1987×97 with solution kung  paano nakuha yung  sagot

To solve \( 1987 \times 97 \), we can use the standard multiplication method or break the problem into simpler steps. Let's go through both methods.

### Method 1: Standard Multiplication

Multiply the two numbers directly:

\[
1987 \times 97 = 192,139
\]

Here’s the detailed breakdown:

1. **Multiply 1987 by 7**:
   \[
   1987 \times 7 = 13,909
   \]

2. **Multiply 1987 by 90** (which is 97 minus 7):
   \[
   1987 \times 90 = 178,830
   \]

3. **Add the two results together**:
   \[
   13,909 + 178,830 = 192,739
   \]

So, \( 1987 \times 97 = 192,739 \).

### Method 2: Distributive Property

You can break down 97 as \( 100 - 3 \) to simplify the multiplication:

\[
1987 \times 97 = 1987 \times (100 - 3) 
\]

Distribute the multiplication:

\[
1987 \times 100 - 1987 \times 3 = 198700 - 5961 = 192,739
\]

Thus, the final answer is \( 192,739 \).

### Explanation:

- **Step 1**: \( 1987 \times 100 \) is easy to calculate: \( 198700 \).
- **Step 2**: \( 1987 \times 3 = 5961 \).
- **Step 3**: Subtract 5961 from 198700 to get the final answer: \( 192,739 \).

Do you want more details or have any questions? 

Here are some related questions:

1. How do you multiply larger numbers by breaking them into smaller parts?
2. What is the distributive property and how is it useful in multiplication?
3. How would you multiply numbers using the grid method?
4. Can you use a calculator to verify large multiplications?
5. What other shortcuts are there for multiplication?

**Tip:** When multiplying large numbers, breaking them down using the distributive property can simplify the process and help avoid mistakes.

Learn how to solve 1987 multiplied by 97 using detailed step-by-step methods, including standard multiplication and the distributive property. Explore effective multiplication techniques and improve your math skills. Suitable for Grades 5-8.

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