Grade 1
  1. Numbers and Counting  1.1. Counting to 10  1.2. Counting to 20  1.3. Counting to 50  1.4. Counting to 100  1.5. Writing Numbers 1 to 10  1.6. Writing Numbers 1 to 20  1.7. Writing Numbers 1 to 50  1.8. Writing Numbers 1 to 100  1.9. Reading Numbers 1 to 10  1.10. Reading Numbers 1 to 20  1.11. Reading Numbers 1 to 50  1.12. Reading Numbers 1 to 100  1.13. Comparing Numbers  1.14. Ordering Numbers  1.15. Odd and Even Numbers  1.16. Number Patterns  1.17. Skip Counting by 2s, 5s, and 10s  1.18. Understanding Zero
  2. Basic Addition and Subtraction  2.1. Understanding Addition  2.2. Addition Facts within 10  2.3. Addition Facts within 20  2.4. Adding Zero  2.5. Adding One More  2.6. Adding Two More  2.7. Adding Three More  2.8. Adding Using Pictures  2.9. Addition Word Problems  2.10. Understanding Subtraction  2.11. Subtraction Facts within 10  2.12. Subtraction Facts within 20  2.13. Subtracting Zero  2.14. Subtracting One  2.15. Subtracting Two  2.16. Subtraction Using Pictures  2.17. Subtraction Word Problems  2.18. Introduction to Doubles Facts  2.19. Introduction to Making 10
  3. Place Value and Number Sense  3.1. Understanding Tens and Ones  3.2. Counting by Tens  3.3. Place Value within 20  3.4. Place Value within 50  3.5. Place Value within 100  3.6. Reading and Writing Two-Digit Numbers  3.7. Comparing Two-Digit Numbers  3.8. Decomposing Numbers
  4. Measurement  4.1. Length  4.1.1. Comparing Lengths  4.1.2. Measuring with Non-Standard Units  4.1.3. Using Standard Units (Inches and Centimeters) in Length  4.2. Weight  4.2.1. Comparing Weights  4.2.2. Heavy and Light Objects  4.2.3. Introduction to Grams and Pounds  4.3. Capacity  4.3.1. Comparing Capacity  4.3.2. Full and Empty  4.3.3. Introduction to Liters and Milliliters  4.4. Time  4.4.1. Telling Time to the Hour  4.4.2. Telling Time to the Half Hour  4.4.3. Days of the Week  4.4.4. Months of the Year  4.4.5. Understanding Yesterday, Today, and Tomorrow  4.5. Money  4.5.1. Recognizing Coins  4.5.2. Counting Coins  4.5.3. Introduction to Dollar and Cents Symbols  4.5.4. Simple Addition and Subtraction with Money
  5. Geometry  5.1. 2D Shapes  5.1.1. Recognizing 2D Shapes  5.1.2. Drawing 2D Shapes  5.1.3. Naming 2D Shapes  5.1.4. Properties of 2D Shapes  5.1.5. Sorting 2D Shapes  5.1.6. Composing Simple Shapes  5.2. 3D Shapes  5.2.1. Recognizing 3D Shapes  5.2.2. Naming 3D Shapes  5.2.3. Properties of 3D Shapes  5.2.4. Sorting 3D Shapes  5.3. Position and Direction  5.3.1. Left and Right  5.3.2. Above and Below  5.3.3. Inside and Outside  5.3.4. Near and Far  5.3.5. In Front and Behind
  6. Patterns and Sorting  6.1. Recognizing Patterns  6.2. Extending Patterns  6.3. Creating Patterns  6.4. Sorting by Color  6.5. Sorting by Shape  6.6. Sorting by Size
  7. Data and Graphing  7.1. Introduction to Data  7.2. Collecting Data  7.3. Tally Marks  7.4. Bar Graphs  7.5. Picture Graphs  7.6. Interpreting Simple Graphs
  8. Fractions  8.1. Understanding Halves  8.2. Understanding Fourths  8.3. Dividing Shapes into Equal Parts  8.4. Identifying Equal and Unequal Parts

Grade 1 → Place Value and Number Sense ↓


Reading and Writing Two-Digit Numbers


Learning to read and write two-digit numbers is an important skill in first grade math. It helps lay the groundwork for more advanced math concepts in the future. In this explanation, we'll learn place value, reading and writing two-digit numbers, and lots of examples to make it as easy as possible. We'll learn what tens and ones mean and why they're important. This explanation is designed to be clear and straightforward, using simple language and helpful examples. Let's get started!

What is local value?

Place value is the idea that the position of a digit in a number gives it a certain value. In other words, the place where a number is placed tells us how much it is worth. This is especially important when we start working with numbers that have more than one digit.

For example, 2 in the number 25 is not just a two; it is actually two tens. This means:

2 tens = 20

And 5 is in the ones place, which means it's just five:

5 units = 5

Understanding tens and ones

In two-digit numbers, there are always two main places to consider: the tens place and the ones place. Here's how they work:

Tens people25

Each digit in a two-digit number corresponds to one of the following places:

  • Tens place: This shows how many groups of ten there are in the number.
  • Units place: Shows how many units are remaining.

Understanding the value of each space

Let's take another example: 47 How do we read this number using place value?

We divide it as follows:

4 tens = 40
7 units = 7

So, 47 is just 40 + 7. That's the magic of local value! And, likewise for 85:

8 tens = 80
5 units = 5

This means, 85 = 80 + 5, considering place values.

Reading two-digit numbers

Reading two-digit numbers involves understanding both the tens and ones and pronouncing them correctly. Let's look at an example.

Tens people39

The number 39 is read as 39. This is because:

3 tens = 30
9 units = 9

To read this we say thirty (for ten) and nine (for one).

Other examples in reading

Consider some more numbers:

Example 1: 51

5 tens = 50

1 one = 1

It is read as fifty one.

Example 2: 76

7 tens = 70

6 units = 6

This will be read as seventy six.

Example 3: 94

9 tens = 90

4 units = 4

It is read ninety four.

Writing two-digit numbers

When writing two-digit numbers, we need to understand what number we are representing as tens and ones. To do this, it can be very helpful to think about place value. Let's look at how numbers are written this way.

Example: writing 58

We hear fifty-eight and write it down like this:

5 tens = 50

8 units = 8

Put these together:

58

Practice writing numbers more

Let's try another try: let's say the number is sixty-two.

6 tens = 60
2 units = 2

When you add it all together, you get this number:

62

Let's practice some more. Let's say the number is eighty-nine:

8 tens = 80
9 units = 9

Put these together:

89

Using place value to solve problems

Understanding tens and ones helps us not only read and write numbers, but also solve simple math problems. Let's look at an example:

Adding two-digit numbers

Suppose we want to add 23 and 34 Using place value, we can solve it step by step:

Divide these into tens and ones:

    23 = 2 tens + 3 units
    34 = 3 tens + 4 units

Add the tens and ones separately:

    Tens: 2 + 3 = 5 tens
    Units: 3 + 4 = 7 units

When we combine these:

23 + 34 = 57

More examples with visuals

Let's try some visual examples to deepen our understanding:

Example: What is 46 + 13?

First, divide them into tens and ones:

    46 = 4 tens + 6 units
    13 = 1 ten + 3 units

Then, add the tens:

41,5 tens

Next, add these:

63,9 Once

Add the results:

46 + 13 = 59

More practice problems and exercises

Practice problem 1

Read and write down the number for each:

Thirty-seven: ______
Sixty four: _______
Ninety-two: _______

Practice problem 2

Solve using local value:

Add 45 + 26

45 = 4 tens + 5 units
26 = 2 tens + 6 units

Tens: _____
One: _____

Total: ______

Practice problem 3

Write down the number for each:

8 tens + 9 ones = ______

3 tens + 4 ones = ______

Conclusion

Reading and writing two-digit numbers may seem challenging at first glance, but once you understand place value, it becomes much easier. By knowing that the position of a digit tells us its value, we can quickly determine both the tens and units place in any two-digit number. This way, we can read the numbers out loud, write them down, and even use them in math problems with confidence. Practice the examples and exercises provided, and you'll become proficient in no time. Understanding place value will prepare you for even more exciting math adventures ahead.


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Reading and Writing Two-Digit Numbers

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