Rationals

NS Adding, Subtracting, Multiplying & Dividing Rationals

Review!

Multiple Choice

Fill in the blank. To add rationals with the SAME SIGNS, add and __________ the sign.

• subtract

• additive inverse

• keep

• reverse

Multiple Choice

Fill in the blanks (2 words). To add rationals with DIFFERENT SIGNS, subtract and use the sign of the larger ________ ________.

• absolute value

• additive inverse

• common denominator

• improper fraction

Multiple Choice

Solve. -7 + -4

• -3

• 28

• -11

• 74

Multiple Choice

Solve

$$14\ +\ \left(-3\right)$$  

• -11

• 11

• 17

• -17

Multiple Choice

$$-7.7\ +\ \left(2.1\right)$$  

Solve.

• $$9.8$$  

• $$-5.6$$  

• $$-9.8$$  

• $$5.6$$  

Multiple Choice

$$\frac{\ -3\ \ }{\ 8}\ +\ \frac{\ \ \ 7\ \ }{8}$$  Answer in lowest terms! 

• $$\frac{\ \ 3\ \ }{4}$$  

• $$\frac{\ \ 5\ \ }{8}$$  

• $$1\frac{1}{4}$$  

• $$\frac{\ \ 1\ \ }{2}$$  

Multiple Choice

Solve $$\frac{1}{\ 8\ }\ +\ -\frac{3}{\ 4\ }$$  

• $$-\frac{1}{4}$$  

• $$\frac{5}{8}$$  

• $$-\frac{5}{8}$$  

• $$-\frac{2}{12}$$  

Multiple Choice

Fill in the blanks (2 words). To subtract rationals, add the ________ ________.

• absolute value

• additive inverse

• common denominator

• improper fraction

Multiple Choice

Evaluate the expression: $$15-\left(-8\right)$$  

• $$23$$  

• $$7$$  

• $$-23$$  

• $$158$$  

Multiple Choice

-2 - (-10) = ?

• -12

• 12

• 8

• -8

Multiple Choice

Solve: 

$$5\ -\ 15\$$  

• 20

• -20

• -10

• 10

Multiple Choice

Solve

$$-2.3\ -\ 1.4\$$  

• $$-3.7$$  

• $$0.9$$  

• $$3.7$$  

• $$-0.9$$  

Multiple Choice

Solve

$$5\frac{2}{7}\ -\ 12$$  

• 
  

  $$-7\ \frac{5}{7}$$

• $$-6\ \frac{2}{7}$$

• $$-7\ \frac{2}{7}$$

• $$-6\ \frac{5}{7}$$

Multiplication & Division

Same signs = positive

Different signs = negative

Use happy & sad faces!

Multiple Choice

A negative number divided by a positive number will result in an answer of:

• always positive

• always negative

• sometimes positive

• sometimes negative

Multiple Choice

A negative number multiplied by a negative number will result in an answer of:

• always positive

• always negative

• sometimes positive

• sometimes negative

Multiple Choice

Solve  $$\frac{\ \ \ \frac{3}{4}\ \ \ }{\frac{-5\ }{8}}$$  

• $$\frac{2}{8}$$  

• $$-1\ \frac{1}{5}$$  

• $$1\ \frac{1}{5}$$  

• $$-\frac{1}{4}$$  

Multiple Choice

$$\frac{-5.6}{8}$$  

• $$-.7$$  

• 7

• $$.7$$  

• -7

Multiple Choice

-3(-4)

• -12

• 7

• -7

• 12

Multiple Choice

Solve

$$1.4\left(-0.3\right)$$  

• $$4.6$$  

• $$-1.7$$  

• $$1.1$$  

• $$-0.42$$  

Multiple Choice

In home and career class, you are sewing pillowcases. The teacher has

$$9\frac{3}{4}$$  yard of fabric. Each pillowcase uses  $$\frac{\ 3\ }{\ 4\ }$$  of yard of fabric. How many pillowcases can be sewn? 

• 9 pillowcases 

• 13 pillowcases 

• 7 pillowcases 

• 10 pillowcases 

Multiple Choice

Solve in lowest terms.  $$\frac{-2\ }{\ 9\ }\ \times\ \frac{\ \ -3\ \ }{8}$$  

• $$\frac{5}{17}$$  

• $$-\frac{1}{12}$$  

• $$-\frac{5}{17}$$  

• $$\frac{1}{12}$$  

Multiple Choice

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

Solve. Answer in lowest terms.

• $$\frac{2}{15}$$  

• $$\frac{\ -\ 3\ \ \ }{10}$$  

• $$\frac{3}{8}$$  

• $$-\frac{3}{5}$$