0.000456 in scientific notation

4.56 x 10^(-4)

7.8125 x 10^(-3)

One fluid ounce is equivalent to 0.0078125 US liquid gallon. How do you write 0.0078125 in scientific notation?

To express 0.000456 in scientific notation, follow these steps:

Step 1: Determine the non-zero digit.
Start by identifying the first non-zero digit in the number, which is 4 in this case.

Step 2: Count the number of decimal places.
Next, count the number of decimal places from the original number to the non-zero digit found in step 1. Since 0.000456 has 4 decimal places, the non-zero digit is located at the 4th decimal place.

Step 3: Rewrite the number as a decimal fraction.
To express the number in scientific notation, the non-zero digit and the following digits are written as a decimal fraction. In this case, it will be 0.000456.

Step 4: Write the power of 10.
Finally, write the power of 10 by indicating the number of decimal places counted in step 2 and the appropriate positive or negative sign. Since there are 4 decimal places, the power of 10 is -4.

Putting it all together, the scientific notation for 0.000456 is 4.56 x 10^(-4).

To express 0.000456 in scientific notation, follow these steps:

1. Identify the non-zero digit in the given number. In this case, the non-zero digit is 4.

2. Count the number of decimal places between the non-zero digit and the end of the number. In this case, there are three decimal places.

3. Write the non-zero digit followed by the decimal point and the remaining digits. In this case, it would be 4.56.

4. Finally, multiply the result from step 3 by 10 raised to the power equal to the number of decimal places counted in step 2. In this case, 10 raised to the power of 3 is 1000. So, the scientific notation for 0.000456 is 4.56 x 10^-3.