Students convert between fractions and decimal to gain a depper understanding of rational numbers.
Students will use long division to convert rational numbers into decimals. Working the division out by hand will help students understand terminating and repeating decimals. Many students are too trusting of their calculators, and they believe 2/3 is equivalent to 0.6666666667 and think 1/7 does not repeat. Although long division is tedious, it is critical to building knowledge of rational numbers.
I use this activity when we begin studying rational and irrational numbers. The exercise will give students a conceptual basis for understanding why repeating and terminating decimals are always rational.
You will receive PDFs of the fraction conversion sheet, a learning check (exit ticket or quiz), and the answer key.
Common Core Standards:
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.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Thank you for your interest in this resource from Rise over Run.
Rational and Irrational Puzzle
Rational and Irrational Vocabulary