Introduction to Multiplying Signed Fractions

Which of the following is a rule for multiplying integers? (Check all that apply)

• negative x negative = negative

• negative x positive = negative

• negative x negative = positive

• positive x negative = negative

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

 $8\times\left(-3\right)=$  

• 5

• -24

• -11

• 24

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

 $-9\times_{\ \ \ \ }=\ 36$  

Fill in the blank. Which integer makes this equation true?

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

The temperature in Maywood dropped 3 degrees every day for the last 4 days. What is the total change in temperature?

Which mathematical expression describes this scenario?

• $3\times\left(-4\right)$

• $-3\times\left(-4\right)$

• $-3\times4$

• $3\times4$

Tags

CCSS.7.EE.B.3

 $\frac{1}{2}\times3=\frac{3}{2}$  

 $\frac{1}{2}\times2=1$  
 $\frac{1}{2}\times1=\frac{1}{2}$  
 $\frac{1}{2}\times0=0$  
What pattern do you notice in the products above?

• decrease by 1

• decrease by  $\frac{1}{2}$  

• no pattern

Tags

CCSS.5.NF.B.5B

 $\left(\frac{1}{2}\right)\left(3\right)=\frac{3}{2}$  
 $\left(\frac{1}{2}\right)\left(2\right)=1$  
  $\left(\frac{1}{2}\right)\left(1\right)=\frac{1}{2}$ 
 $\left(\frac{1}{2}\right)\left(0\right)=0$  
 $\left(\frac{1}{2}\right)\left(-1\right)=$   
 $\left(\frac{1}{2}\right)\left(-2\right)=$  
 $\left(\frac{1}{2}\right)\left(-3\right)=$  
Use the pattern you found in the previous question to finish these number sentences.

•  $\frac{3}{2}$ , $\frac{5}{2}$  ,3

•  $-\frac{1}{2}$  , $-1$  , $-\frac{3}{2}$  

•  $-\frac{1}{2}$  , $-1$  , $-\frac{5}{2}$  

•  $\frac{1}{2},1,\frac{3}{2}$  

Tags

CCSS.7.NS.A.2A

 $\left(-\frac{1}{2}\right)\left(3\right)=-\frac{3}{2}$  

 $\left(-\frac{1}{2}\right)\left(2\right)=-1$  

 $\left(-\frac{1}{2}\right)\left(1\right)=-\frac{1}{2}$  
 $\left(-\frac{1}{2}\right)\left(0\right)=0$  
What pattern do you notice in the products above?

• increase by  $\frac{1}{2}$  

• decrease by 1

• no pattern

Tags

CCSS.7.NS.A.2A

 $\left(-\frac{1}{2}\right)\left(3\right)=-\frac{3}{2}$  
 $\left(-\frac{1}{2}\right)\left(2\right)=-1$ 
 $\left(-\frac{1}{2}\right)\left(1\right)=-\frac{1}{2}$  
 $\left(-\frac{1}{2}\right)\left(0\right)=0$  
 $\left(-\frac{1}{2}\right)\left(-1\right)=$  
 $\left(-\frac{1}{2}\right)\left(-2\right)=$  
 $\left(-\frac{1}{2}\right)\left(-3\right)=$  

Using the pattern from the previous question, finish these number sentences. 

•  $-\frac{1}{2},\ -1,-\frac{3}{2}$  

•  $-\frac{3}{2},-\frac{5}{2},-\frac{7}{2}$  

•  $\frac{1}{2},1,\frac{3}{2}$  

•  $\frac{1}{2},\frac{3}{2},\frac{5}{2}$  

Tags

CCSS.7.NS.A.2A

Which improper fraction is equivalent to this mixed number: $-3\ \frac{2}{5}$  ?

•  $-\frac{17}{5}$  

•  $\frac{17}{5}$  

•  $-\frac{16}{3}$  

•  $\frac{16}{5}$  

Classify if the expression is positive or negative.

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

• negative

• positive

Tags

CCSS.7.NS.A.2A