Georgia 5.NR.4.1
The Standard
Read and write decimal numbers to the thousandths place using base-ten numerals written in standard form and expanded form.
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 identify the value of each digit in a decimal through the thousandths place. They move between a numeral, its number name, and an addition expression showing each place value.
What Mastery Looks Like
- A student can read 7.402 as seven and four hundred two thousandths and write it from spoken words. They can expand it as 7 + 0.4 + 0.002 and keep zero placeholders correct.
Common Misconceptions
- Students may confuse tenths, hundredths, and thousandths or ignore zeros that hold a place. They may expand 5.204 as 5 + 0.2 + 0.04 instead of 5 + 0.2 + 0.004.
How to Assess It
- Exit ticket: Write 42.508 in words and expanded notation, then circle the digit worth eight thousandths.
Lesson moves
Ways to Teach It
Give pairs a place-value mat and digit cards; call out three and forty-two thousandths for them to build and record.
Ask students to explain in writing how the zeros change the values of 4.006 and 4.060.
Play a matching game with cards showing numerals, number names, and expanded notation for the same decimal.
Label metric measurements such as 1.375 liters, then have students write each measurement in words and expanded notation.
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Printable 5.NR.4.1 Worksheet
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Related Standards
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Read and write multi-digit whole numbers to the hundred-thousands place using base-ten numerals and expanded form.
- 5.NR.4
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- 3.NR.1.1
Read and write multi-digit whole numbers up to 10,000 to the thousands using base-ten numerals and expanded form.
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