Simple Steps to Remember and Use the 67 Times Table
FAQs on Table of 67 – Learn and Memorize the Multiplication Table Easily
1. What is the multiplication table of 67?
The multiplication table of 67, also known as the 67 times table, is a list of multiples obtained by multiplying the number 67 with various whole numbers. For example, the first five multiples are 67 x 1 = 67, 67 x 2 = 134, 67 x 3 = 201, 67 x 4 = 268, and 67 x 5 = 335. Learning this table helps in performing calculations more efficiently.
2. How can you create the table of 67 using addition?
You can construct the 67 times table using the repeated addition method. Start with 67, which is 67 x 1. To get the next value (67 x 2), you add 67 to the previous result: 67 + 67 = 134. To find 67 x 3, you add 67 to 134, which equals 201. You can continue this process to build the entire table without direct multiplication.
3. What is a useful trick for calculating multiples of 67?
A common trick to calculate the table of 67 is to break the number down into (60 + 7). To find a multiple, like 67 x 8, you can calculate it in two simpler steps: first, multiply 60 by 8 (which is 480), and then multiply 7 by 8 (which is 56). Finally, add the two results together: 480 + 56 = 536. This method simplifies complex multiplication.
4. Why is it important to learn a large number table like 67 in an age of calculators?
Learning the table of 67 strengthens mental arithmetic and develops a deeper number sense. While calculators are convenient, this skill is vital for competitive exams where they are often not allowed. It improves your ability to quickly estimate calculations in real-world scenarios and builds a strong foundation for understanding more advanced mathematical topics such as factors, multiples, and algebraic expressions.
5. What whole numbers can be multiplied to get 67?
The only pair of whole numbers that can be multiplied to get 67 is 1 and 67. This is because 67 is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Therefore, 67 will not appear in any other multiplication table besides its own and the 1 times table.
6. How can knowing the table of 67 up to 10 help solve a problem like 67 x 12?
Knowing the first 10 multiples allows you to solve larger problems by breaking them down. For 67 x 12, you can use the distributive property of multiplication: 12 can be written as (10 + 2). You can then calculate:
First, find 67 x 10, which is 670.
Next, find 67 x 2, which is 134.
Finally, add these two results: 670 + 134 = 804. This method makes it easier to compute larger multiplications mentally.
7. What is the value of 67 times 11 plus 67?
This problem is another way of asking for the value of 67 x 12. First, we calculate 67 times 11. Using the table, we find 67 x 10 = 670 and 67 x 1 = 67, so 67 x 11 = 670 + 67 = 737. Now, we add 67 to this result: 737 + 67 = 804. Therefore, the final answer is 804.
