Math Core

Lesson 2.1 ยท Place Value to 1,000

Hundreds, tens and ones

You already know that 10 ones make 1 ten. Now numbers get bigger. When you have 10 tens, you can bundle them into 1 hundred. That lets you read numbers all the way up to 1,000.

Make a hundred

In this lesson, we use three kinds of blocks:

  • ๐ŸŸง is 1 one.
  • ๐ŸŸฆ is 1 ten (a stick of 10 ones).
  • ๐ŸŸช is 1 hundred (a flat of 10 tens).

Count by tens ten times: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. So 10 tens is 100.

10 tens = 1 hundred

10 ones make 1 ten. 10 tens make 1 hundred. And 10 hundreds make 1 thousand, which we write as 1,000.

Three-digit numbers

A three-digit number has three places.

Definition

Hundreds, tens and ones

In a three-digit number, the left digit tells how many hundreds. The middle digit tells how many tens. The right digit tells how many ones.

HundredsTensOnes
247

The number 247 has 2 hundreds, 4 tens and 7 ones.

Worked example: Count the blocks

What number is this?

๐ŸŸช๐ŸŸช๐ŸŸช

๐ŸŸฆ๐ŸŸฆ

๐ŸŸง๐ŸŸง๐ŸŸง๐ŸŸง

There are 3 hundreds, 2 tens and 4 ones. Count the hundreds: 100, 200, 300. Count on the tens: 310, 320. Count on the ones: 321, 322, 323, 324. The number is 324.

Worked example: What does each digit mean?

In 586, what is the value of the 8?

The 8 is in the tens place. 8 tens is 80. So the 8 is worth 80.

Worked example: A zero in the middle

What number has 4 hundreds, 0 tens and 9 ones?

Put 4 in the hundreds place, 0 in the tens place and 9 in the ones place. The number is 409.

Common mistake

Don't skip the zero! 4 hundreds and 9 ones is 409, not 49. The 0 holds the tens place so the 4 stays in the hundreds place.

Tip

The same digit can be worth different amounts. In 333, the first 3 is worth 300, the next 3 is worth 30, and the last 3 is worth 3.

Practice

Practice 1

What number is this?

๐ŸŸช๐ŸŸช

๐ŸŸฆ

๐ŸŸง๐ŸŸง๐ŸŸง

Type a number.

Practice 2

How many hundreds are in 658?

Type a number.

Practice 3

Fill in the blank: 712 has 7 hundreds, ___ tens and 2 ones.

Type a number.

Practice 4

What number has 8 hundreds, 3 tens and 5 ones?

Type a number.

Practice 5

What is the value of the 7 in 471?

Type a number.

Practice 6

What number has 6 hundreds, 0 tens and 2 ones?

Type a number.

Practice 7

Which one means the same as 1 hundred?

Practice 8

Sam has 3 boxes of 100 stickers and 4 packs of 10 stickers. He has no loose stickers. How many stickers does he have?

Type a number.