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Maths

Table of 31 – Multiplication Chart, Tricks & Practice

Table of 31 – Multiplication Chart, Tricks & Practice

What Is Table of 31?

The multiplication table of 31 is one of the easiest tables to learn and practice. The operation of multiplication has applications in almost every other sum. So learning multiplication tables enhances your speed of solving Math problems to a great extent.

When you know the multiplication tables, you do not need to go for the long two-step or three-step multiplications for Math calculations. Instead, you can solve the sums mentally. Hence, learning the multiplication table of 31 is important to improve your mental Math skills as well.

Speed Tricks

To find the second multiple in the table of a number ‘M’, we have to add the number to itself once, that is, M x 2 = M + M. Thus, to write down the multiplication table of 31, find its multiples by adding 31 to itself for the desired number of times. For example, if you are to find 31 x 4, add 31 to itself four times, that is, 31 + 31 + 31 + 31 = 124.

Table Chart of 31 from 1 to 10

The table below displays the first 10 multiples of 31 for the self-study purpose of students.

31 x 1 = 31	31 x 6 = 186
31 x 2 = 62	31 x 7 = 217
31 x 3 = 93	31 x 8 = 248
31 x 4 = 124	31 x 9 = 279
31 x 5 = 155	31 x 10 = 310

Try These Yourself

Now let us find out how the multiplication table of 31 is applied for solving some easy math problems. Once you learn the table of 31 by heart, solving these math problems will take very less time. It is because you don’t have to go for the long multiplication method to find the multiples of 31.

Simplify

a. 10 - (31 x 4) + 17

Solution:

= 10 - (31 x 4) + 17

= 10 - 124 +17

= 27 - 124

= -97

Ans. - 97

b. 2a + 31( 10 - 4)a

Solution:

= 2a + 31( 10 - 4)a

= 2a + 31 (6) a

= 2a + 31 x 6a

= 2a + 186a

= 188a

Ans. 188a

Word Problems on Multiplication Table of 31

1. Amit can read 10 pages in 31 minutes. How long will it take Amit to read 30 pages?

Solution:

Time taken by Amit to read 10 pages= 31 minutes

Time taken by Amit to read 1 page = (\[\frac{31}{10}\]) minutes

Time taken by Amit to read 30 pages = (\[\frac{31 x 30}{10}\]) minutes

= (31 x 3) minutes

= 93 minutes

Ans. Amit will take 93 minutes to read 30 pages.

2. A shopkeeper sells 12 apples for Rs. 24. Find out how much will Ravi have to pay to buy 31 apples?

Solution:

Cost of 12 apples = Rs. 24

Cost of 1 apple = Rs. 24/12

= Rs. 2

Cost of 31 apples = Rs. (31 x 2)

= Rs. 62

Ans. Ravi will have to pay Rs. 62 to buy 31 apples.

3. The price of 1 ink pen is Rs. 31. Tina wants to buy 12 ink pens for her brother. Calculate how much she will have to pay?

Solution:

The price of 1 ink pen = Rs. 31

The price of 12 ink pens = Price of 10 ink pens + Price of 2 ink pens

= Rs. {(31 x 10) + 31 + 31}

= Rs. 310 + 31 + 31

= Rs. 372

Ans. Tina will have to pay Rs. 372 to buy 12 ink pens.

Practice Questions:

1. Mohan buys a pair of socks for Rs. 31. What amount of money will he have to pay to buy 5 pairs of the same socks?

Ans: Rs. 155

2. Kabir scored 96 and 93 in Maths and English in his final exam. He scored 31 in Social Science and Hindi, and 84 in Science. Calculate his total score in the exam.

Ans: 335

Table Chart of 31 from 11 to 20

Knowing the first twenty multiples of the 31 table will give you an added advantage for solving various Math problems. You will not have to go for the long multiplication method to calculate the multiples of 31 while solving a word problem or simplifying a numerical sum. Instead, you will be able to write the multiple right away once you memorize the multiplication table of 31 from 1 to 20.

The image given below displays the multiples of the table of 31 from 11 to 20. Learn it by heart and practice writing it to memorize the multiples.

31 x 11 = 341	31 x 16 = 496
31 x 12 = 372	31 x 17 = 527
31 x 13 = 403	31 x 18 = 558
31 x 14 = 434	31 x 19 = 589
31 x 15 = 465	31 x 20 = 620

For Parents and Teachers: How to Read out the Table of 31 to Your Kids?

To encourage kids to learn the table of 31, it is suggested that parents and teachers must read out the 31 tables loudly to them. The ideal way to read out the multiplication table of 31 to your kids is given below.

Thirty-one ones are thirty-one
Thirty-one twos are sixty-two
Thirty-one threes are ninety-three
Thirty-one fours are one hundred and twenty-four
Thirty-one fives are one hundred and fifty-five
Thirty-one sixes are one hundred and eighty-six
Thirty-one sevens are two hundred and seventeen
Thirty-one eighths are two hundred and forty-eight
Thirty-one nines are two hundred and seventy-nine
Thirty-one tens are three hundred and ten

Wrapping It All Up!

Memorizing the table of 31 should ideally not consume much time as you can calculate the multiples of 31 mentally within a few minutes. Yet, having learned the 31 table by heart will help you speed up solving sums with its applications.

Implement the tips and tricks discussed above to learn the table of 31 and practice more sums based on it to have it at your fingertips. Remember, practice is your key for learning the table of 31 by heart.

FAQs on Table of 31 – Multiplication Chart, Tricks & Practice

1. What is the table of 31?

The table of 31, also known as the 31 times table or multiples of 31, shows the results of multiplying the number 31 by consecutive integers. It's a fundamental concept in mathematics used for quick calculations and problem-solving. Learning the table of 31 improves your speed and accuracy in multiplication and division.

2. How do I learn the 31 times table quickly?

Memorizing the 31 times table can be achieved using several techniques: * **Repeated Addition:** Add 31 repeatedly (31 + 31 = 62, 62 + 31 = 93, and so on). * **Pattern Recognition:** Observe patterns in the digits (e.g., units digits). * **Chunking:** Memorize smaller sections of the table at a time (e.g., 1-5, 6-10, etc.). * **Flashcards:** Use flashcards with the multiplication problem on one side and the answer on the other. * **Practice Problems:** Solve word problems and mathematical examples that use the 31 times table.

3. What are some tricks to memorize the 31 times table?

There are several memory tricks to help learn the 31 times table faster. Some students find it easier to break down the multiplication into smaller, manageable parts. For instance, they might memorize 31 x 5 = 155 and then build upon that knowledge to find 31 x 6, 31 x 7, and so on by simply adding 31 to the previous result. Another strategy is to focus on the patterns that emerge in the last digits of the multiples. These patterns can act as visual cues, assisting in recall.

4. What are the first 10 multiples of 31?

The first ten multiples of 31 are: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310. These are obtained by multiplying 31 by the integers 1 through 10.

5. How can I use the 31 times table to solve word problems?

Word problems often involve scenarios requiring multiplication. By recognizing the need to multiply by 31, you can quickly apply the table's values to find the answer. For example, if a problem states that a box holds 31 apples, and you need to find the total number of apples in 5 boxes, you can use the table to find that 31 x 5 = 155 apples.

6. Is there a printable version of the 31 times table?

Yes, a printable version of the 31 times table is available for download on the Vedantu website. This printable chart can be a handy revision tool.

7. What are some real-life applications of the 31 times table?

The 31 times table, while less frequently encountered in everyday life than tables like 2 or 10, can still prove useful in various situations. For example, it could be helpful in scenarios involving calculations related to groups of 31 items, like calculating the total cost of 31 identical products or determining the total distance covered by making 31 trips of a fixed length.

8. How is the 31 times table useful in competitive exams?

Knowing the 31 times table can significantly improve your speed and accuracy in solving mathematical problems during competitive exams. Quick recall of multiplication facts saves time, allowing you to focus on more complex aspects of the problems.

9. Are there any patterns in the units digits of the multiples of 31?

While not as immediately obvious as some other multiplication tables, there are subtle patterns in the units digits of multiples of 31. Observing these patterns can aid in memorization. The units digits repeat in a cycle, although the cycle is not short.

10. How does knowing the 31 times table help with division problems?

Familiarity with the 31 times table directly assists in performing division problems. If you encounter a division problem where the divisor is 31, knowing the multiples of 31 allows for quick identification of the quotient.

11. Can I use the 31 times table to check for divisibility by 31?

While there isn't a simple divisibility rule like those for 2, 5, or 10, knowing the 31 times table can indirectly help in determining divisibility. If a number is easily expressed as a multiple of 31 from your memorized table, you know it's divisible by 31. Otherwise, long division is necessary.