which choice shows the product of 22 and 49

Breiz Heurope

2 min read

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10-03-2025

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Finding the product of two numbers, like 22 and 49, might seem straightforward, but understanding the process is key to mastering multiplication. This article will guide you through different methods to calculate the product of 22 and 49, ensuring you grasp the concept fully. We'll explore standard multiplication, breaking down the process, and also look at alternative strategies for solving similar problems.

Understanding the Problem: Product of 22 and 49

The phrase "product of 22 and 49" simply means the result you get when you multiply 22 by 49. The word "product" always refers to the answer in a multiplication problem.

Method 1: Standard Multiplication

This is the most common method taught in schools. Let's break it down step-by-step:

1. Set up the problem: Write the numbers vertically, one above the other, aligning the units digits.

   49
   

x 22

2. **Multiply by the units digit:** Multiply 49 by the units digit of 22 (which is 2).

49 x 22

98 (49 x 2 = 98)

3. **Multiply by the tens digit:** Now multiply 49 by the tens digit of 22 (which is 2). Because this 2 represents 20, add a zero as a placeholder before beginning this multiplication.

49 x 22

98 980 (49 x 20 = 980)

4. **Add the partial products:**  Add the two results from steps 2 and 3 together.

49 x 22

98 980

1078

Therefore, the product of 22 and 49 is $\boxed{1078}$.

## Method 2: Distributive Property

The distributive property of multiplication states that a(b + c) = ab + ac.  We can use this to break down the problem:

1. **Break down 22:** We can rewrite 22 as 20 + 2.

2. **Apply the distributive property:**  This lets us rewrite the problem as: (20 + 2) x 49 = (20 x 49) + (2 x 49)

3. **Calculate:**
* 20 x 49 = 980
* 2 x 49 = 98

4. **Add the results:** 980 + 98 = 1078

Again, the product of 22 and 49 is $\boxed{1078}$.


## Method 3: Using a Calculator

For larger numbers, or if speed is essential, a calculator is a handy tool.  Simply enter 22 x 49 and press the equals button.  The answer will be 1078.


## Practice Problems

To solidify your understanding, try calculating the product of these number pairs using any of the methods above:

* 15 x 32
* 25 x 18
* 33 x 44

Remember, understanding the underlying principles is more important than simply getting the right answer.  Practice regularly, and you'll become proficient in multiplication!
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