What Adds To And Multiplies To: A Comprehensive Guide

Introduction

Mathematics is a fundamental subject that has been a part of our lives since childhood. One of the most basic concepts in math is addition and multiplication. These two concepts are used in our everyday lives, and we can’t imagine living without them. This article will provide a detailed guide on what adds to and multiplies to.

What is Addition?

Addition is a mathematical operation that combines two or more quantities to form a new quantity. The symbol used to represent addition is “+”. For example, 4 + 5 = 9. In this equation, 4 and 5 are called addends, and 9 is called the sum.

What is Multiplication?

Multiplication is a mathematical operation that combines two or more quantities to form a new quantity. The symbol used to represent multiplication is “x”. For example, 4 x 5 = 20. In this equation, 4 and 5 are called factors, and 20 is called the product.

How to Add?

Adding two or more numbers is a simple process. To add numbers, we need to follow the below steps: Step 1: Write down the numbers we want to add. Step 2: Align the numbers by their place value. Step 3: Add the numbers in the same column. Step 4: Carry over if the sum is greater than 9.

Example:

Let’s add 256 and 134. Step 1: Write down the numbers we want to add. 256 134 Step 2: Align the numbers by their place value. 256 +134 Step 3: Add the numbers in the same column. 256 +134 ____ 390 Step 4: Carry over if the sum is greater than 9.

How to Multiply?

Multiplying two or more numbers is also a simple process. To multiply numbers, we need to follow the below steps: Step 1: Write down the numbers we want to multiply. Step 2: Multiply the numbers in the same column. Step 3: Add the products and carry over if necessary.

Example:

Let’s multiply 23 and 56. Step 1: Write down the numbers we want to multiply. 23 56 Step 2: Multiply the numbers in the same column. 23 x56 ___ 138 + 23 ___ 1288 Step 3: Add the products and carry over if necessary.

Properties of Addition and Multiplication:

There are certain properties of addition and multiplication that make them easy to use. The properties are as follows:

Commutative Property:

The commutative property states that changing the order of the numbers does not change the result. For example, 5 + 3 = 3 + 5 and 2 x 3 = 3 x 2.

Associative Property:

The associative property states that changing the grouping of the numbers does not change the result. For example, (4 + 3) + 2 = 4 + (3 + 2) and (2 x 3) x 4 = 2 x (3 x 4).

Distributive Property:

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. For example, 3 x (4 + 5) = 3 x 4 + 3 x 5.

Identity Property:

The identity property states that adding zero to a number does not change the result, and multiplying a number by one does not change the result. For example, 5 + 0 = 5 and 7 x 1 = 7.

Inverse Property:

The inverse property states that adding the opposite of a number to the number results in zero, and multiplying a number by its reciprocal results in one. For example, 5 + (-5) = 0 and 6 x 1/6 = 1.

Conclusion

Addition and multiplication are the two fundamental concepts of math that we use in our everyday lives. Understanding these concepts is essential for solving complex problems in math and other subjects. By following the steps and properties mentioned in this article, you can easily add and multiply numbers.