Place Value — Tens and Ones

Place Value 🔢

Every digit in a number has a place and a value. This is called Place Value.

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🏠 The Place Value House

Think of numbers like a house with rooms:

H

Hundreds

100s place

T

Tens

10s place

O

Ones

1s place

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🔢 Tens and Ones (2-digit numbers)

Example: The number 47

4

Tens

= 40

7

Ones

= 7

47 = 4 tens + 7 ones = 40 + 7 = 47 ✅

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📊 Place Value Table

Number	Tens	Ones	Expanded Form
13	1	3	10 + 3
25	2	5	20 + 5
38	3	8	30 + 8
47	4	7	40 + 7
56	5	6	50 + 6
62	6	2	60 + 2
79	7	9	70 + 9
84	8	4	80 + 4
91	9	1	90 + 1
99	9	9	90 + 9

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🔢 Hundreds, Tens, and Ones (3-digit numbers)

Example: The number 352

Digit	Place	Value
3	Hundreds	300
5	Tens	50
2	Ones	2

352 = 3 hundreds + 5 tens + 2 ones = 300 + 50 + 2 = 352 ✅

More Examples

Number	Hundreds	Tens	Ones	Expanded Form
123	1	2	3	100 + 20 + 3
456	4	5	6	400 + 50 + 6
708	7	0	8	700 + 0 + 8
999	9	9	9	900 + 90 + 9

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🌟 Face Value vs Place Value

Term	Meaning	Example (in 47)
Face Value	The digit itself	Face value of 4 = 4
Place Value	The digit × its position	Place value of 4 = 40 (4 tens)

In the number 352:

• Face value of 5 = 5
• Place value of 5 = 50 (5 tens)

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🔢 Comparing Numbers Using Place Value

To compare two numbers, look at the highest place value first:

Numbers	Compare	Answer
45 and 38	4 tens > 3 tens	45 > 38
67 and 72	6 tens < 7 tens	67 < 72
53 and 57	Same tens (5), but 3 ones < 7 ones	53 < 57

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✅ Quick Practice

Write the place value of the underlined digit:

1. 47 → ___ (40)
2. 38 → ___ (8)
3. 256 → ___ (200)
4. 473 → ___ (70)
5. 689 → ___ (9)

Write in expanded form:

1. 34 = ___ + ___ (30 + 4)
2. 78 = ___ + ___ (70 + 8)
3. 125 = ___ + ___ + ___ (100 + 20 + 5)
4. 407 = ___ + ___ + ___ (400 + 0 + 7)

Write the number:

1. 5 tens + 3 ones = ___ (53)
2. 8 tens + 0 ones = ___ (80)
3. 2 hundreds + 4 tens + 6 ones = ___ (246)

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Place value is the key to understanding all big numbers! 🔑🔢