Addition and Subtraction of Integers and Rational Numbers

How can we use the number line and counters to model addition and subtraction of integers and the distance between two rational numbers?

Using the number line to model Addition and Subtraction

Integers by the Sea

As a class, draw picture, then students answer questions.


Modeling addition and subtraction Integers - Counters

Understanding Addition and Subtraction of Integers and Other Rational Numbers

Addition and subtraction of fractions with like denominators

Adding and subtracting fractions with unlike denominators


1.  (-\frac{3}{2})+\frac{8}{5}


2. (-\frac{1}{5})+\frac{7}{4}


3. \frac{7}{4}-(-\frac{1}{2})


4. \frac{2}{5}-\frac{4}{5}



Combining rational numbers


1.   \frac{4}{5}-(-2\frac{1}{2})-2.8


2.   21\frac{9}{10}+5.1-(8\frac{1}{3})


3. 6 - (-2\frac{1}{2})-(1\frac{1}{10})


4.   60.5- (10\frac{1}{2})+(-50\frac{3}{7})



Assignment: Adding and Subtracting Rational Numbers Worksheet



Understanding adding and subtracting fractions can model real world situations


1. Jolene lost her wallet at the mall. It had $10 in it. When she got home her brother felt sorry for her and gave her
$5.75. Represent this situation with an expression involving rational numbers. What is the overall change in the amount of money Jolene has?






2. Doug wanted to go to the comic book store so he walked outside and to the bus stop  \frac{3}{4} of a mile from his house. He rode the bus for 4.2 miles to the transit mall downtown. He decided to grab a bite to eat at the sandwich shop \frac{3}{10} of a mile from the transit mall. After eating, he went back to the transit mall and took another bus 2.1 miles to the stop nearest the comic book store. He walked the remaining \frac{1}{4} mile to the store. Represent the distance traveled to the comic book store with an expression then simplify to find one rational number.





Formative Assessment