24 X 83 how do u solve

24 X 83 how do u solve

The Correct Answer and Explanation is:

To solve the multiplication problem 24 × 83, we can break it down into simpler steps using the distributive property of multiplication, which states that:

[
(a + b) \times c = a \times c + b \times c
]

Let’s break it into more manageable parts:

Step 1: Split 83 into 80 + 3

First, rewrite 83 as the sum of 80 and 3. This allows us to apply the distributive property.

[
24 \times 83 = 24 \times (80 + 3)
]

Step 2: Apply the distributive property

Now, distribute 24 across the sum of 80 and 3:

[
24 \times 83 = (24 \times 80) + (24 \times 3)
]

Step 3: Perform the multiplications

Now, we calculate each term separately:

• 24 × 80: We multiply 24 by 80. This is the same as multiplying 24 by 8 and then adding a zero at the end.
  [
  24 \times 8 = 192, \quad \text{so} \quad 24 \times 80 = 1920
  ]
• 24 × 3: We multiply 24 by 3.
  [
  24 \times 3 = 72
  ]

Step 4: Add the results

Now, add the two results together:

[
1920 + 72 = 1992
]

Final Answer

Therefore, 24 × 83 = 1992.

Explanation of the Process

This method involves breaking down the multiplication into smaller, easier steps. By using the distributive property, we split the number 83 into parts that are easier to multiply, such as 80 and 3. This makes the multiplication simpler by performing fewer complex calculations. After solving each part, we add the results together to get the final product.

Multiplication, especially of larger numbers, can often be made easier by splitting the numbers in this way. It helps avoid errors and ensures that every part of the problem is tackled methodically. This approach works because multiplication is distributive over addition, meaning you can multiply each part of a sum separately and then combine the results for the final answer.