Table of 32 - Multiplication Tables

Table of 32

Edited By Team Careers360 | Updated on Aug 07, 2023 05:15 PM IST

Introduction

One of the four fundamental mathematical operations, multiplication is typically not introduced until later in a student's primary education. However, it is important to note that early learning experiences of multiplication can have a significant impact on long-term memory retention. Learning multiplication tables can provide a list of multiples for a given number, which can be obtained by repeatedly adding the number in increments. Proficiency in multiplication tables can facilitate everyday calculations and improve mental math skills. Moreover, the ability to quickly and accurately perform these calculations can improve the overall understanding of mathematical problems. The use of multiplication tables dates back to ancient Babylonians around 2500 B.C.(Before Christ), who were known to have developed this method.

Explanation

Multiplication is an arithmetic operation that involves combining two or more numbers to obtain a new number that represents the total value of the combined numbers. The process of multiplication involves the following steps:
Identify the two or more numbers that you want to multiply together. These numbers are typically referred to as the multiplier and the multiplicand.
Write the numbers in the standard multiplication format, with the multiplier on top and the multiplicand on the bottom. For example, to multiply 3 and 4, you would write 3 on top and 4 on the bottom, separated by a multiplication sign (i.e., 3 x 4).
Multiply the multiplicand by each digit of the multiplier, starting from the rightmost digit and moving left. For example, to multiply 3 and 4, you would first multiply 4 by 3, which equals 12.
If the product is a single-digit number, write it down in the corresponding position. If the product is a two-digit number, write down the rightmost digit in the corresponding position and carry over the leftmost digit to the next position. For example, in product 12, you would write down 2 in the corresponding position and carry over the 1 to the next position.
Continue the multiplication process until you have multiplied each digit of the multiplier by the multiplicand.
Finally, add up all of the products to obtain the final result, which is the product of the two or more numbers that you started with.

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.

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

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I.e It is 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.

Solved Examples

How much do we pay if we buy 6 jackets for $32 and $6 for 32 pens?

We have seen the commutative property which says In multiplication order doesn't matter. So, The cost for both jackets and pens will be $192 and $192 respectively.

If we have 1 jacket for $32, How much will 9 jackets cost?

The cost of a single jacket is $32. So for 9 jackets, We can see from the multiplication table directly the answer is 288. Therefore, 9 jackets cost $288.

The shopkeeper sells a single cap at $ 32, What will be the cost of 4 caps?

The cost of a single cap is $32, we can double the 32, and we get 64. This will be the cost of two caps. For calculating four caps we will double again. Now, we get 128. So, the cost of four caps is $128.