative number will always equal a positive number
Thus,
Example Question #4 : Multiply Rational Numbers
Solve:
We know the following information:
In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:
- A negative number multiplied by a positive number will always equal a negative number
- A negative number multiplied by a negative number will always equal a positive number
Thus,
Example Question #1 : Multiply Rational Numbers
Solve:
We know the following information:
In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:
- A negative number multiplied by a positive number will always equal a negative number
- A negative number multiplied by a negative number will always equal a positive number
Thus,
Example Question #6 : Multiply Rational Numbers
Solve the following:
We know the following information:
In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:
- A negative number multiplied by a positive number will always equal a negative number
- A negative number multiplied by a negative number will always equal a positive number
Thus,
Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c
Solve:
We know the following information:
However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:
- A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
- A negative number divided by a negative number will always equal a positive number
Thus,