NY Next Generation Math NY-4.NF.5

Math4th GradeUnderstand decimal notation for fractions, and compare decimal fractions.

The Standard

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students rename tenths as equivalent hundredths and use that equivalence to add tenths and hundredths. They represent the sum with fractions or a grid.

What Mastery Looks Like

The student rewrites 3/10 as 30/100 and finds 3/10 + 27/100 = 57/100. The student explains why multiplying numerator and denominator by 10 preserves value.

Common Misconceptions

Students may add unlike denominators directly or change only the denominator. They may treat 3/10 as 3/100 because both use decimal place names.

How to Assess It

Ask students to solve 4/10 + 36/100 using an equivalent fraction. Require a hundred-grid model and equation.

Lesson moves

Ways to Teach It

  1. Shade 4/10 on one hundred grid, rename it as hundredths, then add 23/100.

  2. Ask students why 7/10 equals 70/100 rather than 7/100.

  3. Play Tenths-to-Hundredths Match with fraction cards and shaded grids.

  4. Combine 0.6 meter and 0.27 meter ribbon lengths by first expressing both as hundredths.

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Printable NY-4.NF.5 Worksheet

Preview of the NY-4.NF.5 printable worksheet

A ready-to-print activity worksheet aligned to NY-4.NF.5, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

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