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Quizzes > Mathematics > Basic Math & Arithmetic

Place Value Quiz: Test Your Number Sense!

Think you can ace this practice place value test? Dive in!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Teal background with paper art digits and blocks promoting a free place value quiz for math skill practice

Ready to master numbers? Perfect for students, educators, and math enthusiasts eager to sharpen their skills, our Ultimate Place Value Test offers a free place value quiz designed to challenge your number skills and deepen your understanding of place value. Whether you're brushing up with practice place value test rounds or tackling tricky place value questions, you'll get instant feedback and clear explanations that boost your number sense. Explore the core place value of whole numbers and expand to place value up to the hundred thousands . Test yourself now - click start and conquer every digit with confidence!

What digit is in the tens place of 3456?
4
6
5
3
In the number 3456, the place values from left to right are thousands (3), hundreds (4), tens (5), and ones (6). The digit in the tens place is therefore 5. Recognizing place positions is key to reading multi-digit numbers correctly. Learn more about place value.
What is the value of the digit 7 in the number 2,743?
700
70
7,000
7
In 2,743 the digits represent thousands, hundreds, tens, and ones respectively. The digit 7 is in the hundreds place, giving it a value of 700. Identifying the correct place helps you understand each digit's contribution. More on place value.
Which number has a 6 in the hundreds place?
4,356
6,753
3,465
5,637
In 5,637 the digits are 5 (thousands), 6 (hundreds), 3 (tens), and 7 (ones). The 6 is clearly in the hundreds position. The other numbers place 6 in thousands, tens, or ones. Check place values here.
In the number 89, what is the place value of the digit 8?
8
80
8,000
800
In a two-digit number like 89, the first digit represents tens and the second digit represents ones. Therefore, the digit 8 is worth eighty (80). Recognizing tens and ones builds a strong number sense. Learn more.
What is the digit in the ones place of 1,205?
0
1
2
5
In 1,205 the digits represent thousands (1), hundreds (2), tens (0), and ones (5). The ones place is the rightmost digit, which is 5. This is fundamental for understanding number structure. More on place value.
What is the value of the digit 3 in 3,012?
3
300
3,000
30
In 3,012 the digit 3 is in the thousands place, so it represents three thousand (3,000). Place value tells us the magnitude of each digit. Understanding place value.
Write 5,000 in expanded form.
500×10
5×1,000 + 0×100 + 0×10 + 0×1
5 + 0 + 0 + 0
50×100
Expanded form breaks a number into each digit times its place value. For 5,000, that is 5×1,000 + 0×100 + 0×10 + 0×1. This helps visualize each digit's contribution. More on expanded form.
What is the digit in the thousands place in 12,345?
2
1
4
3
In 12,345 the digits are 1 (ten-thousands), 2 (thousands), 3 (hundreds), 4 (tens), 5 (ones). The thousands place holds the digit 2. Review place values.
What digit is in the hundredths place in 4.528?
2
5
8
4
In 4.528, the decimal places from left to right are tenths (5), hundredths (2), and thousandths (8). Thus the hundredths place is occupied by 2. Learn more about decimal places.
What is the value of the digit 7 in 56.742?
0.7
0.07
7
70
In 56.742 the digits after the decimal represent tenths (7), hundredths (4), and thousandths (2). The 7 is in the tenths place, giving it a value of 0.7. More on decimals.
What is 3,045 in words?
Three thousand four hundred five
Three thousand and forty-five
Thirty thousand forty-five
Three thousand forty-five
The number 3,045 is read as 'three thousand forty-five.' The 'and' is not required in standard American usage. Understanding number names helps with reading and writing numerals. Number names guide.
Which number is written in expanded form as 4×1,000 + 3×100 + 5×10 + 2×1?
4,3252
43,52
4,352
4,532
Expanded form shows each digit multiplied by its place value. 4×1,000 + 3×100 + 5×10 + 2×1 equals 4,352 when summed. This method clarifies how each part forms the whole number. More on expanded form.
Compare the numbers 6.07 and 6.7. Which is greater?
Cannot determine
6.07
6.7
They are equal
To compare decimals, line up the digits by place value: 6.07 vs. 6.70. Since 0.70 is greater than 0.07, 6.7 is larger than 6.07. Comparing decimals explained.
What is the digit in the ten-thousands place in 89,654?
6
8
9
5
In 89,654 the digits are 8 (ten-thousands), 9 (thousands), 6 (hundreds), 5 (tens), and 4 (ones). The ten-thousands place is occupied by 8. Review place values.
What is the value of the digit 9 in 9,105?
90
9
900
9,000
In 9,105 the digit 9 is in the thousands place, so it represents nine thousand (9,000). Recognizing place value determines each digit's value. Learn more.
What is the decimal expanded form of 7.204?
7 + 2/100 + 4/1000
7 + 0.2 + 0.04
7 + 0.2 + 0.004
7 + 0.02 + 0.004
To expand 7.204, break it into 7 (ones), 0.2 (tenths), 0.004 (thousandths). Summing these gives the original number. More on decimal expansion.
What digit is in the hundred-thousands place in 1,234,567?
3
4
1
2
In 1,234,567 the place values from left to right are millions (1), hundred-thousands (2), ten-thousands (3), thousands (4), hundreds (5), tens (6), ones (7). The hundred-thousands place holds 2. Review place value.
What is the value of the digit 6 in 8,765,432?
600,000
6
60,000
6,000,000
In 8,765,432 the place values are millions, hundred-thousands, ten-thousands, etc. The digit 6 sits in the hundred-thousands place, giving it a value of 600,000. More on place values.
Write 3,406,709 in expanded form.
3×1,000,000 + 4×10,000 + 6×100 + 7×10 + 9×1
3×1,000,000 + 4×100,000 + 6×1,000 + 7×100 + 9×1
3,406,709
3×1,000,000 + 4×100,000 + 0×10,000 + 6×1,000 + 7×100 + 0×10 + 9×1
Expanded form explicitly shows each digit multiplied by its place value, including zeros for empty places. For 3,406,709, we include 0×10,000 and 0×10 to represent those vacant places. This ensures a complete breakdown of the number. Expanded form details.
What is the place value of digit 1 in 0.0012?
0.001
0.1
0.01
0.0001
In the decimal 0.0012 the places are tenths (0), hundredths (0), thousandths (1), ten-thousandths (2). The digit 1 is in the thousandths place, so its value is 0.001. Decimal place values.
Round 5.678 to the nearest hundredth.
5.69
5.67
5.7
5.68
To round to the nearest hundredth, look at the thousandths digit (8). Since it is 5 or greater, increase the hundredths digit (7) by one to get 8. Thus, 5.678 rounds to 5.68. Rounding rules.
Which digit is in the ten-thousandths place in 3.14567?
6
1
4
5
In 3.14567 the decimal places are tenths (1), hundredths (4), thousandths (5), ten-thousandths (6), hundred-thousandths (7). Thus the ten-thousandths digit is 6. Decimal place value.
Compare 0.504 and 0.45; which is greater?
0.504
0.45
Cannot determine
They are equal
When comparing 0.504 and 0.45, align them by place value: 0.504 vs. 0.450. Since 0.504 has a larger thousandths digit than 0.450, 0.504 is greater. Learn how to compare decimals.
What digit is in the millionths place in 0.123456?
5
1
6
4
In the decimal 0.123456 the places are tenths (1), hundredths (2), thousandths (3), ten-thousandths (4), hundred-thousandths (5), and millionths (6). Thus the millionths digit is 6. Decimal place value explained.
True or False: In the number 45,006.089, the digit 6 represents six ones.
False
True
In 45,006.089 the digits to the left of the decimal are ten-thousands (4), thousands (5), hundreds (0), tens (0), and ones (6). The 6 is in the ones place, so it represents six ones. Review place values.
0
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Study Outcomes

  1. Identify Digit Values -

    After completing the practice place value test, learners will recognize the value of each digit in ones, tens, hundreds, and beyond within multi-digit numbers.

  2. Compare and Order Numbers -

    Users will accurately compare, order, and place numbers based on their positional values using interactive place value quiz exercises.

  3. Apply Place Value Concepts -

    Participants will apply their understanding of place value to solve real-world math problems and additional practice place value test questions.

  4. Analyze Number Sense Strengths -

    Through instant feedback on place value questions, learners will assess their number sense skills and pinpoint areas for improvement.

  5. Boost Mathematical Confidence -

    By engaging with fun place value test challenges, students will build confidence in understanding place value and handling larger numbers.

Cheat Sheet

  1. Positional Hierarchies -

    In any place value test, each digit's position (ones, tens, hundreds, thousands) multiplies its face value by a power of ten, as outlined by the National Council of Teachers of Mathematics. For example, in 3,726, the "7" represents 7×10, not 7×1 or 7×100. Regularly tackling place value quiz items reinforces this core hierarchy.

  2. Expanded Form Mastery -

    Writing numbers in expanded form (e.g., 4,582 = 4×1,000 + 5×100 + 8×10 + 2×1) deepens your understanding place value and aligns with university-level math pedagogy. This method breaks complex digits into sum components, making place value questions feel more approachable. Try converting random numbers during a practice place value test for instant confidence boosts.

  3. Comparing and Ordering Numbers -

    Use the "Highest Place Wins" rule when comparing numbers: if digits in the largest place differ, you've found the greater number without checking further (Source: Stanford University Math Education). For instance, to compare 5,847 and 5,794, you see 8 hundreds beats 7 hundreds immediately. This quick check speeds you through timed quizzes and real-world assessments.

  4. Decimal Place Value Extension -

    Beyond whole numbers, decimal place value (tenths, hundredths, thousandths) works via negative powers of ten: 3.14 = 3 + 1×10❻¹ + 4×10❻², a concept endorsed by leading math journals. Practice converting measurements (like 0.75 meters = 7×10❻¹ + 5×10❻² meters) to tackle both whole and decimal place value questions. This dual skill set is crucial for advanced science or finance modules.

  5. Memory Tricks & Test Strategies -

    Deploy mnemonics such as "My Turtle Hates Dirty Peas" to remember place names (Millions, Thousands, Hundreds, Tens, Ones). When facing a high-stakes place value test, apply the "chunking" method: group digits into three-digit chunks to simplify reading and writing large numbers. Regular timed practice place value test rounds will boost speed and accuracy.

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