Georgia 4.NR.1.2
The Standard
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 determine the value of a digit when it is shifted to the left or right, based on the relationship between multiplication and division.
Georgia's K-12 Mathematics Standards · Recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers through the hundred-thousands place and compare decimal numbers to the hundredths place.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare the value of the same digit in different places. They explain each move left as multiplying by 10 and each move right as dividing by 10.
What Mastery Looks Like
- Students correctly state that moving a digit one place left multiplies its value by 10, while moving it right divides its value by 10. They support comparisons with equations, models, or words.
Common Misconceptions
- Students may think moving a digit changes the digit itself rather than its value. They may reverse the rule and multiply when moving right. Some add or remove zeros without explaining the place-value relationship.
How to Assess It
- Give students the number 63,000 and ask them to compare the values of the 6 and 3. Then ask what happens to the 6's value if it moves one place right.
Lesson moves
Ways to Teach It
Use place-value disks to model 4,000, then move the 4 one place right and record how its value changes.
Ask, “Why is the 7 in 70,000 worth ten times the 7 in 7,000?” Students explain with an equation.
Play a card game where students draw a digit and two places, then compare the digit’s values for a point.
Show a town population of 44,000 and have students explain how the two 4s represent different numbers of people.
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Printable 4.NR.1.2 Worksheet
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Related Standards
- 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...
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- 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.2.3
Solve relevant problems involving multiplication of a number with up to four digits by a 1-digit whole number or involving multiplication of two two-digit numbe...
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