Table of 320

Introduction

Multiplication is a fundamental arithmetic operation that is usually introduced to students in the primary stages of their education. Early learning experiences of multiplication are believed to have a long-lasting impact, and multiplication tables are a valuable tool for memorizing multiples of a given number. These tables can also be obtained by adding the number in every step. Not only do multiplication tables make everyday calculations easier, but they can also help children develop their mental abilities and increase their calculation speed. Moreover, a solid understanding of multiplication tables can make problem-solving easier. The roots of multiplication tables can be traced back to the ancient Babylonians, who first used tables around 2500 B.C.(Before Christ). This age-old method remains just as useful today and continues to be an important foundation for learning and understanding mathematics.

Explanation

Multiplication is a basic arithmetic operation that involves combining two or more numbers to obtain a new number that represents the total value of the combined numbers. To perform multiplication, you first need to identify the multiplier and the multiplicand. Then, you write them in the standard multiplication format, with the multiplier on top and the multiplicand on the bottom, separated by a multiplication sign. Next, you multiply the multiplicand by each digit of the multiplier, starting from the rightmost digit and moving left. As you multiply, you write down the products and carry over any digits that exceed 10 to the next position. Finally, you 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. This is a simple and efficient way to multiply numbers of any size, and it forms an essential foundation for more advanced mathematical operations.

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

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

• Multiplication is distributive. 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

1. What do we get if we multiply 320 by 74?

We can also write 320 as 300+20. So, by the distributive property, we can multiply 74 by 300 which gives 22,200 and now multiply 74 by 20 which gives 1,480.By adding we get 23,680.

2. How much will 320 shirts cost, if single shirts cost 40rs?

If we multiply 32 by 4 we get 128. Add the remaining two zeros at last place we get 12800. The cost of the shirts is 12,800rs.

3. What do we get if we multiply 320 by 1000?

We know for any number ending with zeros we write the number and add zeros. So, 32 followed by four zeros we get 3,20,000.

4. If I buy a farmhouse worth Rs 3,24,570. What will it be worth?

We already know that any number multiplied by one gives the number itself. So, the worth will be Rs 3,24,570.

5. If we multiply $320 by 2, what do we get?

The first method is to learn the table we get a direct answer as ‘640’. The second method is by repeated addition. Adding $320 twice we get $640. So, the answer obtained is the same.

Table

Addition form:

320 = 320

320 + 320 = 640

320 + 320 + 320 = 960

320 + 320 + 320 + 320 = 1280

320 + 320 + 320 + 320 + 320 = 1600

320 + 320 + 320 + 320 + 320 + 320 = 1920

320 + 320 + 320 + 320 + 320 + 320 + 320 = 2240

320 + 320 + 320 + 320 + 320 + 320 + 320 + 320 = 2560

320 + 320 + 320 + 320 + 320 + 320 + 320 + 320 + 320 = 2880

320 + 320 + 320 + 320 + 320 + 320 + 320 + 320 + 320 + 320 = 3200

Trick To Learn

Multiplication tables are a fundamental tool for learning and understanding mathematics. To create the 32's table, we start by writing the table of 3 from top to bottom and the table of 2 from left to right. Next, we multiply each number in the 3's table by each number in the 2's table and write the products in the corresponding positions. However, in cases where the products contain more than one digit, we add the middle two digits and then write down the result. This gives us the 32's table. To extend this table further, we can add a single zero at the end of each number to obtain 320's table. This method is a simple yet effective way to create multiplication tables for any combination of numbers, and it can be an invaluable aid for students and educators alike in mastering basic arithmetic operations.