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Recurring and Terminating Decimals WORKSHEET

Suitable for Grades: 7th Grade
CCSS: 7.NS.A.2.D
CCSS Description: 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.

Recurring and Terminating Decimals WORKSHEET DESCRIPTION

This worksheet takes students through a small investigation into identifying whether fractions are equivalent to recurring or terminating decimals.

In section A, students will use their calculators to find the decimal equivalents of 6 fractions and then sort these into recurring or terminating decimals.

Next, section B asks learners to find the prime factorization of each of the denominators of the fractions and to see if they can spot the difference between denominators in terminating and recurring decimals.

Now students put their theory to the test by identifying recurring and terminating decimal equivalents from a list of 9 fractions.

Finally, stretch learners further by asking them to consider if all fractions with the same denominator will behave in the same manner.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Frequently Asked Questions

Students should be comfortable with basic fraction concepts and know how to use a calculator to divide numbers. They'll also need to understand what prime factorization means and how to break down numbers into their prime factors, since this concept is central to discovering the pattern between denominators and decimal types.