Montana Math MT.7.NS.3
The Standard
Write any rational number as a fraction, decimal, and percent using long division, and know that the decimal form of a rational number terminates or repeats.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write rational numbers as fractions, decimals, and percents. They use long division to turn fractions into decimals and check whether the remainder reaches zero or repeats.
What Mastery Looks Like
- Given 5/6, a student writes 0.8333... and 83.333...%. They show the long division, point out the repeated remainder, and explain why the decimal repeats.
Common Misconceptions
- Students may treat 0.67 as exactly 2/3, even though it is rounded. They may write 0.6 for 2/3 after one division step or move the decimal only one place when finding a percent.
How to Assess It
- Exit ticket: Use long division to write 5/6 as a decimal and a percent. Circle the repeated remainder and state whether the decimal stops or repeats.
Lesson moves
Ways to Teach It
Have students mark thirds and fourths on 12-centimeter paper strips, shade one part, then use long division to label each share with a decimal and percent.
Ask pairs: Why does 1 ÷ 3 keep going while 1 ÷ 4 stops? Have them compare the remainders in their long division.
Give pairs fraction, decimal, and percent cards for 1/2, 2/3, 3/8, and 5/6; they divide and race to match trios.
Three friends split a $12 pizza equally; have students write each person's share of the bill as a fraction, decimal, and percent.
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Printable MT.7.NS.3 Worksheet
A ready-to-print activity worksheet aligned to MT.7.NS.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MT.4.NBT.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, flexibly using strategies based on place value, the propertie...
- MT.8.NS.1
Know real numbers are made up of rational and irrational numbers, understand informally that every number has a decimal expansion, and convert a decimal expansi...
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