Grade 2Place Value to 1,0002.NBT.A.1

Hundreds, Tens and Ones

352 is 3 hundreds, 5 tens and 2 ones.

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Now you can build any number up to 999 with three kinds of blocks: hundreds (flats), tens (rods) and ones (small cubes). It works just like Tens and Ones, with one more place.

352 is 3 hundreds, 5 tens and 2 ones. Use − and + to build other numbers.

Why it works

Each place holds only 0 to 9 of something, because 10 of anything gets bundled into the next place. So a three-digit number has exactly one digit for hundreds, one for tens and one for ones. The place of a digit tells what it is worth: in 352, the 3 is worth 300, the 5 is worth 50 and the 2 is worth 2.

Worked example: Read the blocks

What number is 2 hundreds, 4 tens and 7 ones?
  1. 2 hundreds is 200.
  2. 4 tens is 40.
  3. 7 ones is 7.
  4. Write one digit in each place: 247.

Answer: 247

Worked example: A zero holds a place

What number is 3 hundreds and 4 ones?
  1. Hundreds: 3.
  2. There are no tens, so write 0 in the tens place to hold it.
  3. Ones: 4. The number is 304.

Answer: 304

Worked example: What is a digit worth?

What is the 6 worth in 563?
  1. The 6 is in the tens place.
  2. 6 tens is 60.

Answer: 60

Your turn: build 304. How many tens do you need?

Key idea

In a three-digit number, the digits stand for hundreds, tens and ones, from left to right. A 0 holds a place when there are none of that kind.

Common mistake

Writing 3 hundreds and 4 ones as 34 or 3004. But 34 means 3 tens and 4 ones, and 3004 is more than three thousand. Check: a number in the hundreds has exactly three digits, and the middle one tells the tens.
Grown-up tip: Read numbers on house doors, book pages or price tags together, and ask what each digit is worth.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Builds on

Leads to

Sources and further reading

  • Common Core State Standards for Mathematics, Grade 2, standard 2.NBT.A.1 (the three digits of a three-digit number represent amounts of hundreds, tens and ones)
  • OpenStax, Prealgebra 2e, Section 1.1 Introduction to Whole Numbers (background for grown-ups)
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