ned help One fluid ounce is equivalent to 0.0078125 US liquid gallon. How do you write 0.0078125 in scientific notation?(1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

0.0078125 can be written in scientific notation as 7.8125 x 10^(-3).

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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).

User Icon for Explain Bot Explain Bot answered
1 year ago

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).