Understanding Place Value: Ones and Tens

What you'll learn: You'll discover how every two-digit number is built from groups of tens and single ones, and learn to identify what each digit represents.

The Core Idea

When you see a number like 47, it's not just "forty-seven things in a pile." It's actually organized into two parts:

• The 4 represents four groups of ten (40)
• The 7 represents seven single ones (7)

Think of it like money: if you have 47 cents, you could have 4 dimes (each worth 10 cents) plus 7 pennies (each worth 1 cent).

Breaking Down Two-Digit Numbers

Every two-digit number has two positions:

• Tens place (the left digit) — tells you how many groups of 10
• Ones place (the right digit) — tells you how many single items

Example: The Number 83

• The 8 is in the tens place = 8 groups of ten = 80
• The 3 is in the ones place = 3 single ones = 3
• Together: 80 + 3 = 83

Another Example: The Number 20

• The 2 is in the tens place = 2 groups of ten = 20
• The 0 is in the ones place = 0 single ones = 0
• Together: 20 + 0 = 20

Why This Matters

Understanding place value helps you see that 35 and 53 are different numbers because the digits sit in different positions. In 35, you have 3 tens (30) and 5 ones. In 53, you have 5 tens (50) and 3 ones.

Key Takeaway: Every two-digit number is made of tens (groups of 10) and ones (single units). The position of each digit tells you its value—the left digit counts tens, the right digit counts ones.