Tues 9/29 - Opposites and Absolute Value

Tues 9/29 - Opposites and Absolute Value

Mixed Numbers/Improper Fractions

• Mixed Number - A whole number and a fraction combined to represent one number -- Example: 

   $1\frac{1}{2}\ \ \ \ \ \ 5\ \frac{2}{3}\ \ \ \ \ \ \ 10\ \frac{3}{5}$  

• Improper Fraction- A fraction whose numerator is greater than or equal to its denominator -- Example: $\frac{3}{2}\ \ \ \ \ \ \ \ \ \frac{5}{3}\ \ \ \ \ \ \ \ \frac{10}{7}\ \ \ \ \ \ \ \frac{98}{2}\ \ \ \ \ \ \ \ \ \frac{4}{4}$  

You can move between mixed numbers and improper fractions interchangeably  

• To change from a mixed number to an improper fraction Multiply the denominator by the whole number. Then add the numerator to the product.  That becomes your new numerator. Denominator stays the same

•  $4\ \frac{2}{3}\ ->\ \left(4\ x\ 3\right)\ +\ 2\ =\ \frac{14}{3}$  

  
  

You can move between mixed numbers and improper fractions interchangeably  

• To change from an improper fraction to a mixed number, Divide the numerator by the denominator.  Whole number is how many times it fits in, the remainder becomes your new numerator and the denominator stays the same. 

•  $\ \frac{14}{3}->\ 14\ \div3\ =\ 4\ with\ 2\ left\ over.\ \ ->\ 4\ \frac{2}{3}$  

  
  

Multiple Select

Which of the following are mixed numbers?  Check all that apply

•  $1\ \frac{3}{4}$  

•  $\frac{5}{3}$  

•  $\frac{2}{7}$  

•  $6\ \frac{1}{8}$  

Multiple Select

Which of the following are improper fractions? Check all that apply.

• $5\ \frac{2}{3}$

• $\frac{5}{5}$

• $\frac{7}{9}$

• $\frac{9}{5}$

Multiple Choice

Which is 5/3 as a mixed number?

• $5\ \frac{1}{3}$

• $1\ \frac{2}{3}$

• $\frac{3}{5}$

• $1\ \frac{3}{5}$

Multiple Choice

Which is

 $4\ \frac{2}{5}\$  as an improper fraction?

•  $\frac{11}{5}$  

•  $\frac{14}{5}$  

•  $\frac{18}{5}$  

•  $\frac{22}{5}$  

A distance is ALWAYS POSITIVE! Absolute value is always positive!

Multiple Choice

What is the absolute value of -12?

• 12

• -12

• $\frac{1}{12}$

• $-\ \frac{1}{12}$

Multiple Choice

What is  $\left|-9\right|$   ?

• 9

• -9

•  $\frac{1}{9}$  

•  $-\ \frac{1}{9}$  

Multiple Choice

What is $\left|9\right|$  ?

•  $\frac{1}{9}$  

•  $-\ \frac{1}{9}$  

• 9

• -9

Fill in the Blanks

Which numbers have an absolute value of 1?

Multiple Choice

What is the opposite of 135?

• 135

• $\frac{1}{135}$

• -135

• $-\ \frac{1}{135}$

Multiple Choice

What is the opposite of -8?

• 8

• $\frac{1}{8}$

• $-\ \frac{1}{8}$

• -8

Multiple Choice

What is the opposite of $-\frac{1}{2}$  ?

•  $\frac{1}{2}$  

• 2

• -2

•  $\frac{2}{1}$