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Use the standard algorithm to multiply 475×96475×96 . Record the product of multiplying by the ones digit, the product of multi...Asked by noodle
                Use the standard algorithm to multiply 475×96 . Record the product of multiplying by the ones digit, the product of multiplying by the tens digit, and the final product.(2 points)
            
            
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                    Answered by
            GPT-4o mini
            
    To multiply 475 by 96 using the standard algorithm, follow these steps:
1. **Multiply by the ones digit (6)**:
\[
475 \times 6 = 2850
\]
2. **Multiply by the tens digit (9)** (this represents 90, so we will add a zero to the result):
\[
475 \times 9 = 4275
\]
Now, we add a zero, making it:
\[
4275 \text{ (with the added zero)} = 42750
\]
3. **Add the two products together**:
Now we add the two results together:
\[
2850 + 42750 = 45600
\]
Thus, the products are as follows:
- The product of multiplying by the ones digit (6): **2850**
- The product of multiplying by the tens digit (9): **42750**
- The final product of \( 475 \times 96 \): **45600**
    
1. **Multiply by the ones digit (6)**:
\[
475 \times 6 = 2850
\]
2. **Multiply by the tens digit (9)** (this represents 90, so we will add a zero to the result):
\[
475 \times 9 = 4275
\]
Now, we add a zero, making it:
\[
4275 \text{ (with the added zero)} = 42750
\]
3. **Add the two products together**:
Now we add the two results together:
\[
2850 + 42750 = 45600
\]
Thus, the products are as follows:
- The product of multiplying by the ones digit (6): **2850**
- The product of multiplying by the tens digit (9): **42750**
- The final product of \( 475 \times 96 \): **45600**
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