Tenths Place
The tenths place is the first digit to the right of the decimal point. It tells us how many tenths (1/10) a number has. Understanding the tenths place is the foundation for working with decimals.
When you divide something into 10 equal parts, each part is called one tenth, written as 1/10 or 0.1.
What is Tenths Place - Class 4 Maths (Decimals)?
The tenths place is the first position after the decimal point. A digit in this place represents that many tenths of a whole.
| Tens | Ones | . | Tenths |
|---|---|---|---|
| 1 | 2 | . | 5 |
In 12.5, the digit 5 is in the tenths place. Its value is 5/10 = 0.5.
1 whole = 10 tenths | 1 tenth = 1/10 = 0.1
Solved Examples
Example 1: Example 1: Identify the Tenths Digit
Problem: What digit is in the tenths place of 7.3?
Solution:
Step 1: The tenths place is the first digit after the decimal point.
Answer: The digit in the tenths place is 3.
Example 2: Example 2: Value of the Tenths Digit
Problem: What is the value of the digit 6 in 4.6?
Solution:
Step 1: 6 is in the tenths place.
Step 2: Value = 6 × 1/10 = 6/10 = 0.6.
Answer: The value of 6 is 6 tenths (0.6).
Example 3: Example 3: Write as a Decimal
Problem: Write "5 and 8 tenths" as a decimal.
Solution:
Step 1: Whole part = 5. Tenths = 8.
Step 2: Place 8 in the tenths position after the decimal point.
Answer: 5.8
Example 4: Example 4: Convert Fraction to Decimal
Problem: Write 3/10 as a decimal.
Solution:
Step 1: 3/10 = 3 tenths.
Step 2: Place 3 in the tenths place: 0.3.
Answer: 3/10 = 0.3
Example 5: Example 5: Convert Decimal to Fraction
Problem: Write 0.9 as a fraction.
Solution:
Step 1: 0.9 = 9 tenths = 9/10.
Answer: 0.9 = 9/10
Example 6: Example 6: Count in Tenths
Problem: What comes next: 0.5, 0.6, 0.7, ?
Solution:
Step 1: Each number increases by 1 tenth (0.1).
Step 2: 0.7 + 0.1 = 0.8.
Answer: The next number is 0.8.
Example 7: Example 7: Place Value Chart
Problem: Write 15.2 in a place value chart.
Solution:
| Tens | Ones | . | Tenths |
|---|---|---|---|
| 1 | 5 | . | 2 |
Answer: 15.2 = 1 ten + 5 ones + 2 tenths = 10 + 5 + 0.2
Example 8: Example 8: Word Problem
Problem: Dev cut a ribbon into 10 equal pieces. He used 3 pieces. What decimal represents the portion he used?
Solution:
Step 1: 3 out of 10 = 3/10.
Step 2: 3/10 = 0.3.
Answer: Dev used 0.3 of the ribbon.
Example 9: Example 9: Measurement in Tenths
Problem: A plant grew 2 cm in the first week and 4 tenths of a cm more in the next week. Write the total height grown as a decimal.
Solution:
Step 1: First week: 2 cm. Next week: 4/10 cm = 0.4 cm.
Step 2: Total = 2 + 0.4 = 2.4 cm.
Answer: The plant grew 2.4 cm in total.
Key Points to Remember
- The tenths place is the first digit after the decimal point.
- 1 tenth = 1/10 = 0.1.
- 10 tenths = 1 whole.
- To write tenths as a decimal, place the digit in the first position after the decimal point.
- The tenths place is 10 times smaller than the ones place.
- Counting by tenths: 0.1, 0.2, 0.3, ..., 0.9, 1.0.
Practice Problems
- What digit is in the tenths place of 9.4?
- Write 6/10 as a decimal.
- Write 0.7 as a fraction.
- What is the value of 2 in 8.2?
- Continue the pattern: 1.2, 1.3, 1.4, ___, ___.
- Ria's water bottle holds 1.5 litres. How many tenths is the decimal part?
- Write 'twenty-three and nine tenths' as a decimal number.
Frequently Asked Questions
Q1. What is the tenths place?
The tenths place is the first position to the right of the decimal point. In 3.7, the digit 7 is in the tenths place and represents 7/10 or 0.7.
Q2. How many tenths make a whole?
10 tenths make one whole. So 10/10 = 1.0 = 1.
Q3. Is 0.1 the same as 1/10?
Yes. 0.1 and 1/10 are the same value. Both mean one part out of ten equal parts.
Q4. What is the difference between the ones place and the tenths place?
The ones place is the last digit before the decimal point. The tenths place is the first digit after it. The tenths place is 10 times smaller than the ones place.
Q5. Can the tenths digit be 0?
Yes. In 3.0, the tenths digit is 0, meaning there are no tenths. 3.0 equals 3.
Q6. How do you count by tenths?
Start from any decimal and keep adding 0.1: 0.0, 0.1, 0.2, 0.3, ..., 0.9, 1.0, 1.1, and so on.
Q7. Where do we see tenths in daily life?
In measurements (1.5 kg of rice), money (Rs.2.30 has 3 tenths of a rupee), temperature (37.2 degrees), and many other places.
Q8. What place comes after tenths?
The hundredths place. It is the second digit after the decimal point. For example, in 2.35, the 3 is in the tenths place and the 5 is in the hundredths place.
Q9. Is the tenths place part of the NCERT Class 4 syllabus?
Yes. Understanding the tenths place is a key part of the Decimals chapter in Class 4 NCERT Maths.
