## Advanced Real World Math Operations

#### Aligned To Common Core Standard:

**Grade 7 Number Systems** - 7.NS.A.3

What are the four operations with rational numbers? As you already know what rational numbers are, it is time to understand how you apply the basic mathematical operations on rational numbers. Some operations can be carried out easily with the rational numbers. We will be looking at the four basic operations for rational numbers, which are: multiplication, division, addition, and subtraction. Here are some of the examples:
A rational number is usually in the form of: **P/Q**- P is a numerator, and Q is the denominator where Q can never be equal to 0.
**Addition:** In order to add rational numbers, you need to make sure that the denominator is always the same. Otherwise, the addition of the numerator will not be possible. If the two denominators are not the same you need to take out the LCM of all the denominators.
**Subtraction:** To carry out the subtraction, you need to carry out the same steps as the addition. You need to make sure that the denominator is always the same. Otherwise, the subtraction of the numerator will not be possible. If the two denominators are not the same you need to take out the LCM of all the denominators.
**Multiplication:** Multiplication with rational numbers is very easy. The numerators get multiplied with the numerators and the same is the case with the denominators. The simplification goes on until it is no further possible.
**Division:** In the case of division between two rational numbers, the second rational number is turned into the reciprocal, and then it is used in the same way as the multiplication is carried out.

### Printable Worksheets And Lessons

- PEMDAS Step-by-step
Lesson- Order of Operations to the extreme on this one. See
if you can figure out where it starts and ends.

- Guided Lesson -
Home loans, basketball hoops, and an awkward calculation. What could
be more everyday? (at least for a math teacher.)

- Guided Lesson Explanation
- I spaced out the steps for these very well.

- Practice Worksheet
- Let's review these skills with a wild bunch of questions.

- Matching Worksheet - This one can get a bit confusing, if you don't pay attention to the details.

#### Homework Sheets

Operations based problems followed by word problems and unit rates.

- Homework 1 - We do basic operations with the acronym PEMDAS. The first letter (left to right) indicates the first operation and We proceed from there.
- Homework 2 - Mason decides to save $35 a week for the entire year. How much will he have saved?
- Homework 3 - Jessica bounces a ball 30 times in 15 seconds. How many times will she bounce a ball in one second?

#### Practice Worksheets

Make sure that students understand the difference between brackets and parenthesis in relation to operations.

- Practice 1 - Find the final value of each set of operations.
- Practice 2 - William has to travel for his company. The company pays $45 per month for his gas. How much money does the company pay for gas in a year?
- Practice 3 - Matthew hit a ball 30 times in 15 minutes. How many times can he hit a ball in one minute?

#### Math Skill Quizzes

The quizzes mimic what you saw in the other sheets.