Georgia 5.NR.4.2
The Standard
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 the results of comparisons.
Georgia's K-12 Mathematics Standards · Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students connect each digit in a decimal to its place value through thousandths. They use that place value to represent, compare, and arrange decimals, then record comparisons with the correct symbol.
What Mastery Looks Like
- Given a decimal, the student can show it on a place-value chart and write it in expanded form. The student can accurately order several decimals and justify each comparison by naming the first place where the digits differ.
Common Misconceptions
- Students may think a decimal with more digits is always greater, so they claim 0.425 is greater than 0.5. They may ignore placeholder zeros or compare digits without matching place values. Some students also reverse the meaning of < and >.
How to Assess It
- Exit ticket: Place 0.507, 0.57, and 0.075 in least-to-greatest order, then complete 0.507 __ 0.57 and explain using place value.
Lesson moves
Ways to Teach It
Build decimals on a place-value mat with digit cards, then swap mats with a partner and compare the two numbers.
Ask, “Which is greater, 0.4 or 0.399, and why?” Students write a place-value explanation, then discuss.
Play Decimal War with decimal cards; partners compare cards, state the correct symbol, and keep both after giving a correct explanation.
Compare three runners’ race times measured to thousandths, then rank the finishes and explain why the lowest time wins.
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Printable 5.NR.4.2 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.
- 4.NR.5.3
Compare two decimal numbers to the hundredths place by reasoning about their size. Record the results of comparisons with the symbols >, =, or <, and justify th...
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