Georgia 5.NR.1.2
The Standard
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.
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 multiply and divide numbers by 10, 100, and 1,000. They explain how each digit’s place and value change, and write these factors as powers of 10.
What Mastery Looks Like
- Students correctly calculate products and quotients involving 10, 100, and 1,000. They use exponent notation and explain how each digit’s value changes by place.
Common Misconceptions
- Students may reverse the direction of the place-value change when multiplying or dividing. They may treat 10³ as 30 or append zeros without considering a decimal point.
How to Assess It
- Ask students to solve 6.04 × 10² and 604 ÷ 10³, then explain how one digit’s value changed in each equation.
Lesson moves
Ways to Teach It
Build 3.47 with digit cards on a place-value mat, then multiply by 10, 100, and 1,000 and track each digit.
Write an explanation for why 5.2 × 10² equals 520, naming the changing value of each digit.
Match equation cards, answer cards, and power-of-ten cards in a timed partner game, then justify each match.
Convert distances such as 2.4 kilometers to meters, and write the power of 10 used in each conversion.
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Printable 5.NR.1.2 Worksheet
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Related Standards
- 4.NR.1
Recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers throu...
- 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.1.1
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...
- 3.PAR.3.5
Use place value reasoning and properties of operations to multiply one-digit whole numbers by multiples of 10, in the range 10-90.
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