MathIsimple
Unit 1: Lesson 3

Place Value Concepts

Discover the magic of place value! Learn how tens and ones work together to build every number from 10 to 120. Master this and math becomes so much easier!

40-50 min
Medium
Tens & Ones
Place Value
Base-10
Expanded Form

๐Ÿงฑ Build Numbers Like LEGO!

Use these interactive activities to master tens and ones!

Drag Blocks to Places

Drag number blocks to tens or ones place!

Medium
6 minutes
๐Ÿงฑ

Drag blocks to the correct place (tens or ones)

๐Ÿ–ฑ๏ธ Drag options below to the correct boxes (computer) or click to move (mobile)

๐Ÿ“ Target Zones

๐Ÿ”ŸTens Place
Waiting...
1๏ธโƒฃOnes Place
Waiting...
โ“Extra
Waiting...

๐ŸŽฏ Draggable Options

๐ŸŸฆ4
๐ŸŸจ7
๐ŸŸฉ2
Progress:
0 / 3
Click to interact โ†’

Find the Tens Place

What digit is in the tens place?

Easy
4 minutes
๐Ÿ‘€

In the number '83', what digit is in the tens place?

Click to interact โ†’

Break Down Numbers

Write how many tens and ones!

Easy
5 minutes
๐Ÿ”ข

The number 56 = ___ tens + ___ ones. How many tens?

Click to interact โ†’

Click the Correct Number

Which number has 3 tens and 8 ones?

Medium
5 minutes
๐ŸŽฏ

Which number is: 3 tens + 8 ones?

Click the correct option

Click to interact โ†’

Master These 8 Key Concepts

Build a rock-solid understanding of place value - the foundation of all math!

1

What is Place Value?

Place value means the VALUE of a digit depends on its PLACE (position) in a number. In the number 35, the 3 is worth 30 (not just 3!) because it's in the tens place. The 5 is worth 5 because it's in the ones place!

๐Ÿ’ก Think of place value like apartment buildings - the floor you're on (place) determines your apartment value!

๐ŸŒŸExamples:

4๏ธโƒฃ2๏ธโƒฃ

The Number 42

The 4 is in the tens place = 40 (four tens). The 2 is in the ones place = 2 (two ones). Together: 40 + 2 = 42!

6๏ธโƒฃ7๏ธโƒฃ

The Number 67

6 tens (60) + 7 ones (7) = 67. The 6 means 60, not just 6!

9๏ธโƒฃ0๏ธโƒฃ

The Number 90

9 tens (90) + 0 ones (0) = 90. The zero shows we have no extra ones!

๐Ÿ’ฐ

Money Example

53ยข = 5 dimes (50ยข) + 3 pennies (3ยข). The 5 represents 5 tens = 50ยข!

๐Ÿ‘ฅ

Classroom Example

28 students = 2 groups of 10 students + 8 more students. The 2 means 2 tens!

Common Mistake Alert! โš ๏ธ

Thinking 52 is just '5 and 2'. It's actually 50 and 2! The position matters!

2

Understanding the Tens Place

The tens place is the LEFT digit in a two-digit number. Each '1' in the tens place is worth 10! So 7 in the tens place means 7 groups of 10, which equals 70.

๐Ÿ’ก Tens are like egg cartons - each one holds 10! Count cartons, not individual eggs!

๐ŸŒŸExamples:

๐Ÿงฑ

Base-10 Blocks

A 'ten rod' block contains 10 small cubes. 5 ten rods = 50 (not 5)!

๐Ÿ–๏ธ

Fingers and Toes

8 people have 80 fingers total (8 tens). Each person has 10 fingers!

๐Ÿฅš

Egg Cartons

6 cartons with 10 eggs each = 60 eggs. The 6 in 60 means 6 tens!

โœ๏ธ

Pencil Boxes

Teacher has 4 boxes with 10 pencils each = 40 pencils. 4 in tens place = 40!

Common Mistake Alert! โš ๏ธ

Forgetting that tens place digits are worth 10 times more! 4 in tens place = 40, not 4!

3

Understanding the Ones Place

The ones place is the RIGHT digit in a number. It shows how many single items we have left over after making groups of 10. Each digit here is worth exactly its face value!

๐Ÿ’ก Ones are the leftovers after you make all your groups of 10 - the individual pieces!

๐ŸŒŸExamples:

๐Ÿ”ข

The Number 34

3 tens + 4 ones. The 4 ones are the 4 individual items we have!

โญ

Stickers

You have 47 stickers: 4 sheets of 10 + 7 loose stickers. The 7 is in the ones place!

๐Ÿ–๏ธ

Crayons

52 crayons: 5 boxes of 10 + 2 extra crayons. The 2 is your ones!

๐Ÿช™

Coins

68ยข: 6 dimes (tens) + 8 pennies (ones). Each penny is 1ยข!

Common Mistake Alert! โš ๏ธ

Not understanding that ones are single units. In 45, the 5 means exactly 5 individual ones!

4

Building Numbers with Tens and Ones

Any two-digit number is built by combining tens and ones! To make 56, you need 5 tens (50) and 6 ones (6). Put them together: 50 + 6 = 56. You're building numbers like LEGO!

๐Ÿ’ก Think of tens as big blocks and ones as small blocks - stack them to build your number!

๐ŸŒŸExamples:

๐Ÿ—๏ธ

Making 73

Get 7 tens (70) + 3 ones (3) = 73. Build it: 10+10+10+10+10+10+10+1+1+1!

๐Ÿ”จ

Making 89

Need 8 tens (80) + 9 ones (9) = 89. That's 8 groups of 10 plus 9 more!

๐Ÿ˜๏ธ

Making 60

6 tens (60) + 0 ones (0) = 60. No ones needed - just tens!

๐Ÿ’ต

Money Building

Make 45ยข: Use 4 dimes (40ยข) + 5 pennies (5ยข) = 45ยข!

๐Ÿ˜

Snack Time

38 crackers: Put out 3 packs of 10 + 8 individual crackers!

Common Mistake Alert! โš ๏ธ

Adding wrong! For 45, some kids add 4+5=9 instead of 40+5=45. Remember tens are worth 10!

5

Breaking Numbers Apart (Expanded Form)

Expanded form means breaking a number into its tens and ones parts. The number 64 can be written as 60 + 4. This helps us see WHAT the number is made of!

๐Ÿ’ก Like taking apart a sandwich to see all the ingredients - break numbers to see their parts!

๐ŸŒŸExamples:

โž•

51 Expanded

51 = 50 + 1. We have 5 tens and 1 one. Write it out to see the parts!

๐Ÿ”ข

83 Expanded

83 = 80 + 3. That's 8 tens plus 3 ones. Break it down!

๐Ÿ’ฏ

99 Expanded

99 = 90 + 9. The biggest two-digit number! 9 tens + 9 ones!

๐Ÿ’ฐ

Money Breakdown

72ยข = 70ยข + 2ยข = 7 dimes + 2 pennies. Breaking it apart helps you make change!

Common Mistake Alert! โš ๏ธ

Writing 46 as 4 + 6 instead of 40 + 6. Remember to expand the tens to its full value!

6

Comparing Place Value in Different Numbers

When comparing two numbers, look at the tens place FIRST! The number with more tens is bigger, even if it has fewer ones. 70 is bigger than 69 because 7 tens beats 6 tens!

๐Ÿ’ก Tens are like dollars, ones are like cents - more dollars always wins!

๐ŸŒŸExamples:

๐Ÿ”

45 vs 54

45 has 4 tens (40). 54 has 5 tens (50). 54 is bigger! Compare tens first!

โš–๏ธ

82 vs 89

Both have 8 tens (80). So check ones: 2 vs 9. 89 is bigger!

๐Ÿ“Š

30 vs 29

30 has 3 tens, 29 has 2 tens. 30 is bigger! Even though 9 is bigger than 0!

๐Ÿ’ต

Money Compare

75ยข vs 57ยข. 75ยข has 7 dimes, 57ยข has 5 dimes. 75ยข is more!

Common Mistake Alert! โš ๏ธ

Only looking at ones place. In 28 vs 35, some kids think 28 is bigger because 8>5. Wrong! Look at tens first!

7

Place Value with Zero

Zero in a place means we have NONE of that value. In 40, the zero means we have zero ones. In 05, the zero means we have zero tens (but we just write 5, not 05)!

๐Ÿ’ก Zero is like an empty shelf - there's a place, but nothing's on it!

๐ŸŒŸExamples:

5๏ธโƒฃ0๏ธโƒฃ

The Number 50

50 = 5 tens + 0 ones. We have 5 groups of 10, but no extras!

2๏ธโƒฃ0๏ธโƒฃ

The Number 20

20 = 2 tens + 0 ones. Just 2 groups of 10, nothing else!

๐Ÿ’ฏ

The Number 100

100 = 1 hundred + 0 tens + 0 ones. One hundred exactly, nothing extra!

๐Ÿ’ฐ

Money Example

80ยข = 8 dimes + 0 pennies. Exactly 8 dimes, no pennies!

Common Mistake Alert! โš ๏ธ

Thinking zero means nothing! In 30, zero in ones place shows we have 3 tens (30) - very important!

8

Using Place Value Every Day

Place value isn't just for math class - it's everywhere! Understanding tens and ones helps you with money, time, measuring, counting, and solving problems. It's one of the most important math skills you'll ever learn!

๐Ÿ’ก Place value is like a superpower that makes all other math easier!

๐ŸŒŸExamples:

๐Ÿ›’

Shopping Smart

Toy costs 85ยข. You need 8 dimes + 5 pennies. Place value helps you count your money!

๐Ÿ•

Telling Time

Clock shows 45 minutes. That's 4 tens + 5 ones. Place value helps you read time!

๐Ÿ“

Measuring Length

Desk is 62 inches. That's 6 tens + 2 ones = 62 inches. Place value in measurement!

๐Ÿˆ

Sports Scores

Team scored 73 points: 7 touchdowns (70) + 3 field goals (3) = 73!

๐ŸŽ‰

Birthday Party

Inviting 48 friends: Need 4 tables of 10 + 8 extra chairs. Place value helps plan!

Common Mistake Alert! โš ๏ธ

Not seeing place value in real life. Look for it everywhere - it's helping you all day!

Master Place Value!

Test your understanding of tens and ones with our practice quiz!

Start Practice Quiz
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