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Table of 22

Table of 22

Edited By Team Careers360 | Updated on Feb 13, 2023 11:22 AM IST

Introduction:

The table of 22, a fundamental tool in arithmetic, is created through repeated addition of the number 22. By following this process, each number in the table represents the product of 22 and a whole number. The fact that 22 is a prime number and the product of two prime numbers (2 and 11), makes it a unique and valuable tool for understanding the patterns and properties of multiplication. The ability to recall the times table of 22 and other numbers allows for faster and more efficient mental calculation, making it a valuable skill for problem-solving and arithmetic mastery.

Mathematical Operations to Calculate Tables:

A times table can be calculated by using two mathematical operations.

a) Multiplication

The table of multiplication can be obtained by multiplying a number with a set of whole numbers. Multiplication is one of the basic mathematical operations and most commonly used approach to get the multiplication tables.

For example, multiplication table of 5 is given by:

5 × 1 = 5

5 × 2 = 10

5 × 3 = 15

b) Repeated Addition

Repeated addition is adding equal groups together, which is the same as the multiplication. If the exact number is repeated, then we can write repeated addition in the form of multiplication. Repeated addition is also helpful in learning multiplication facts. For example if you are not familiar with 4 × 3 , you may find it easier to work out 4 × 3 by writing 3 + 3 + 3 + 3 or 4 + 4 + 4; and then slowly adding. It may also be helpful with larger numbers, such as 7 × 50. It is more comfortable writing 50 + 50 + 50 + 50 + 50 + 50 + 50 and then adding on the tens.

● The concept of repeated addition is introduced to children in an interactive and engaging manner, which helps them to grasp the idea of multiplication.

● By solving repeated addition problems, kids can understand the relationship between addition and multiplication, which is crucial for solving more complex math problems in the future.

● It is a simple yet effective way of learning basic multiplication facts and helps with building a strong foundation for advanced mathematical concepts.

● Repeated addition is also a fun and interactive way for kids to learn and explore the world of numbers, and it can be used to reinforce their understanding of arithmetic operations.

What is 22 Times Table:

22

22 + 22 = 44

22 + 22 + 22 = 66

22 + 22 + 22 + 22 = 88

22 + 22 + 22 + 22 + 22 = 110

22 + 22 + 22 + 22 + 22 + 22 = 132

22 + 22 + 22 + 22 + 22 + 22 + 22 = 154

22 + 22 + 22 + 22 + 22 + 22 + 22 + 22 = 176

22 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 22 = 198

22 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 22 = 220

Table of 22:

22 × 1 =

22

22 × 11 =

242

22 × 2 =

44

22 × 12 =

264

22 × 3 =

66

22 × 13 =

286

22 × 4 =

88

22 × 14 =

308

22 × 5 =

110

22 × 15 =

330

22 × 6 =

132

22 × 16 =

352

22 × 7 =

154

22 × 17 =

374

22 × 8 =

176

22 × 18 =

396

22 × 9 =

198

22 × 19 =

418

22 × 10 =

220

22 × 20 =

440

How to Read Table 22:

· One time twenty-two is twenty-two.

· Two times twenty-two is forty-four.

· Three times twenty-two is sixty-six.

· Four times twenty-two is eighty-eight.

· Five times twenty-two is one hundred and ten.

· Six times twenty-two is one hundred and thirty-two.

· Seven times twenty-two is one hundred and fifty-four.

· Eight times twenty-two is one hundred and seventy-six.

· Nine times twenty-two is one hundred and ninety-eight.

· Ten times twenty-two is two hundred and twenty

· Eleven times twenty-two is two hundred and forty-two.

· Twelve times twenty-two is two hundred and sixty-four.

· Thirteen times twenty-two is two hundred and eighty-six.

· Fourteen times twenty-two is three hundred and eight.

· Fifteen times twenty-two is three hundred and thirty.

· Sixteen times twenty-two is three hundred and fifty-two.

· Seventeen times twenty-two is three hundred and seventy-four.

· Eighteen times twenty-two is four hundred and ninety-six.

· Nineteen times twenty-two is four hundred and eighteen.

· Twenty times twenty-two is four hundred and forty.

Tips for 22 Times Table:

1. To memorise the 22 times table, we first need to memorise the 2 times table. The first 10 multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.

2. The digits are always the whole number we multiply with. The digit in one's place is an even number obtained by multiplying 2 with the whole number and then add the ten's place.

3. We can find the product of 22 with any number by multiplying the number by 2 first. From the number 5, we then add up the products. For example, 22 times 6 = (2 times 6) + (2 times 6) = 12 + 12 = (12+1)2 = 132 and 22 times 9 = (2 times 9) + (2 times 9) = 18 + 18 = (18+1)8 = 198.

Solved Problems of Table 22:

Example-1:

A shopkeeper has 22 pen boxes in his shop. If each box has 25 pens, then find the total number of pens?

Solution:

Given,

Number of pen boxes = 22

Number of pens in a pen box = 25

Using the table of 22, 22 × 25 = 550.

Thus, the total number of pens in the shop = 22 × 25 = 550

\begin{equation}

22 \times 25=550

\end{equation}

1675673971421

Example-2:

The price of a book is 22 rupees. If Mahesh wants to buy 32 books, how much should he pay?

Solution:

Given,

Price of each book = 22

Number of books Mahesh wants to buy = 32

Using the table of 22, 22 × 32 =704.

Therefore, to buy the total number of books, Mahesh should pay = 22 × 32 = 704 rupees.

\begin{equation}

22 \times 32=704

\end{equation}

1675673971696

Example-3:

If Arjun can walk 7 kilometres per hour, how much distance will he cover in 22 hours?

Solution:

Given,

Distance travelled by Arjun in one hour = 7

Total time Arjun travelled = 22

Using the table of 22, 7 × 22 = 154.

Therefore, the total distance travelled by Arjun in 22 hours = 22 × 16 = 154 km.

\begin{equation}

7 \times 22=154

\end{equation}

1675673971834

Example-4:

A carton contains 22 boxes of nails, and each box weighs 3 kg. How much would a carton of nails weigh?

Solution:

Given,

Total number of boxes = 22

Weight of each box = 3

Using the table of 22, 22 × 3 = 66.

Therefore, the total weight of carton of nails = 22 × 3 = 66 kg

\begin{equation}

22 \times 3=66

\end{equation}

1675673971562

Example-5:

If a car travels at 22 km per hour, how much distance will it cover in 10 hours?

Solution:

Given,

Distance travelled by a car in one hour =22

Total time travelled = 10

Using the table of 22, 22 × 10 = 220.

Therefore, the total distance travelled by car in 10 hours = 22 × 10 = 220 km.

\begin{equation}

22 \times 10=220

\end{equation}

1675673971975

Uses of Multiplication Table of 22:

Memorizing the multiplication table of 22 can have a significant impact on a student's math skills as it offers several benefits. Not only does it aid in mental math, allowing for quicker calculation and problem-solving, but it also reveals patterns in the sequence of multiples. This understanding of patterns can lead to an improved ability to visualize mathematical solutions, making it easier for students to solve problems involving multiplication, subtraction, addition, and division mentally. In short, mastering the times table of 22 is an important step in enhancing one's overall mathematical ability.

Fun Facts about 22:

● 22 is a pentagonal number (Pentagonal numbers are numbers which can be arranged to form a pentagon)

● 22 is the same when its digits are reversed. That makes it a palindromic number

● 22 is a Centred heptagonal number (Centred heptagonal number is centred figure number that represents a heptagon with dot in centre and all other dot surrounding in heptagonal form)

Frequently Asked Question (FAQs)

1. What table does 22 come in?

22 comes in 2, 11, and 22 tables only.

2. How do you calculate the value of 22 times 22?

We can calculate the value of 22 times 22 either by multiplying 22 by 22 or by repeatedly adding 22 for 22 times. As the repeated addition method is a long process, we consider the first method. That means, 22 times 22 = 22 × 22 = 484 

\begin{equation}

22 \times 22=484

\end{equation}

3. What are the first 10 multiples of 22?

Multiples of 22 are any number that can be divided by 22 without any remainder. In other words, any number that can be split into multiple 22s, without anything extra. So, the first 10 multiples of 22 are: 22, 44, 66, 88, 110, 132, 154, 176, 198 and 220.

4. What are the factors of 22?

The factors of 22 are the list of integers that we can split evenly into 22. There are overall 4 factors of 22, i.e. 1, 2, 11, and 22 where 22 is the biggest factor.

5. How to write 22 in words?

 If we know the place value of the digits of 22, then we can easily express it in words. The place value is basically the position of a digit in a number. 22 is a two-digit number, therefore, we can specify the position of each digit in a place value chart. In the Indian numbering system, the order of place value of digits from right to left is given by:

Tens

Ones

2

2


We can write it in expanded form as:

 2× Ten + 2 × One

= 2 × 10 + 2 × 1

= 20 + 2

= 22

= Twenty-two

Therefore, 22 in words is written as Twenty-two.

 \begin{equation}

\begin{aligned}

& 2 \times 10+2 \times 1 \\

& 20+2 \\

& 22

\end{aligned}

\end{equation}

6. Is 22 an odd or even number?

22 is an even number because it is wholly divisible by 2.

        22/2 = 11

 \begin{equation}

22 / 2=11

\end{equation}

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