Place Value Practice Worksheet for 12-Year-Olds | Math Number Sense (Printable)

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Instructions

Read each section carefully and answer all the questions. This worksheet will test your knowledge of place value with whole numbers and decimals. Good luck!

Part 1: What's the Value?

For each number below, write the value of the underlined digit.

  1. 5,824,901.7   ____________________
  2. 98.175   ____________________
  3. 1,234,567.8   ____________________
  4. 60.003   ____________________
  5. 745,098,112   ____________________

Part 2: Number Forms

Complete the table by filling in the missing forms for each number.

Standard Form Expanded Form Word Form
3,056.42
(7 x 100) + (9 x 1) + (8 x 0.1) + (5 x 0.001)
Four hundred twelve and ninety-three hundredths

Part 3: Compare and Conquer

Write <, >, or = in the circle to compare the numbers.

  1. 56.089 ◯ 56.809
  2. 1,234,567 ◯ 1,234,576
  3. 9.50 ◯ 9.5
  4. 0.078 ◯ 0.708
  5. 304.1 ◯ 30.41

Part 4: Rounding Roundup

Round the number 8,254,197.368 to the place value indicated.

  1. Nearest ten thousand: ____________________
  2. Nearest hundred: ____________________
  3. Nearest tenth: ____________________
  4. Nearest hundredth: ____________________
  5. Nearest million: ____________________

Part 5: Place Value Puzzle

Use the clues to figure out the secret number. The number has 7 digits in total, including three decimal places.

  • The digit in the thousands place is 6.
  • The digit in the tenths place is half the thousands digit.
  • The digit in the hundreds place is the sum of the thousands and tenths digits.
  • The digit in the ones place is 0.
  • The digit in the hundredths place is 2 less than the thousands digit.
  • The digit in the tens place is the only even prime number.
  • The digit in the thousandths place is the largest possible single digit.

What is the secret number? ____________________



Answer Key

Part 1: What's the Value?

  1. 4,000 (or four thousand)
  2. 0.1 (or one tenth)
  3. 200,000 (or two hundred thousand)
  4. 0.003 (or three thousandths)
  5. 40,000,000 (or forty million)

Part 2: Number Forms

Standard Form Expanded Form Word Form
3,056.42 (3 x 1000) + (5 x 10) + (6 x 1) + (4 x 0.1) + (2 x 0.01) Three thousand fifty-six and forty-two hundredths
709.805 (7 x 100) + (9 x 1) + (8 x 0.1) + (5 x 0.001) Seven hundred nine and eight hundred five thousandths
412.93 (4 x 100) + (1 x 10) + (2 x 1) + (9 x 0.1) + (3 x 0.01) Four hundred twelve and ninety-three hundredths

Part 3: Compare and Conquer

  1. <
  2. <
  3. =
  4. <
  5. >

Part 4: Rounding Roundup

  1. 8,250,000
  2. 8,254,200
  3. 8,254,197.4
  4. 8,254,197.37
  5. 8,000,000

Part 5: Place Value Puzzle

What is the secret number? 6,920.349

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