Long Division to Write Fractions as Decimals
Written by Adi Ackerman, Head Teacher
"Long Division to Write Fractions as Decimals" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.2.D. 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: use long division to write fractions like 3/20 and negative 4/9 as decimals with bars over repeating digits. Answer key included. Part of our rational numbers as decimals collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Long Division to Write Fractions as Decimals, then use Terminating or Repeating Decimals to name the patterns. Finish with the ordering sheet, which needs a number line.
What students will practice
- Students will use long division to write fractions as decimals.
- Students will draw a bar over the digits that repeat.
- Students will make the decimal negative when the fraction is negative.
Curriculum Links
Common Core State Standards
The Number System · 7th Grade
Standard: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
View all 7.NS.A.2.D worksheets →Find this in the curriculum
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FAQ
How do I use this rational numbers as decimals worksheet?
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Start with Long Division to Write Fractions as Decimals, then use Terminating or Repeating Decimals to name the patterns. Finish with the ordering sheet, which needs a number line.
What does this worksheet teach?
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Use long division to write fractions like 3/20 and negative 4/9 as decimals with bars over repeating digits. The directions on the page read: Use long division to write each fraction as a decimal on the line. If the fraction is negative, make the decimal negative. Draw a bar over the digits that repeat. An answer key is included.
Can I use this rational numbers as decimals 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 write a fraction as a decimal?
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Divide the numerator by the denominator with long division. If the fraction is negative, make the decimal negative. Long Division to Write Fractions as Decimals sets up each division for students.
What is a repeating decimal?
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It is a decimal whose digits repeat forever, written with a bar over the repeating digits, as in 2/3. Terminating or Repeating Decimals asks students to circle which kind each fraction gives.
How do you order rational numbers?
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Write each as a decimal, compare them and place them from least to greatest. Order Rational Numbers After Converting to Decimals also has students plot each point on a number line.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Rational Numbers |
| Standard | 7.NS.A.2.D |
| Pages | 1 page |
| Difficulty | Medium |
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