# 7.2 - Rational Operations

7.2   The student will solve practical problems involving operations with rational numbers.

### BIG IDEAS

• I will be able to determine ingredients needed for tripling a recipe, figure total cost after discounts, tips and sales tax, and track altitude patterns of airplanes to avoid crashes.
• I will be able to use and problem solve with quantities in daily life which are not whole numbers.

### UNDERSTANDING THE STANDARD

·  The set of rational numbers includes the set of all numbers that can be expressed as fractions in the form  where a and b are integers and b does not equal zero.  The decimal form of a rational number can be expressed as a terminating or repeating decimal. A few examples of rational numbers are: ,  , -2.3, 82, 75%, .

·  Proper fractions, improper fractions, and mixed numbers are terms often used to describe fractions.  A proper fraction is a fraction whose numerator is less than the denominator.  An improper fraction is a fraction whose numerator is equal to or greater than the denominator.  An improper fraction may be expressed as a mixed number. A mixed number is written with two parts:  a whole number and a proper fraction (e.g., 3). A fraction can have a positive or negative value.

·  Solving problems in the context of practical situations enhances interconnectedness and proficiency with estimation strategies.  Practical problems involving rational numbers in grade seven provide students the opportunity to use problem solving to apply computation skills involving positive and negative rational numbers expressed as integers, fractions, and decimals, along with the use of percents within practical situations.

### ESSENTIALS

• 7.21  Solve practical problems involving addition, subtraction, multiplication, and division with rational numbers expressed as integers, fractions (proper or improper), mixed numbers, decimals, and percents. Fractions may be positive or negative. Decimals may be positive or negative and are limited to the thousandths place.

### KEY VOCABULARY

Updated: Nov 20, 2018