Place value helps us understand what each digit in a number means. In the number 342, the 3 is not just 3, it means 3 hundreds. The 4 means 4 tens, and the 2 means 2 ones. Learning hundreds, tens, and ones makes reading, writing, adding, and comparing numbers much easier.

Key Facts

  • 1 hundred = 100 ones
  • 1 ten = 10 ones
  • 10 tens = 1 hundred
  • 342 = 3 hundreds + 4 tens + 2 ones
  • Place value goes from left to right as hundreds, tens, ones
  • The value of a digit depends on its place in the number

Vocabulary

Digit
A digit is one symbol used to write numbers, such as 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.
Ones
Ones are single units that count by 1.
Tens
Tens are groups of 10 ones.
Hundreds
Hundreds are groups of 100 ones or 10 tens.
Place Value
Place value is the value a digit has because of its position in a number.

Common Mistakes to Avoid

  • Reading 305 as 35, which is wrong because the 0 holds the tens place and shows there are no tens.
  • Thinking the 4 in 412 means 4 ones, which is wrong because the 4 is in the hundreds place and means 400.
  • Forgetting to bundle 10 ones into 1 ten, which is wrong because place value groups numbers by tens.
  • Writing digits in the wrong order, such as writing 624 for 462, which is wrong because each place changes the value of the digit.

Practice Questions

  1. 1 Write the number that has 5 hundreds, 3 tens, and 8 ones.
  2. 2 In the number 274, what is the value of the 7?
  3. 3 Lena has 2 hundreds blocks, 4 tens rods, and 6 ones cubes. Her friend has 2 hundreds blocks, 6 tens rods, and 4 ones cubes. Who has the larger number, and how do you know?