Georgia 5.NR.1.1
The Standard
Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Georgia's K-12 Mathematics Standards · Use place value understanding to solve real-life, mathematical problems.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare the value of the same digit when it appears in neighboring places. They explain the relationship using words, place-value models, multiplication, and division.
What Mastery Looks Like
- Students identify the value of repeated digits in whole numbers and decimals. They explain each relationship with multiplication or division by 10 and support it with an equation or place-value model.
Common Misconceptions
- Students may think a digit keeps the same value wherever it appears. They may reverse the relationship, saying a place to the right is 10 times greater instead of one tenth as great.
How to Assess It
- Give students 6.66 and ask, “How does the value of each 6 compare with the 6 to its right?” Require equations and words.
Lesson moves
Ways to Teach It
Build numbers with place-value disks, then move one disk left or right and record how its value changes.
Ask students to explain why the two 4s in 44.4 have different values, using words and equations.
Play a card game where students place the same digit in two columns, then state the value relationship to earn a point.
Compare prices such as $5.50 and $0.55, and have students explain how the value of each 5 changes by place.
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Printable 5.NR.1.1 Worksheet
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Related Standards
- 2.NR.1.1
Explain the value of a three-digit number using hundreds, tens, and ones in a variety of ways.
- 1.NR.1.2
Explain that the two digits of a 2-digit number represent the amounts of tens and ones.
- 4.NR.1.2
Recognize and show that a digit in one place has a value ten times greater than what it represents in the place to its right and extend this understanding to de...
- 5.NR.1.2
Explain patterns in the placement of digits when multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10, up to 10³.
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