What Are the First 10 Multiples of 10? List and Simple Explanation
The concept of multiples of 10 is essential in mathematics and helps in solving real-world and exam-level problems efficiently. Understanding these multiples makes calculations faster and helps with topics like multiplication, mental maths, and estimation.
Understanding Multiples of 10
A multiple of 10 refers to any number that results from multiplying 10 by a whole number. In simple words, a multiple of 10 leaves no remainder when divided by 10. This concept is widely used in topics such as place value, skip counting, and multiplication strategies. For example, 10, 20, 30, 40, 50 are all multiples of 10. Every multiple of 10 ends with zero, which makes them easy to identify.
Multiples of 10: Quick Rule
To find multiples of 10, just multiply 10 by any whole number (1, 2, 3, ...). The result will always end with a zero.
Rule: n × 10 = Multiple of 10, where n is a whole number.
Here’s a helpful table to understand multiples of 10 more clearly:
Multiples of 10 Table
| n | 10 × n | Multiple of 10? |
|---|---|---|
| 1 | 10 | Yes |
| 2 | 20 | Yes |
| 3 | 30 | Yes |
| 4 | 40 | Yes |
| 5 | 50 | Yes |
| 6 | 60 | Yes |
| 7 | 70 | Yes |
| 8 | 80 | Yes |
| 9 | 90 | Yes |
| 10 | 100 | Yes |
This table shows how the pattern of multiples of 10 appears regularly in maths, making it easy to spot and use in calculations.
Multiples of 10, 100, and 1000
Multiples of 10, 100, and 1000 all follow a similar pattern. The difference is the number of zeros at the end. Here’s a comparison:
| n | 10 × n | 100 × n | 1000 × n |
|---|---|---|---|
| 1 | 10 | 100 | 1000 |
| 2 | 20 | 200 | 2000 |
| 3 | 30 | 300 | 3000 |
| 4 | 40 | 400 | 4000 |
| 5 | 50 | 500 | 5000 |
Multiples of 100 and 1000 are useful when dealing with large numbers, rounding, and money.
Visualising Multiples of 10
You can quickly identify multiples of 10 by using a number line, where every jump of 10 lands on a new multiple. This is called skip counting by 10, and it is helpful in understanding how patterns form in numbers.
Multiples of 10 – Step-by-Step Example
Let’s find out if 120 is a multiple of 10 and list the multiples of 10 between 30 and 100:
1. To check if 120 is a multiple of 10, divide 120 by 10.
120 ÷ 10 = 12
Since the remainder is 0, 120 is a multiple of 10.
2. Multiples of 10 between 30 and 100 are:
Start at 40 (next after 30): 40, 50, 60, 70, 80, 90, 100.
Practice Problems
- Find the first five multiples of 10.
- Is 48 a multiple of 10?
- List all multiples of 10 between 30 and 60.
- Which of the following are not multiples of 10: 12, 15, 18, 50?
Multiples of 10 vs Factors of 10
Many students mix up multiples and factors. Multiples of 10 are produced by multiplying 10 by any whole number (10, 20, 30, etc.). Factors of 10 are the numbers that divide 10 exactly (1, 2, 5, and 10). To learn more, explore the factors of 10 page.
Common Mistakes to Avoid
- Confusing multiples of 10 with factors of 10.
- Missing a zero at the end when multiplying by 10.
- Thinking any number ending in zero is always a multiple of 10 (it must be an exact product, with no remainder).
Real-World Applications
The concept of multiples of 10 appears in areas such as packaging (groups of 10), currencies, measurements, and rounding off large numbers. Vedantu helps students see how maths applies beyond the classroom with real-life examples. Understanding multiples of 10 also supports mental math and makes quick calculations easier.
Further Learning – Related Topics
Explore more about related multiples:
Multiples of 4 |
Multiples of 15 |
Multiples of 9 |
What are Multiples? |
LCM |
Table of 10
We explored the idea of multiples of 10, how to find and apply them, solved exam-style problems, and discussed their relevance in school and daily life. Practice these concepts regularly with Vedantu and build strong maths skills for exams and real-world success.
FAQs on Multiples of 10: Meaning, Examples & Quick Reference
1. What is a multiple of 10?
A multiple of 10 is any number that can be expressed as 10 × n, where n is an integer. This means the number can be divided by 10 without leaving a remainder. Examples include 10, 20, 30, 40, and so on.
2. How do you find the multiples of 10?
To find the multiples of 10, you multiply 10 by whole numbers (1, 2, 3, 4, etc.). Alternatively, you can repeatedly add 10 to get subsequent multiples. For example, 10, 20 (10 + 10), 30 (20 + 10), and so forth.
3. What are the first five multiples of 10?
The first five multiples of 10 are 10, 20, 30, 40, and 50. These result from multiplying 10 by 1, 2, 3, 4, and 5 respectively.
4. What is the rule for multiples of 10?
The rule for multiples of 10 is that the number must end with a zero when written in decimal form. This means any number ending with zero is divisible by 10, making it a multiple of 10.
5. What are the factors of 10?
The factors of 10 are natural numbers that divide 10 exactly without a remainder. They are 1, 2, 5, and 10. Unlike multiples, factors are limited in number.
6. Why is 25 not a multiple of 10?
25 is not a multiple of 10 because it does not satisfy the rule for multiples of 10. It does not end with zero and 25 ÷ 10 leaves a remainder of 5. Hence, 25 is not exactly divisible by 10.
7. Why do students confuse multiples with factors?
Students often confuse multiples and factors because both involve division and are related to numbers. However, multiples are numbers obtained by multiplying a given number by whole numbers, and factors are numbers that divide the given number exactly. Understanding this distinction is crucial for solving math problems correctly.
8. Is zero considered a multiple of 10?
Yes, zero (0) is considered a multiple of 10 because 10 multiplied by 0 equals 0, and 0 divided by 10 leaves no remainder. Thus, 0 fits the definition of a multiple of 10.
9. Can numbers be multiples of both 5 and 10?
Yes, numbers that are multiples of 10 are always multiples of 5 because 10 itself is a multiple of 5. For example, 20 is a multiple of both 5 and 10 since it can be expressed as 10 × 2 and also 5 × 4.
10. How does knowing multiples help in quick calculations and estimation?
Knowing multiples helps in performing quick calculations, estimation, and solving problems efficiently. For example, understanding multiples of 10 facilitates fast multiplication, division, and rounding off numbers, which is useful in exams and daily life calculations.
11. What are common examples of multiples of 10 in real life?
Common examples of multiples of 10 in real life include prices ending in 10s, measurement units like 10 meters or 20 kilograms, and time intervals like 10 minutes or 30 minutes. Recognizing these helps apply math concepts practically.
12. How can students quickly identify multiples of 10 on a number line?
Students can identify multiples of 10 on a number line by looking for marks or points at intervals of 10 units, starting from zero. These points represent multiples like 10, 20, 30, and so on, making it easy to visualize the sequence.
