Table of 7: Easy Multiplication Chart & Tips
From the number of colours in a rainbow to the number of days in a week, to the number of continents in the world, all account to 7. As the number 7 is often used in the real world, learning and memorising the multiplication table of 7 at an early age is highly important. It will help students to solve problems of multiplication, division, and the fraction of large numbers with speed and accuracy.
The multiplication table of 7 is also known as Table of 7 which contains a list of numbers that are the result of the multiplication of 7 with other natural numbers (1 and above). As 7 is a unit digit number, the table of 7 is considered as a building block for other multiplication tables.
FAQs on Table of 7: Easy Multiplication Chart & Tips
1. What is the fundamental principle of the 7 times table?
The fundamental principle of the 7 times table is based on repeated addition. Each product in the table is the result of adding the number 7 a certain number of times. For instance, 7 x 4 is the same as adding 7 four times (7 + 7 + 7 + 7), which equals 28. This concept is key to understanding how multiplication works.
2. What are the first 10 products in the multiplication table of 7?
The first 10 products in the multiplication table of 7, as per the CBSE/NCERT syllabus for primary classes, are essential for building a strong foundation in maths. They are:
- 7 × 1 = 7
- 7 × 2 = 14
- 7 × 3 = 21
- 7 × 4 = 28
- 7 × 5 = 35
- 7 × 6 = 42
- 7 × 7 = 49
- 7 × 8 = 56
- 7 × 9 = 63
- 7 × 10 = 70
3. Is there a simple trick to quickly write out the 7 times table?
Yes, a popular trick uses a 3x3 grid (like a tic-tac-toe board) to quickly generate the table up to 7 x 9. Here’s how it works:
- Step 1: Number the squares from 1 to 9, starting from the top-right corner and moving downwards.
- Step 2: Add the tens digits. Starting from the top row, write 0, 1, and 2.
- Step 3: In the second row, repeat the last digit (2), and continue with 3 and 4.
- Step 4: In the final row, repeat the last digit (4), and continue with 5 and 6.
4. How is the 7 times table used in real-life examples?
The 7 times table is very practical and appears frequently in daily life. For example, it helps you calculate:
- The total number of days in a group of weeks, since there are 7 days in a week. (e.g., 5 weeks have 5 x 7 = 35 days).
- The total cost of multiple items that are priced at ₹7 each.
- Scheduling recurring events, such as a class that happens every 7 days.
5. How can knowing other multiplication tables help me learn the 7 times table?
You can use the commutative property of multiplication, which states that changing the order of numbers does not change the product (e.g., a × b = b × a). If you already know your 1 to 6 times tables, you already know most of the 7s table. For example, 7 x 4 is the same as 4 x 7, which is 28. This trick means you only need to focus on memorising a few new facts like 7 x 7, 7 x 8, and 7 x 9.
6. Why do the last digits of the 7 times table have a repeating pattern?
The last digits of the products in the 7 times table follow a unique, repeating cycle: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0. This pattern occurs because our number system is base-10. As you continuously add 7, the unit's digit (the last digit) cycles through these ten specific numbers before repeating. Recognising this pattern is an advanced technique that can help you quickly check if a large number could be a multiple of 7.
7. If I know 7 x 5, how does that help me find 7 x 6?
Understanding the relationship between consecutive multiples makes learning easier. If you know that 7 x 5 = 35, you can find 7 x 6 by simply adding one more group of 7. The answer is 35 + 7, which is 42. This strategy of building upon known facts is more effective than rote memorisation and is a core concept in the NCERT approach to multiplication.
