Convert 1/2 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
CCSS 7.NS.A.2d · terminating & repeating decimals
Convert Rational Numbers to Decimals Worksheets
Convert a rational number to its decimal form and classify the result as terminating or repeating. Repeating blocks are detected from exact long-division remainders rather than a floating-point approximation.
Live worksheet preview
Rational Numbers as Decimals
Terminating & repeating decimals · Grade 7 standard · Seed 271701
1.
2.
Convert 3/2 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
3.
Convert 2/3 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
4.
Convert 8/5 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
5.
Convert 4/9 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
6.
Convert -5/4 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
7.
Convert 3/4 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
8.
Convert 4/3 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
9.
Convert 33/25 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
10.
Convert 1/3 to a decimal using division. State whether the decimal terminates or repeats.
Decimal: __________ Terminates / Repeats
Exact-construction rule: operations use normalized integer numerator/denominator pairs, number-line positions use exact ticks, repeating decimals come from remainder cycles, and money contexts use exact cents. No answer depends on binary floating-point rounding.
Teaching note 1
A remainder of zero means the decimal terminates.
Teaching note 2
When a previous remainder repeats, the decimal digits from that point repeat in a cycle.
Teaching note 3
In this generator, parentheses mark the repeating block: 0.1(6) means 0.1666… .
Continue the 7.NS progression
Move to another Grade 7 rational-number skill
More skills in this set
Frequently asked questions
How are repeating decimals written?
Parentheses mark the repeating block, such as 0.(3) for 0.333… or 0.1(6) for 0.1666… .
Does the tool guess from denominator patterns?
No. It performs exact remainder tracking, the same structure used in long division.