Grade 4Mathmedium
Place Value Practice
Place Value Practice — Place Value worksheet for Grade 4.
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What Your Child Will Learn
- Identify the value of digits in numbers up to 10,000 by correctly naming the place (ones, tens, hundreds, thousands) and its corresponding value
- Decompose multi-digit numbers into expanded form by separating each digit's place value contribution (e.g., 3,247 = 3,000 + 200 + 40 + 7)
- Compare and order numbers using place value understanding to determine which digit in each place determines the greater or lesser value
- Apply place value knowledge to solve word problems that require regrouping, trading, or comparing quantities across different place values
How to Use This Worksheet
- Step 1: Review the place value chart with your student before beginning. Point to each column and have them say aloud: 'thousands, hundreds, tens, ones.' Use a sample number like 3,562 and identify each digit's place value together.
- Step 2: Work through the first 2-3 problems as a guided practice with your student. Model your thinking: 'I see the digit 8 in the hundreds place, which means 8 hundreds or 800.' Have them explain the next problem back to you.
- Step 3: Allow independent work on problems 4-7. Circulate or check in to ensure they're using a place value chart, writing out expanded form correctly, or comparing digits in the same place value column when ordering numbers.
- Step 4: Use problems 8-10 as formative assessment. These typically involve multi-step thinking or word problems. If your student struggles, pause and reteach using manipulatives before moving forward.
- Step 5: After completion, have your student explain one of their answers using the vocabulary: 'place value,' 'digit,' 'value,' 'thousands/hundreds/tens/ones.' This oral explanation reveals whether they truly understand or are just following a procedure.
Tips for Parents & Teachers
Use a place value chart or base-ten blocks during this worksheet to make the abstract concept concrete. Fourth graders often confuse the place (tens, hundreds) with the digit itself—physically manipulating blocks or pointing to a chart helps them see that 30 means 3 tens, not just 'the number 30.'
Watch for the common mistake of reading place value backwards. Some students say '4 in the thousands place' when they mean '4 thousands,' which is actually correct but can indicate incomplete understanding. Emphasize saying '4 in the thousands place equals 4,000' to strengthen the connection.
When working through problems with numbers like 2,045, students often forget about the zero in the tens place or think it 'means nothing.' Explicitly discuss that zeros act as placeholders and are essential—2,045 is very different from 245, and the zero keeps the 5 in the ones place and the 4 in the tens place.
Break longer numbers into chunks of three digits from right to left (ones, tens, hundreds grouping with thousands). This chunking strategy helps Grade 4 students manage the cognitive load of understanding four-digit numbers without getting lost in the individual digits.
Frequently Asked Questions
Why is my fourth grader confusing 'the digit' with 'the place value'? For example, they say 'the number is 5' instead of 'the digit 5 is in the hundreds place, so its value is 500.'
This is a very common developmental stage for Grade 4. Students are learning to separate the digit (the symbol) from its position (the place) and its value (what it means). Use language precisely: 'The digit is 5' AND 'the place is hundreds' AND 'the value is 500.' Reinforce this with visual aids and repeated exposure. Avoid assuming they understand until they can explain all three components independently.
My student can do place value worksheets fine but gets confused when word problems ask questions like 'How many tens are in 340?' Should I be concerned?
This shows they're ready for the next level of place value thinking—moving from identifying place value to reasoning about regrouping and decomposition. 340 has 34 tens (not just 4 tens). Use base-ten blocks or bundling activities to show that 340 ones can be grouped into 34 bundles of 10. This bridges to future division and regrouping concepts.
How can I help my student understand why zeros matter in place value, like why 102 is different from 12?
Use a place value chart side-by-side for both numbers. Show that 102 has a 1 in the hundreds place (100), a 0 in the tens place (0), and a 2 in the ones place (2), totaling 102. In contrast, 12 has no hundreds place entry, a 1 in the tens place (10), and a 2 in the ones place (2), totaling 12. The zero is a placeholder that holds the tens position open, which completely changes the number's value.
Should my Grade 4 student be able to work with numbers larger than 9,999 (five or more digits)?
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