Properties of Operations with Rational Numbers

What property is shown below:

 $6\times-3\ =\ -3\times6$  

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

• Multiplicative Inverse

What property is shown below:

 $-3\times\left(-11\times6\right)\ =\ \left(-3\times-11\right)\times6$  

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

• Multiplicative Inverse

What property is shown below:

 $6\left(-4+10\right)=-24\ +\ 60$  

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

• Multiplicative Inverse

What property is shown below:

 $\frac{1}{3}\div\frac{4}{5}\ =\ \frac{1}{3}\times\frac{5}{4}$  

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

• Multiplicative Inverse

What property could you use to help you solve this problem and why?

 $-3\times\left(10\right)\times\left(-4\right)\times\left(\frac{1}{4}\right)$  

What property could you use to help you solve this problem and why?

 $5\times\left(-6\right)\times\left(-\frac{1}{5}\right)\times\left(\frac{1}{2}\right)$  

What property do you need to use first before you can solve this problem? Explain.

 $9\times\left(-4\right)\div\left(-\frac{1}{2}\right)\times\left(7\right)$  

Solve the problem below using the properties of operation to make it easier to solve:

 $-6\times\left(-3\right)\times\left(10\right)\times\left(-5\right)\times2$  

• 1,800

• 180

• -1,800

• -900

Solve the problem below using the properties of operations to make it easier to solve:

 $9\times\left(-4\right)\div\left(-\frac{1}{2}\right)\times\left(7\right)$  

• 126

• 504

• -126

• -504

Solve the problem below using the properties of operations to make it easier to solve:

 $6\ \times-5\times\left(\frac{1}{3}\right)\times-2\div\left(-\frac{1}{4}\right)$  

• -40

• 80

• -720

• -80