NY Next Generation Math NY-4.NF.7
The Standard
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare decimals through hundredths that refer to the same whole. They use >, =, or < and justify comparisons with place value reasoning.
What Mastery Looks Like
- The student identifies 0.62 > 0.6 by renaming 0.6 as 0.60. The student explains the comparison with a grid, number line, or place value argument.
Common Misconceptions
- Students may think the decimal with more digits is always larger. They may compare tenths and hundredths as whole numbers without aligning place values.
How to Assess It
- Ask students to compare 0.7 and 0.68 using a symbol and a hundred-grid or place value explanation.
Lesson moves
Ways to Teach It
Build decimal pairs on hundred grids and place the correct comparison symbol between them.
Ask students why 0.45 is less than 0.5 even though 45 is greater than 5.
Play Decimal War with cards limited to tenths and hundredths.
Compare two prices below one dollar and justify which amount is greater using cents.
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Printable NY-4.NF.7 Worksheet
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Related Standards
- NY-2.NBT.4
Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
- NY-4.NF.2
Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same w...
- NY-3.NF.3.d
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons rely on the two fractions referr...
- NY-5.NBT.3.b
Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
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