ned help One fluid ounce is equivalent to 0.0078125 US liquid gallon. How do you write 0.0078125 in scientific notation?(1 point)
0.0078125 can be written in scientific notation as 7.8125 x 10^(-3).
To write 0.0078125 in scientific notation, follow these steps:
Step 1: Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. In this case, we move the decimal point 4 places to the right, resulting in 78125.
Step 2: Write the result from step 1 as a number between 1 and 10, and multiply it by 10 raised to the power of the number of places the decimal point moved. In this case, the decimal point moved 4 places to the right, so we multiply 78125 by 10^(-4).
Therefore, 0.0078125 in scientific notation is 7.8125 x 10^(-4).
To write a number in scientific notation, follow these steps:
Step 1: Determine the decimal exponent
- Count the number of times you need to move the decimal point to the right or left until you have a value between 1 and 10.
- In this case, you need to move the decimal point 4 places to the left to obtain a value between 1 and 10.
Step 2: Write the number in scientific notation
- Start by writing the non-zero digit at the first position, followed by the decimal point.
- For 0.0078125, the non-zero digit is 7.
- Then, write the remaining digits after the decimal point.
- So far, we have 7.8125.
- Finally, write the power of 10 using the decimal exponent from step 1.
- Since we moved the decimal point 4 places to the left, the decimal exponent is -4.
- Combining all of this, we get: 7.8125 x 10^(-4).
Therefore, the scientific notation for 0.0078125 is 7.8125 x 10^(-4).