Tens: Groups of 10 ones (10, 20, 30...)
Ones: Individual units (1, 2, 3...)
Place Value: Where a digit sits tells its value
Base Ten: Our number system uses groups of 10
- Look at the number: Identify the total
- Find the tens: Count groups of 10
- Find the ones: Count remaining units
- Write the breakdown: Number = tens + ones
Tens: Groups of 10 ones
- Look at the number (20)
- Count how many groups of 10 (2 groups)
- Count remaining ones (0 ones)
- Write as: 20 = 2 tens + 0 ones
We have the number 20
How many groups of 10 are in 20? 2 groups of 10
After taking out 20 (2×10), we have 0 left over
20 = 2 tens + 0 ones
20 has 2 tens and 0 ones
• Grouping: Count by tens first
• Place value: Tens and ones positions
• Division: 20 ÷ 10 = 2 tens
Ones: Individual units that don't make a full group of 10
We have the number 17
How many tens are in 17? Only 1 group of 10
After taking out 10, we have 7 ones left
17 = 1 ten + 7 ones
17 has 1 ten and 7 ones
• Subtraction: 17 - 10 = 7
• Remainder: Leftover after grouping by 10
• Place value: Tens and ones positions
Mixed practice: Applying concepts to various numbers
25 = 2 tens (20) + 5 ones (5)
34 = 3 tens (30) + 4 ones (4)
41 = 4 tens (40) + 1 one (1)
20+5=25, 30+4=34, 40+1=41 ✓
25: 2 tens + 5 ones, 34: 3 tens + 4 ones, 41: 4 tens + 1 one
• Systematic approach: Work left to right
• Verification: Check each answer
• Pattern recognition: Tens digit, ones digit
Building numbers: Composing from tens and ones
You have 3 tens and 6 ones
3 tens = 3 × 10 = 30
6 ones = 6 × 1 = 6
30 + 6 = 36
3 tens and 6 ones make the number 36
• Multiplication: Tens × 10
• Addition: Combine tens and ones
• Composition: Parts make whole number
Puzzle solving: Using clues to find the number
4 tens = 40 (so our number starts with 4)
Ones must be even and less than 5: 0, 2, or 4
40, 42, or 44
All three satisfy the conditions!
The number could be 40, 42, or 44 (all have 4 tens, even ones, less than 5)
• Logical reasoning: Process of elimination
• Number properties: Even, less than
• Place value: Tens and ones positions