Georgia 4.NR.5.3
The Standard
Compare two decimal numbers to the hundredths place by reasoning about their size. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
Georgia's K-12 Mathematics Standards · Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide which of two decimals is greater or whether they are equal. They use place value, models, or equivalent forms such as 0.6 and 0.60 to support their answer.
What Mastery Looks Like
- Students correctly compare decimals such as 0.47 and 0.5, including decimals with different numbers of digits. They use place value, equivalent decimals, or models to explain each choice.
Common Misconceptions
- Students may think 0.8 is less than 0.75 because 8 is less than 75. They may also think more decimal digits mean a larger number, or miss that 0.5 equals 0.50.
How to Assess It
- Give this exit ticket: Compare 0.6 and 0.58 using a symbol, then justify your answer with hundredths or a decimal model.
Lesson moves
Ways to Teach It
Give pairs decimal cards and hundred grids, then have students shade each value, compare the models, and place the correct symbol between them.
Ask students to explain in writing why 0.7 is greater than 0.67, using the words tenths and hundredths.
Play Decimal War with card pairs, where partners compare two decimals, state the correct symbol, and explain before keeping the cards.
Display prices such as $4.07 and $4.70, then ask students which costs more and how place value proves it.
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Printable 4.NR.5.3 Worksheet

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Related Standards
- 3.NR.1.2
Use place value reasoning to compare multi-digit numbers up to 10,000, using >, =, and < symbols to record the results of comparisons.
- 2.NR.1.3
Represent, compare, and order whole numbers to 1000 with an emphasis on place value and equality. Use >, =, and < symbols to record the results of comparisons.
- 4.NR.1.3
Use place value reasoning to represent, compare, and order multi-digit numbers, using >, =, and < symbols to record the results of comparisons.
- 5.NR.4.2
Represent, compare, and order decimal numbers to the thousandths place based on the meanings of the digits in each place, using >, =, and < symbols to record th...
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