## Understanding Division of Integers

#### Aligned To Common Core Standard:

**Grade 7 Number Systems** - 7.NS.A.2b

How to determine if a quotient's value is negative? Surprisingly, many students struggle to identify whether the value of the quotient is negative or positive. It is one of the basics of mathematics but is not often discussed or debated among the students. The sign of the quotient depends on the division of integers, which is similar to the whole number division (both positive). Except, the sign of the quotient should be determined. - If both the dividend and the divisor are of positive value, the quotient, in that case, will be positive as well. - If both the dividend and the divisor are of negative value, the quotient, in that case, will be positive. If one of them is negative and the other one is positive, then the quotient, in that case, will be negative.

### Printable Worksheets And Lessons

- Negative Division Step-by-step
Lesson- Divide two negatives and work on a cookie based word
problem.

- Guided Lesson - We
align division problems for you in many different ways. See if you
fit that cake into containers.

- Guided Lesson Explanation
- The cake calculation is something I find myself doing at dinner
time almost everyday. Just not with cake.

- Practice Worksheet - We arrange these problems in every way imaginable and throw in a few word problems to boot.

- Multiplying and Dividing Integers Five Worksheet Pack - Complete the problems by plugging in the missing numbers.

- Matching Worksheet - The threes might throw your students here. This one may not be an easy "A" for them.

#### Homework Sheets

We hit these from all levels: straight division, word problems, and implied division.

- Homework 1 - There are certain rules for dividing integers. We will explore the two core rules over this series of homework sheets.
- Homework 2 - Rule 1: The quotient of a positive integer and a negative integer or vice versa is a negative integer.
- Homework 3 - Rule 2: The quotient of two negative integers or two positive integers is a positive integer.

#### Practice Worksheets

Why not throw a little fraction division in there too!

- Practice 1 - Miley purchased 2/4 of a pound of coffee for her family. She has to divide it equally among 6 family members. How many pounds of coffee did Miley give to each member?
- Practice 2 - A painter use 5/8 of a can of acrylic colors to paint 10 canvases. How much acrylic colors did he use to paint each canvas, assuming he used the paint equally?
- Practice 3 - Taylor wants to eat peanuts. He purchases 3/5 of a pound of peanuts. He wants to share them equally between 12 friends. How many pounds of peanuts did Taylor gave to each friend?

#### Math Skill Quizzes

In your progression through the year, these quizzes should fit perfectly!

- Quiz 1 - Example problem: 3 x 4 + 5 x 6 = 6 (5 + _____ ). You are tasked with finding the missing value.
- Quiz 2 - Rex throws party at his house. He invited 200 guests. He ordered pizza. If each guest can eat 2/4 of the pizza how many people will 10 pizzas feed?
- Quiz 3 - The easy problem: Divide the integers: 100 รท 4. The more difficult problems will require up to three steps. A great overview of basic algebra skills.