Convert to scientific notation: 0.000678
For each place you move to the right, decrease power of 10 by , for each place you move decimal point to the left increase power of 10 by 1.
.000678 = 6.78 * 10^-4
To convert 0.000678 to scientific notation, follow these steps:
Step 1: Count the number of decimal places needed to move the decimal point to the right after the first non-zero digit. In this case, the decimal point needs to be moved 3 places to the right.
Step 2: Rewrite the number as a decimal between 1 and 10 by moving the decimal point to the right. In this case, the decimal point needs to be moved 3 places to the right, resulting in 6.78.
Step 3: Express the number in the form of a product of the decimal number obtained in the previous step and ten raised to the power equal to the number of places the decimal point was moved to the right. In this case, the decimal number is 6.78 and the decimal point was moved 3 places to the right, so the scientific notation for 0.000678 is 6.78 x 10^-4.
To convert a number to scientific notation, you need to move the decimal point to the right or left so that there is only one non-zero digit to the left of the decimal point. The number of places you move the decimal point determines the power of 10 in the scientific notation. In this case, we have the number 0.000678.
To convert this number to scientific notation:
1. Start by moving the decimal point to the right until there is only one non-zero digit to the left of it. In this case, we will move the decimal point 3 places to the right, resulting in the number 6.78.
2. Determine the power of 10 by counting the number of places you moved the decimal point. Since we moved it 3 places to the right, the power of 10 is -3.
3. Finally, express the number 6.78 as a coefficient multiplied by 10 raised to the power of -3. This can be written as 6.78 x 10^-3.
So, the scientific notation for the number 0.000678 is 6.78 x 10^-3.