Grade 4Mathmedium
Grade 4 Place Value Practice - Medium Level
This worksheet covers understanding digit values in multi-digit numbers, including standard form, expanded form, and word form up to millions.
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What Your Child Will Learn
- Identify the value of digits in numbers up to the millions place, including understanding that 6 in 6,234,567 represents 6,000,000
- Convert multi-digit numbers between standard form (4,567,890), expanded form (4,000,000 + 500,000 + 60,000 + 7,000 + 800 + 90), and word form (four million, five hundred sixty-seven thousand, eight hundred ninety)
- Compare and order multi-digit numbers up to millions by analyzing place values systematically from left to right
- Apply place value understanding to round multi-digit numbers to the nearest ten thousand, hundred thousand, or million
How to Use This Worksheet
- Step 1: Review the place value chart together, pointing out the millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones places before starting the worksheet
- Step 2: Work through the first 2-3 problems together, modeling how to identify digit values by asking 'What place is this digit in?' and 'What is its value?'
- Step 3: Have the student complete 4-5 problems independently while you observe, providing guidance on reading numbers in chunks of three digits from right to left
- Step 4: Check answers together for the completed problems, focusing on any errors in place value identification or form conversions
- Step 5: Allow the student to finish the remaining problems independently, then review any challenging problems that involved larger numbers or multiple form conversions
Tips for Parents & Teachers
Use a place value chart with columns labeled from ones to millions when working through problems - many students at this level confuse hundred thousands with hundreds of thousands, so emphasize the single place value positions
When converting to word form, teach students to read numbers in groups of three digits from right to left (ones, thousands, millions) and remind them that 'and' is not used in whole numbers - 2,345,678 is 'two million, three hundred forty-five thousand, six hundred seventy-eight'
For expanded form problems, encourage students to write zeros as placeholders first (2,304,050 = 2,000,000 + 300,000 + 0 + 4,000 + 0 + 50 + 0) before simplifying to help them see each place value clearly
Address the common mistake of reading 1,234,567 as 'one thousand, two hundred thirty-four thousand' by having students cover groups of three digits and practice reading each group separately
Frequently Asked Questions
My child keeps confusing hundred thousands with hundreds - how can I help them remember the difference?
Use a place value chart and emphasize that hundred thousands is ONE place to the left of ten thousands, while hundreds is much further right. Practice with numbers like 300,000 (three hundred thousand) versus 300 (three hundred) to show the dramatic difference in value.
Why does my 4th grader struggle with writing numbers in word form when they can read them fine?
Reading and writing use different skills. For writing word form, teach them to break numbers into three-digit groups (123,456,789 becomes 123 million, 456 thousand, 789), then write each group in words. Practice with smaller numbers first before moving to millions.
What's the best way to help my child understand expanded form with large numbers?
Start by having them write out ALL place values including zeros (like 2,000,000 + 0 + 30,000 + 0 + 500 + 60 + 7), then show them they can remove the zero addends. This helps them see every place value position clearly before simplifying.
My child gets overwhelmed by numbers in the millions - should they master smaller numbers first?
While they should be solid with thousands, 4th grade standards include millions. Use familiar contexts like population of cities or distances to make millions more concrete. Break million-digit numbers into smaller, manageable chunks of three digits each.
How can I tell if my child truly understands place value versus just memorizing patterns?
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