How to Easily Remember the Multiplication Table of 75
FAQs on Table of 75 – Learn and Memorize Multiplication Fast
1. What is the multiplication table of 75 and how is it created?
The multiplication table of 75 lists the results of multiplying 75 by whole numbers (1, 2, 3, and so on). It is created through the process of repeated addition. You start with 75 and continuously add 75 to get the next multiple. For example:
75 × 1 = 75
75 × 2 = 75 + 75 = 150
75 × 3 = 150 + 75 = 225
75 × 4 = 225 + 75 = 300
2. Why is it important for students to learn the 75 times table?
Learning the 75 times table is important as it significantly improves calculation speed and mental maths skills. It builds a strong foundation for more complex mathematical concepts like percentages, fractions, and algebra. Mastering multiplication tables helps in solving problems quickly and accurately, especially in exams where calculators are not permitted.
3. What is a simple trick to memorise the 75 times table quickly?
A simple trick to memorise the 75 times table is to recognise the pattern in its last two digits. The last two digits of the multiples of 75 always follow a cycle: 75, 50, 25, 00. For instance:
75 × 1 = 75
75 × 2 = 150
75 × 3 = 225
75 × 4 = 300
75 × 5 = 375
Remembering this pattern can make recalling the multiples much easier.
4. How can the table of 75 be used to solve a larger multiplication problem, such as 75 × 16?
You can use the distributive property of multiplication to solve larger problems. To calculate 75 × 16, you can break 16 down into (10 + 6) and use the values from the table:
First, write the problem as: 75 × (10 + 6)
Next, distribute 75: (75 × 10) + (75 × 6)
Using the table, you know that 75 × 10 = 750 and 75 × 6 = 450.
Finally, add the results: 750 + 450 = 1200. Thus, 75 × 16 = 1200.
5. How can you check if any large number is a multiple of 75?
To check if a number is a multiple of 75, you need to verify if it is divisible by both 3 and 25, since 3 × 25 = 75. You can use these two simple tests:
Divisibility by 25: The number must end in 00, 25, 50, or 75.
Divisibility by 3: The sum of the number's digits must be divisible by 3.
For example, to check the number 675: it ends in 75 (divisible by 25), and the sum of its digits is 6 + 7 + 5 = 18 (which is divisible by 3). Since it passes both tests, 675 is a multiple of 75.
6. Where might you use the 75 times table in a real-world example?
The 75 times table is useful in real-world scenarios involving money, measurements, or quantities. For example, if a group of 8 friends buys tickets for an event that cost ₹75 each, you can quickly calculate the total cost using the table. You would find 75 × 8, which equals ₹600. This avoids manual addition and makes calculations more efficient.
