Convert the number below from standard notation to scientific notation.
0.0000078
7.8 x 10^-6
To convert 0.0000078 from standard notation to scientific notation, follow these steps:
Step 1: Identify the first non-zero digit in the number. In this case, it is 7.
Step 2: Count the number of decimal places from the original number to the first non-zero digit. In this case, there are 6 decimal places.
Step 3: Write the number with the decimal point after the first non-zero digit. For 0.0000078, it becomes 7.8.
Step 4: Multiply the result from step 3 by 10 raised to the power equal to the number of decimal places. Since there are 6 decimal places, we need to multiply by 10^6.
Therefore, 0.0000078 in scientific notation is 7.8 x 10^(-6).
To convert a number from standard notation to scientific notation, follow these steps:
1. Identify the non-zero digits in the number. In this case, the non-zero digits are 7 and 8.
2. Count the number of decimal places you need to move to the left to get a single non-zero digit on the left side of the decimal point. In this case, you need to move the decimal point 6 places to the left.
3. Write the non-zero digits as a decimal number between 1 and 10. In this case, the non-zero digits are 7 and 8, so the decimal number would be 7.8.
4. Multiply the decimal number by 10 raised to the power of the number of places you moved the decimal point. In this case, we moved the decimal point 6 places to the left, so the final step is to multiply 7.8 by 10^(-6) (or 1e-6).
Therefore, the number 0.0000078 in scientific notation is 7.8 x 10^(-6).