FAQs on Table of 60: Multiplication Chart, Tricks & Practice
1. What is the Table of 60?
The Table of 60, also known as the sixty times table, lists the multiples of 60. It's a sequence of numbers obtained by repeatedly adding 60 or multiplying 60 by consecutive whole numbers (1, 2, 3, and so on). Understanding the Table of 60 is crucial for efficiently solving multiplication and division problems, calculating LCM (Least Common Multiple), and tackling various word problems involving quantities that are multiples of 60, such as minutes, hours, and dozens.
2. How do you write the 60 times table up to 10 and 20?
Here's the 60 times table up to 20, both numerically and in words:
Numerically:
60 x 1 = 60
60 x 2 = 120
60 x 3 = 180
60 x 4 = 240
60 x 5 = 300
60 x 6 = 360
60 x 7 = 420
60 x 8 = 480
60 x 9 = 540
60 x 10 = 600
60 x 11 = 660
60 x 12 = 720
60 x 13 = 780
60 x 14 = 840
60 x 15 = 900
60 x 16 = 960
60 x 17 = 1020
60 x 18 = 1080
60 x 19 = 1140
60 x 20 = 1200
In words (examples):
Sixty times one is sixty.
Sixty times two is one hundred and twenty.
Sixty times ten is six hundred.
3. How can I learn and remember the Table of 60 easily?
Learning the Table of 60 is simplified by recognizing its connection to the Table of 6. To find the product of any number multiplied by 60, first multiply the number by 6 and then add a zero to the result. For example: 60 x 8 = (6 x 8) with a zero added, making it 480. Regular practice, using flashcards, writing the table repeatedly, and applying it in solving problems will solidify your understanding.
4. What are the patterns in the Table of 60 that help calculations?
The Table of 60 exhibits several patterns that aid calculation. The ones digit is always 0. The tens and hundreds digits follow the pattern of multiples of 6 (6, 12, 18, 24, etc.). Understanding this pattern can facilitate mental calculation and faster problem-solving.
5. Where is the table of 60 used in maths word problems?
The Table of 60 is particularly useful in word problems involving time (minutes, hours), dozens of items, or any scenario where quantities are multiples of 60. For example, problems involving calculating the total cost of items sold in dozens, determining distances covered at a speed of 60 units per hour, or calculating total time spent on activities that last 60 minutes each, all benefit from applying the 60 times table.
6. How do higher table numbers like 60 connect with LCM, HCF, and divisibility?
Understanding the Table of 60 aids in finding the LCM (Least Common Multiple) and HCF (Highest Common Factor) of numbers that are multiples of 60 or contain 60 as a factor. It also helps in determining divisibility rules; a number is divisible by 60 if it's divisible by both 4 and 15 (or 3 and 20) and ends in a zero.
7. Why do competitive exams sometimes use large tables including 60, 80, and 100?
Competitive exams often include larger tables like the Table of 60 to assess a student's ability to perform quick calculations with larger numbers and to test their understanding of number patterns and relationships. These questions evaluate problem-solving speed and accuracy under pressure.
8. Are there Vedic or mental maths tricks for multiplying by 60 mentally?
Yes, several mental math techniques can streamline multiplying by 60. One method involves multiplying by 6 and adding a zero. Other techniques, rooted in Vedic mathematics, might leverage specific patterns or methods to achieve faster mental calculations. These methods often require practice to master.
9. How is the Table of 60 related to time conversion (hours-minutes)?
The Table of 60 is directly relevant to time conversions because there are 60 minutes in an hour. This makes it essential for solving word problems related to duration, speed, and time-based calculations. For example, converting hours to minutes, or minutes to hours involves direct application of this table.
10. What mistakes do students often make with big number tables like 60?
Common mistakes with larger tables include: forgetting to add the zero after multiplying by 6; confusing the Table of 60 with the Table of 6 or 600; making errors in carrying over digits during multiplication; and failing to apply the table correctly in word problems. Practice and careful attention to detail can help avoid these pitfalls.
11. What are some real-life applications of the Table of 60?
Beyond mathematics, the Table of 60 finds practical applications in various real-world scenarios. For instance, in calculating the total cost of items purchased in dozens (12 items per dozen); determining the total running time of events lasting 60 minutes; calculating distances covered at a speed of 60 km/hour. The applications extend to various fields including finance, time management and distance calculations.
12. How is the table of 60 useful for solving problems involving speed, distance, and time?
The Table of 60 is very helpful when dealing with problems involving speed, distance, and time, especially when the speed is a multiple of 60 units (e.g., 60 km/h, 60 miles/h). Since Distance = Speed x Time, if the speed is 60 units, finding the distance is a simple multiplication problem using the 60 times table. Similarly, you can easily calculate the time if the distance and speed are known.
