Learning Tens and Ones in Place Value for Grade 1

Master how to count tens and ones with worksheets, exercises, and detailed solutions.

Worksheet Exercises 1 to 3
1 Counting Tens and Ones
Worksheet Exercise 1
Count the tens and ones: 📦📦📦📦📦📦📦📦📦📦 📦📦📦📦📦📦 📦
Definition:

Tens: Groups of 10 objects

Ones: Individual objects (less than 10)

Counting Method:
  1. Circle or group objects in sets of 10
  2. Count the complete groups of 10 (these are tens)
  3. Count the remaining objects (these are ones)
  4. Write the answer as "___ tens and ___ ones"
Visual Counting
📦📦📦📦📦📦📦📦📦📦 📦📦📦📦📦📦 📦
Tens Counted
1
Ones Counted
7
Total
17
Step 1: Group objects in tens

First 10 boxes = 1 group of ten

Step 2: Count remaining objects

7 boxes left over = 7 ones

Step 3: Write the answer

1 ten and 7 ones

1 ten and 7 ones
Final answer:

There are 1 ten and 7 ones

Applied rules:

• Grouping: Objects in groups of 10 represent tens

• Counting: Individual objects represent ones

• Place value: Tens and ones combine to make the total number

2 Base-10 Blocks
Worksheet Exercise 2
Count the tens and ones: 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨
Definition:

Base-10 blocks: Visual tools to represent tens and ones

Base-10 Block Counting
🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨
1 group of 10
= 1 ten
+
10 individual items
= 10 ones
=
Total
20
Step 1: Identify the group of ten

First 10 blocks = 1 ten

Step 2: Count the remaining blocks

Next 10 blocks = 10 ones (which is also 1 ten)

Step 3: Regroup if needed

10 ones = 1 ten, so 1 ten + 1 ten = 2 tens

Step 4: Write the final answer

2 tens and 0 ones

2 tens and 0 ones
Final answer:

There are 2 tens and 0 ones

Applied rules:

• Regrouping: 10 ones can be regrouped as 1 ten

• Base-10 system: Every 10 units equals 1 ten

• Place value: Understanding how tens and ones relate

3 Mixed Objects
Worksheet Exercise 3
Count the tens and ones: 🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 🍏🍏🍏🍏
Definition:

Mixed objects: Different items that still represent tens and ones

Mixed Object Counting
🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 🍏🍏🍏🍏
Tens Counted
1
Ones Counted
4
Total
14
Step 1: Count the complete group

10 apples = 1 ten

Step 2: Count the remaining objects

4 pears = 4 ones

Step 3: Write the answer

1 ten and 4 ones

1 ten and 4 ones
Final answer:

There are 1 ten and 4 ones

Applied rules:

• Consistency: Any group of 10 represents 1 ten regardless of object type

• Counting: Remaining objects are always counted as ones

• Place value: Understanding the relationship between tens and ones

Tens and Ones Concepts & Worksheets
Total = (Tens × 10) + Ones
Place Value Formula
Key Concepts:

Tens: Groups of 10 objects (10, 20, 30...)

Ones: Individual objects (1, 2, 3... up to 9)

Place Value: Position determines value

Regrouping: 10 ones = 1 ten

Place Value Chart
Tens
1
1 × 10 = 10
Ones
3
3 × 1 = 3
Total
13
10 + 3 = 13
Tens
10, 20, 30...
Groups of ten
Ones
1, 2, 3...
Individual units
Total
13
Combined value
Important Rule: Always count complete groups of 10 first, then count remaining objects.
Memory Tip: "Ten" has two letters, "One" has three letters - just like tens come first in numbers!
Worksheet Exercises 4 to 5
4 Visual Patterns
Worksheet Exercise 4
Count the tens and ones: 🔷🔷🔷🔷🔷🔷🔷🔷🔷🔷 🔷🔷🔷🔷🔷 🔷
Definition:

Visual patterns: Arranging objects in patterns to make counting easier

Pattern Recognition
🔷🔷🔷🔷🔷🔷🔷🔷🔷🔷 🔷🔷🔷🔷🔷 🔷
1 group of 10
= 1 ten
+
6 individual items
= 6 ones
=
Total
16
Step 1: Identify the group of ten

First 10 diamonds = 1 ten

Step 2: Count remaining objects

Next 5 diamonds + 1 diamond = 6 ones

Step 3: Combine to find total

1 ten and 6 ones = 16

Step 4: Write the answer

1 ten and 6 ones

1 ten and 6 ones
Final answer:

There are 1 ten and 6 ones

Applied rules:

• Pattern recognition: Identifying groups of 10 visually

• Counting strategy: Organizing objects to make counting easier

• Place value: Understanding how tens and ones combine

5 Mixed Representations
Worksheet Exercise 5
Count the tens and ones: 📐📐📐📐📐📐📐📐📐📐 📐
Definition:

Mixed representations: Different visual formats that still follow tens and ones rules

Representation Analysis
📐📐📐📐📐📐📐📐📐📐 📐
Tens Counted
1
Ones Counted
1
Total
11
Step 1: Identify the complete group

10 rulers = 1 ten

Step 2: Count remaining objects

1 ruler = 1 one

Step 3: Combine the values

1 ten and 1 one = 11

Step 4: Write in required format

1 ten and 1 one

1 ten and 1 one
Final answer:

There are 1 ten and 1 one

Applied rules:

• Consistency: Any 10 identical objects equal 1 ten

• Representation: Different symbols still follow same counting rules

• Place value: Understanding position determines value

Detailed Learning Summary: Tens and Ones
Complete Guide to Tens and Ones
Definitions:
  • Tens: Groups of 10 objects; each group counts as one unit in the tens place
  • Ones: Individual objects that don't form a complete group of 10
  • Place Value: The value of a digit depends on its position in a number
  • Regrouping: Converting 10 ones into 1 ten when necessary
Core Rules:
  • Every group of 10 objects = 1 ten
  • Any remaining objects (less than 10) = ones
  • Tens always come first in number formation
  • 10 ones can be regrouped as 1 ten
  • Total value = (tens × 10) + ones
Step-by-Step Method:
  1. Look at all objects and group them into sets of 10
  2. Count the complete groups of 10 (these are your tens)
  3. Count any objects that don't form a complete group (these are your ones)
  4. Write the answer as "___ tens and ___ ones"
  5. Optionally, calculate the total by multiplying tens by 10 and adding ones
Examples:
  • Simple: 📦📦📦📦📦📦📦📦📦📦 = 1 ten and 0 ones = 10
  • Medium: 📦📦📦📦📦📦📦📦📦📦 📦 = 1 ten and 1 one = 11
  • Advanced: 📦📦📦📦📦📦📦📦📦📦 📦📦📦📦📦📦📦📦 = 1 ten and 8 ones = 18
  • Regrouping: 12 ones = 1 ten and 2 ones
Tips and Tricks:
  • Circle or draw lines around groups of 10 to keep track
  • Count by tens: 10, 20, 30... then count remaining ones
  • Remember "TO" for Tens and Ones - Tens come first!
  • Use your fingers - 10 fingers = 1 ten
  • Practice with real objects like blocks or beans
Common Mistakes:
  • Counting incomplete groups as tens
  • Forgetting to count remaining ones
  • Reversing tens and ones (writing ones first)
  • Not regrouping when you have 10 or more ones
  • Confusing the positions of tens and ones
Memorization Aids:
  • "Tens are big, ones are small" - tens represent larger amounts
  • "Ten little fingers make one group" - physical association
  • "T comes before O in TO, Tens come before Ones in numbers"
  • Practice counting aloud: "one ten, two tens, three tens..."
  • Visualize: 10 individual dots can be grouped into 1 stick
Key Takeaways:
  • Understanding tens and ones is the foundation of place value
  • This concept prepares you for larger numbers in higher grades
  • Always group first, then count remaining items
  • Place value is consistent across all number systems
  • Practice with multiple representations strengthens understanding
Key definitions:

Tens Place: The position that shows how many groups of 10 are in a number

Ones Place: The position that shows how many individual units are in a number

Place Value System: Our number system based on powers of 10

Advanced Practice Techniques:
  1. Backwards practice: Given tens and ones, build the total number
  2. Comparison: Compare numbers based on tens and ones
  3. Regrouping practice: Convert between different representations
  4. Real-world connections: Apply to counting money or objects
Tip 1: Always double-check your counting by recounting in a different order.
Tip 2: Use different colored pencils to circle tens and ones separately.
Tip 3: Practice with manipulatives like blocks or counters for hands-on learning.
Tip 4: Create your own worksheets with different objects and challenge yourself.
Success Strategy: Master tens and ones thoroughly as they form the foundation for all future math concepts.
Practice Focus: Work with various visual representations to strengthen conceptual understanding.
Essential Place Value Rules:

• Position matters: Leftmost digit is highest place value

• Base-10 system: Each place is 10 times the previous place

• Zero placeholder: Used when a place has no value

• Standard notation: Tens digit followed by ones digit

Questions & Answers

Question: My students struggle with regrouping when they have more than 10 ones. How can I help them understand this concept?

Answer: Regrouping can be challenging! Try these strategies:

  • Use actual manipulatives: Have students physically exchange 10 individual units for 1 rod of ten
  • Create a "trade game": "When you collect 10 ones, you can trade them for 1 ten!"
  • Use the phrase "Making a ten": "We have 10 ones, so we can make a new ten!"
  • Practice with visual aids showing the conversion process step-by-step

Start with smaller numbers and gradually increase complexity. The physical act of trading helps cement the concept.

Question: How can I make tens and ones practice more engaging for my child at home?

Answer: Here are fun ways to practice at home:

  • Use everyday items like cereal pieces, coins, or toys for counting
  • Play "store" where items cost different numbers of tens and ones
  • Create number scavenger hunts around the house
  • Draw pictures with specific numbers of tens and ones
  • Use songs or rhymes about place value

Make it feel like a game rather than homework. Consistent, short practice sessions work better than long ones.

Question: Why do we need to learn about tens and ones? Why can't we just count everything?

Answer: Great question! Tens and ones help us:

  • Understand big numbers easily - it's much faster than counting to 50!
  • Do addition and subtraction more efficiently
  • Know which numbers are bigger or smaller quickly
  • Prepare for learning about hundreds and thousands later

Think of it like organizing your toys - it's easier to know how many you have when they're in groups!