Sure, let's go through the steps to convert a number from standard notation to scientific notation.

1. **Identify the original number**: Let's say the number is 45,000.

2. **Place the decimal point**: Move the decimal point in the original number to the position just after the first non-zero digit. For 45,000, you would move the decimal point 4 places to the left, making it 4.5.

3. **Count the number of places the decimal point was moved**: In this case, the decimal point was moved 4 places to the left.

4. **Express the number as a product of the new number and 10 raised to the power of the number of places moved**: Since we moved the decimal point 4 places to the left, we multiply by 10 raised to the power of 4. Therefore, 45,000 becomes $4.5 \times 10^4$.

5. **Combine the steps**: The final scientific notation for 45,000 is $4.5 \times 10^4$.

Let's do another example with a smaller number, 0.0072.

1. **Identify the original number**: 0.0072.

2. **Place the decimal point**: Move the decimal point to the position just after the first non-zero digit. For 0.0072, you would move the decimal point 3 places to the right, making it 7.2.

3. **Count the number of places the decimal point was moved**: In this case, the decimal point was moved 3 places to the right.

4. **Express the number as a product of the new number and 10 raised to the power of the number of places moved**: Since we moved the decimal point 3 places to the right, we multiply by 10 raised to the power of -3. Therefore, 0.0072 becomes $7.2 \times 10^{-3}$.

5. **Combine the steps**: The final scientific notation for 0.0072 is $7.2 \times 10^{-3}$.

That's how you convert from standard notation to scientific notation!

Question

Sure, let's go through the steps to convert a number from standard notation to scientific notation.

1. **Identify the original number**: Let's say the number is 45,000.

2. **Place the decimal point**: Move the decimal point in the original number to the position just after the first non-zero digit. For 45,000, you would move the decimal point 4 places to the left, making it 4.5.

3. **Count the number of places the decimal point was moved**: In this case, the decimal point was moved 4 places to the left.

4. **Express the number as a product of the new number and 10 raised to the power of the number of places moved**: Since we moved the decimal point 4 places to the left, we multiply by 10 raised to the power of 4. Therefore, 45,000 becomes $4.5 \times 10^4$.

5. **Combine the steps**: The final scientific notation for 45,000 is $4.5 \times 10^4$.

Let's do another example with a smaller number, 0.0072.

1. **Identify the original number**: 0.0072.

2. **Place the decimal point**: Move the decimal point to the position just after the first non-zero digit. For 0.0072, you would move the decimal point 3 places to the right, making it 7.2.

3. **Count the number of places the decimal point was moved**: In this case, the decimal point was moved 3 places to the right.

4. **Express the number as a product of the new number and 10 raised to the power of the number of places moved**: Since we moved the decimal point 3 places to the right, we multiply by 10 raised to the power of -3. Therefore, 0.0072 becomes $7.2 \times 10^{-3}$.

5. **Combine the steps**: The final scientific notation for 0.0072 is $7.2 \times 10^{-3}$.

That's how you convert from standard notation to scientific notation!

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