Table of 29

Introduction

Multiplication is one of the four fundamental operations taught in primary education and it is widely believed that the lessons learned during these early stages will be remembered for a lifetime. Through learning multiplication tables, individuals become familiar with the series of multiples for a given number and can easily compute the results through repetitive addition.

Mastering multiplication tables can greatly simplify everyday calculations and help to improve mental agility and computational speed. Understanding mathematical problems become effortless as the foundation of multiplication is strengthened.

It is interesting to note that the ancient Babylonians, who lived around 2500 B.C., were the pioneers of using tables for mathematical purposes. They were the first to harness the power of multiplication tables and lay the foundation for the mathematical advancements of future generations.

Explanation

• Multiplication can also be called repeated addition. In the below example, it is showman adding 4 five times we get the result same as 4 multiplied by 5.

• When we multiply two numbers. For example, 4\times 5=20

• We can say that 4 is multiplied by 5.

• The sign of multiplication is denoted by “x”, “*” or “.”.

• The first number is called “multiplier” and the second number is called “multiplicand”. The answer obtained is called a “Product”. The 4 is multiplied, 5 is multiplicand and 20 is the product.

Facts

• When we multiply any number by zero, the answer will always be zero.

6\times 0 = 0

• When any number is multiplied by 1, we get the number itself.

6\times 1 = 6

• The order of multiplier and multiplicand doesn't matter. This shows multiplication is associative.

6\times 1 = 6 \\1\times 6 = 6

• It is also Commutative.If there are three or more integers and we rotate the numbers the product remains the same.

• Multiplication is distributive. ie if there are three integers A, B, and C then

Ax(B+C)= AxB+AxC.

• The obtained products are divisible by a given number. For example, 6 and 9 are divisible by 3.

Table of 29

In its additive form, the table of 29 looks as follows

29 = 29

29 +29 = 58

29 + 29 + 29 = 87

29 + 29 +29 +29 = 116

29 + 29 +29 + 29 + 29 = 145

29 + 29 + 29 + 29 + 29 + 29 = 174

29 + 29 +29 +29 + 29 + 29 + 29 = 203

29 + 29 +29 +29 + 29 + 29 +29 +29 = 232

29 + 29 +29 +29 + 29 + 29 +29 +29 +29 = 261

29 + 29 +29 + 29 + 29 +29 + 29 +29 + 29 + 29 = 290

In its multiplicative form, the table of 29 looks as follows

Trick to learn

For the 29's table, we can write 2 and then keep adding 3 and write down vertically. Then, we should write from 0 to 9 (bottom to top) on the right side of previously written numbers.

Solved Examples

1. What do we get if we multiply 40 by 2?

Solution:

There are two ways to find solutions. First, if we know tables we can directly write answers. The second is repetitive addition.

40\times 2=80\\40+40=80

2. If we have 1 pen for $29, How much will 8 pens cost?

Solution:

The cost of a single pen is $29.

So, for 29 pens we have to multiply 29 X 8 =232.

Therefore, 8 pens cost $232.

3. The shopkeeper sells a single cloth at $ 29, What will be the cost of 4 clothes?

Solution:

The cost of a single cloth is $29, we can double the 29 we get 58. This will be the cost of two clothes. For calculating four clothes we will double again. Now, we get 116. So, the cost of four clothes is $116.

4. How do we find the cost of 8 apples, if 1 apple costs 4 rupees?

Solution:

The cost of a single apple is 4 rupees. To find 8 apples we multiply

8 by 4 which equals 32 Thus, we get an answer as 32.

5. What will be the cost of 10 phones, if the price is 29$ each?

Solution:

If we are talking about multiplying with 10s, 100s, and 1000s, we write the number as it is and add the zeros preceded by the number. Hence, the cost will be 29 followed by 0. Thus, the cost is 290.