Divide Rational Numbers
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Warm Up
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Divide Rational Numbers
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Warm Up
6
21.6
28
0.33
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Divide Rational Numbers
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Standards for Mathematical Content
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Divide Rational Numbers
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7.NS.A.2.C
Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
7.NS.A.1.D
Apply properties of operations as strategies to add and subtract rational numbers.
Standards for Mathematical Content
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Divide Rational Numbers
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Standards for Mathematical Content
McGraw Hill |
Divide Rational Numbers
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7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Standards for Mathematical Content
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Divide Rational Numbers
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Standards for Mathematical Practice
MP1
Make sense of problems and persevere in solving them.
MP2
Reason abstractly and quantitatively.
MP3
Construct viable arguments and critique the reasoning of others.
MP4
Model with mathematics.
MP6
Attend to precision.
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Divide Rational Numbers
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Lesson Goal
Students will apply understanding of division to rational numbers, and use the order of operations to solve real-world problems.
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Divide Rational Numbers
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Learn�Divide Rational Numbers
McGraw Hill |
Divide Rational Numbers
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Learn�Divide Rational Numbers
Dividing Rational Numbers
Steps | Example |
1. Rewrite the division as multiplication by the reciprocal. | |
2. Multiply. 3. Identify the quotient. | |
|
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Divide Rational Numbers
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Learn�Divide Rational Numbers
Talk About It!
Why is the reciprocal of a fraction with 1 in the numerator an integer?
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Divide Rational Numbers
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Example 1�Divide Rational Numbers
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Divide Rational Numbers
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Example 1�Divide Rational Numbers
| Multiply by the multiplicative inverse. |
| Divide by common factors. |
| Simplify. |
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Divide Rational Numbers
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Example 1�Divide Rational Numbers
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Divide Rational Numbers
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Example 1�Divide Rational Numbers
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Divide Rational Numbers
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Example 2�Divide Rational Numbers
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Divide Rational Numbers
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Example 2
Divide Rational Numbers
Think About It!
Before you divide the two rational numbers, what do you need to do?
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Divide Rational Numbers
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Example 2
Divide Rational Numbers
| Rewrite the decimal as a mixed number. |
| Multiply by the multiplicative inverse. |
| Divide by common factors. |
| Simplify. |
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Divide Rational Numbers
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Example 2
Divide Rational Numbers
Talk About It!
How do you know the quotient will be a positive number before you divide?
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Divide Rational Numbers
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Example 2
Divide Rational Numbers
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Divide Rational Numbers
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Example 2
Divide Rational Numbers
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Divide Rational Numbers
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Learn�Divide Rational Numbers
When dividing rational numbers written in different forms, write the factors in the same form.
Words | Example | |
| ||
If the fractions or mixed numbers are decimals that terminate, use decimals or fractions to divide. | | |
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Divide Rational Numbers
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Learn�Divide Rational Numbers
Words | Example | |
| ||
If the fractions or mixed numbers are decimals that repeat nonzero digits, use fractions to divide. | | |
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Divide Rational Numbers
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Pause and Reflect�
Are you ready to move on to the next Example? If yes, what have you learned that you think will help you? If no, what questions do you still have? How can you get those questions answered?
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
Think About It!
How will you decide whether to evaluate the expression with decimals or fractions?
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
Method 1 Evaluate with numbers as decimals.
Divide.
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
Method 2 Evaluate with numbers as fractions.
| |
| |
| Write the complex fraction as a division problem. |
| Multiply by the multiplicative inverse. |
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
| Divide by common factors. |
| Multiply the numerators and denominators. |
| Simplify. |
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
Talk About It!
Is it more advantageous to use one method over the other? Explain.
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
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Divide Rational Numbers
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Example 3
Divide Rational Numbers
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Divide Rational Numbers
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Apply�Finance
Month | Gain/Loss per Share |
January | |
February | |
March | |
April | |
May | |
June | |
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Divide Rational Numbers
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Apply�Finance
Talk About It!
How do you find the average change of the value of her shares?
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Divide Rational Numbers
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Apply�Finance
Check
The student council is selling lollipops to fund the upcoming school dance. The table shows their results over five weeks.
What was the average amount of money the student council earned each week?
Week | Profit ($) |
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| |
| |
| |
McGraw Hill |
Divide Rational Numbers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Apply�Finance
Check
The student council is selling lollipops to fund the upcoming school dance. The table shows their results over five weeks.
What was the average amount of money the student council earned each week?
Week | Profit ($) |
| |
| |
| |
| |
| |
McGraw Hill |
Divide Rational Numbers
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Exit Ticket
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Divide Rational Numbers
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Exit Ticket
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Divide Rational Numbers
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