Math Operations with Rational Numbers Review

Review Modules

3 and 4

I can ADD or SUBTRACT Rational Numbers

Multiple Choice

What is the definition of "addition?"

• A part of a whole.

• taking one number away from another; finding the difference.

• Adding two or more numbers together to find the sum.

Multiple Choice

What is the definition of "subtraction?"

• Taking one number away from another; finding the difference.

• Adding two or more numbers together to find the sum.

• Changing the order of the numbers you are adding DOES NOT change the sum.

Multiple Choice

What is a decimal point?

• Adding two or more numbers together to find the sum.

• A point used to separate the whole number from the fractional part.

• Taking one number away from another; finding the difference.

Multiple Choice

When you find the sum, what type of math problem are you trying to solve?

• Subtraction

• Addition

• Multiplication

• Division

Multiple Choice

When you find the difference, what type of math problem are you trying to solve?

• Subtraction

• Multiplication

• Addition

• Division

​Remember when adding and subtracting positive and negative numbers you must start with the first number and envision it on a number line. Then decide if you are going to go towards the positive or toward the negative.

​

Adding Pos and Neg Decimals

​2.3 + 4.6 =

​Start with

+ 4.6 shows adding a positive

​-5.1 + (-4.2)

​Start with

+ (-4.2) shows adding a negative

​2.3 - (-3.1) =

​Start with

- (-4.6) shows subtracting a negative

​Remember when adding and subtracting positive and negative numbers you must start with the first number and envision it on a number line. Then decide if you are going to go towards the positive or toward the negative.

​

Adding Pos and Neg Decimals

​2.3 + 4.6 =

​Start with

6.9

​-5.1 + (-4.2)

​Start with

-5.1 - 4.2 =

-9.3

​2.3 - (-3.1) =

​Start with

2.3 + 3.1 =

5.4

Multiple Choice

Numbers that are greater than zero and to the right of zero on the number line

• integers

• opposite numbers

• positive numbers

• negative numbers

Multiple Choice

Numbers that are less than zero and located to the left of zero on the number line

• positive numbers

• negative numbers

• integers

• signed numbers

Fill in the Blanks

Solve. (Remember to visualize the number line)

-5 + 4 =

Starting at -5 and ADDING 4 will make me count to the RIGHT.

Moving to the right positive 4 from -5

​-5

-5 + 4 =

​0

​+4

​-1

Fill in the Blanks

Solve. (Remember to visualize the number line)

-3 - (-4) =

Starting at -5 and ADDING 4 will make me count to the RIGHT.

Moving to the right positive 4 from -5

​-3

-3 - (-4) =

​0

​+4

​1

Multiple Choice

What is the value of (-4) + 8 - 5 ?

• -1

• 1

• 7

• -9

Multiple Choice

Tamara is able to jump 17.6 feet. The world record in the long jump is 39.3 feet. What is the difference between the world record and the distance that Tamara can jump?

• 21.7

• 20.7

• 31.7

• 32.7

Fill in the Blanks

Timmy saved up $175.25. He went to Gamestop and bought a new video game for $66.53, he then went to his buddy Bob's house and Bob paid Timmy back the $10.00 he borrowed. How much money does Timmy have left? Include the $ sign in your answer.

​Adding and Subtracting Fractions

STEP 1:

Find a COMMON DENOMINATOR

STEP 2:

ADD the NUMERATORS

STEP 3:

REDUCE your ANSWER

Multiple Choice

$$\frac{1}{3}$$  +  $$\frac{1}{2}$$  =

• $$\frac{6}{7}$$  

• $$\frac{2}{6}$$  

• $$\frac{3}{5}$$  

• $$\frac{5}{6}$$  

Multiple Choice

$$\frac{8}{9}\ -\ \frac{1}{3}\ =\$$  

• $$\frac{7}{6}$$  

• $$\frac{5}{9}$$  

• $$\frac{2}{3}$$  

• $$\frac{8}{27}$$  

Multiple Choice

$$\frac{1}{5}\ and\ \frac{5}{6}$$  What number could be a common denominator for these two fractions:

• 30

• 11

• 6

• 12

Multiple Choice

What is  $$\frac{8}{9}$$  -  $$\frac{5}{6}$$ =  ?

• $$\frac{6}{7}$$  

• $$\frac{3}{4}$$  

• $$\frac{1}{18}$$  

• $$\frac{10}{12}$$  

Multiple Choice

$$\frac{1}{7\ }+\ \frac{3}{14}$$  =

• $$\frac{2}{7}$$  

• $$\frac{1}{7}$$  

• $$\frac{5}{14}$$  

• $$\frac{3}{14}$$  

Multiple Choice

$$\frac{5}{6}-\ \frac{1}{4}$$  =

• $$\frac{7}{12}$$  

• $$2$$  

• $$\frac{1}{2}$$  

• $$\frac{3}{4}$$