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Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Examples, solutions, worksheets, videos, and lessons to help Grade 7 students learn how to apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If*p* and *q* are integers, then –(*p*/*q*) = (–*p*)/*q* = *p*/(–*q*). Interpret quotients of rational numbers by describing real-world contexts.

Common Core: 7.NS.2b

### Suggested Learning Targets

**Dividing Rational Numbers**

How to divide rational numbers (fractions and decimals)?

**Division of Rational Numbers**

Examples:

1. Find the multiplicative inverse of each of the following.

(a) 100

(b) 2/8

(c) - 19/21

(d) 7

(e) -z^{3}/(2xy^{2})

2. Divide the following rational numbers, be sure that your answer is in the simplest form.

3. The world's largest trench digger, "Bagger 288", moves at 3/8 mph. How long will it take to dig a trench 2/3 mile long?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If

Common Core: 7.NS.2b

- I can use the division rules for integers and apply them to dividing decimals and fractions.
- I can explain that integers can be divided provided that the divisor is not zero.
- I can explain and recognize that a negative fraction can be written as a negative numerator and positive denominator or as a positive numerator and negative denominator.
- I can interpret quotients of rational numbers in real world contexts.
- I can create an equivalent mathematical expression when given an expression by using the properties of operations.
- I can identify equivalent expressions when given two or more expressions.

How to divide rational numbers (fractions and decimals)?

Examples:

1. Find the multiplicative inverse of each of the following.

(a) 100

(b) 2/8

(c) - 19/21

(d) 7

(e) -z

2. Divide the following rational numbers, be sure that your answer is in the simplest form.

3. The world's largest trench digger, "Bagger 288", moves at 3/8 mph. How long will it take to dig a trench 2/3 mile long?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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