Multiply and Divide Signed Mixed Numbers
Written by Adi Ackerman, Head Teacher
"Multiply and Divide Signed Mixed Numbers" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.2.C. A 6th grader who is already steady on rational numbers can use it too, and an older student can use it as a short review.
7th grade math worksheet: change signed mixed numbers to fractions, then multiply and divide, like negative 4 1/2 by negative 2 2/3. Answer key included. Part of our multiply and divide mixed numbers with signs collection. Aligned to Common Core standards.
How do I use this worksheet?
Use the first sheet to teach the conversion step and the second as a stretch task. Ask students to show their work for every problem.
What students will practice
- Students will change negative and positive mixed numbers to improper fractions.
- Students will multiply and divide the fractions and decide the sign of each answer.
- Students will write each answer in simplest form, as a mixed number when needed.
Curriculum Links
Common Core State Standards
The Number System · 7th Grade
Standard: Apply properties of operations as strategies to multiply and divide rational numbers.
View all 7.NS.A.2.C worksheets →Find this in the curriculum
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FAQ
How do I use this multiply and divide mixed numbers with signs worksheet?
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Use the first sheet to teach the conversion step and the second as a stretch task. Ask students to show their work for every problem.
What does this worksheet teach?
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Change signed mixed numbers to fractions, then multiply and divide, like negative 4 1/2 by negative 2 2/3. The directions on the page read: Change each mixed number to an improper fraction, then multiply or divide. Show your work and write the answer in simplest form, using a mixed number if needed. An answer key is included.
Can I use this multiply and divide mixed numbers with signs worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade rational numbers, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you multiply mixed numbers with negatives?
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Change each mixed number to an improper fraction, multiply and then decide the sign. Two negative factors give a positive product. The sheet asks students to show their work and write the answer in simplest form.
How do you divide signed mixed numbers?
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Change each to an improper fraction, multiply by the reciprocal of the divisor and simplify. Multiply and Divide Signed Mixed Numbers includes problems such as negative 4 1/2 divided by negative 2 2/3.
What if a problem has three numbers?
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Work from left to right, and change mixed numbers and whole numbers to fractions first. Multiply and Divide Signed Fractions and Mixed Numbers uses chains like negative 6 divided by negative 2 7/8 times negative 1/2.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Rational Numbers |
| Standard | 7.NS.A.2.C |
| Pages | 1 page |
| Difficulty | Medium |
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