Write in Scientific Notation Practice
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Question
One fluid ounce is equivalent to 0.0078125 US liquid gallon. How do you write 0.0078125 in scientific notation?(1 point)
To write a number in scientific notation, you need to express it as the product of a decimal number between 1 and 10 and a power of 10. Here's how you can write 0.0078125 in scientific notation:
1. Start by moving the decimal point to the right until there is only one digit to the left of the decimal point. In this case, you would need to move the decimal point four places to the right: 0.0078125 becomes 7.8125.
2. The number you obtained in step 1 (7.8125) is multiplied by 10 raised to a power that represents the number of places you moved the decimal point. Since you moved the decimal point four places to the right, you need to represent this as 10^(-4) in scientific notation.
3. Combine the two parts: 7.8125 x 10^(-4).
Therefore, 0.0078125 in scientific notation is 7.8125 x 10^(-4).
0.0078125 in scientific notation is 7.8125 x 10^-3.
To write 0.0078125 in scientific notation, follow these steps:
Step 1: Determine the first non-zero digit in the number, which is 7.
Step 2: Count the number of decimal places you have to move the decimal point to the right to make the number between 1 and 10. In this case, you need to move the decimal point 4 places to the right.
Step 3: Write the number in the form of a x 10^b, where a is the first non-zero digit after the decimal point and b is the number of places you moved the decimal point. In this case, the number is 7.8125 (after moving the decimal point) and you moved it 4 places to the right, so the scientific notation is:
0.0078125 = 7.8125 x 10^(-4)