How do you multiply by a power of 10 4th grade?

Multiplying by a power of 10 in 4th grade involves understanding place value and how it shifts when you multiply by 10, 100, 1000, etc.

Here's a breakdown, explained simply:

When you multiply a number by a power of 10, you're essentially adding zeros to the end of that number. The number of zeros you add is equal to the number of zeros in the power of 10.

Examples:

• Multiplying by 10 (one zero): 35 x 10 = 350 (one zero added)
• Multiplying by 100 (two zeros): 35 x 100 = 3500 (two zeros added)
• Multiplying by 1,000 (three zeros): 35 x 1,000 = 35,000 (three zeros added)
• Multiplying by 10,000 (four zeros): 35 x 10,000 = 350,000 (four zeros added)

Why does this work?

As Mrs. Gagné explains, multiplying by 10 is like saying 35 times 1 is 35. Times 10 is 350, times another 10 makes 3500, and so on. (Mrs. Gagné Teaches: Multiplying by Powers of 10: 4th Grade Place Value)

In Summary:

To multiply by a power of 10:

1. Write down the original number.
2. Count the number of zeros in the power of 10 (10, 100, 1000, etc.).
3. Add that many zeros to the end of the original number.