Understanding the Sum in Exercise 1.3, 5th Sum: Find the Product using Suitable Properties

In this exercise, we are required to find the product using suitable properties. To understand this concept, let's break it down step by step:

Step 1: Identify the given numbers
First, we need to identify the numbers given in the problem. For example, if the problem states "Find the product of -5 and 4", the given numbers are -5 and 4.

Step 2: Multiply the given numbers
The next step is to multiply the given numbers. In the above example, we would multiply -5 and 4 to get the product. The product of -5 and 4 is -20.

Step 3: Use suitable properties
The problem asks us to use suitable properties to find the product. Properties of multiplication can be used to simplify the calculation and make it easier.

Some properties of multiplication:
- The commutative property: Changing the order of the numbers being multiplied does not change the product. For example, 3 x 4 is the same as 4 x 3.
- The associative property: Changing the grouping of the numbers being multiplied does not change the product. For example, (2 x 3) x 4 is the same as 2 x (3 x 4).
- The distributive property: Multiplying a number by a sum or difference is the same as multiplying the number by each term individually and then adding or subtracting the products. For example, 2 x (3 + 4) is the same as (2 x 3) + (2 x 4).

Step 4: Apply suitable properties
To find the product using suitable properties, we can apply any of the properties mentioned above to simplify the calculation. For example, if the problem states "Find the product of -5 and 4 using suitable properties", we can use the commutative property to change the order of the numbers being multiplied. So, we can write it as 4 x -5, which gives us the same product of -20.

Step 5: Verify the answer
Finally, we should always verify our answer to ensure it is correct. We can do this by multiplying the numbers in the original order and confirming that it gives the same product.

Example:
Let's take an example to further illustrate this concept. Suppose the problem states "Find the product of 3 and (4 + 2) using suitable properties." Here's how we can solve it:

Step 1: Identify the given numbers: 3 and (4 + 2)
Step 2: Multiply the given numbers: 3 x (4 + 2)
Step 3: Apply suitable properties: We can use the distributive property to simplify the calculation.
3 x (4 + 2) is the same as 3 x 4 + 3 x 2
Step 4: Simplify the calculation: 3 x 4 + 3 x 2 = 12 + 6 = 18
Step 5: Verify the answer: By multiplying 3 and (4 + 2) directly, we get 3 x 6 = 18, which matches our calculated answer.

By following these steps

-5,7 -1,3 distance