Convert the number below from standard notation to scientific notation.
0.0000012
1.2 x 10^-6
To convert the number 0.0000012 from standard notation to scientific notation, follow these steps:
Step 1: Move the decimal point to the right of the first non-zero digit. In this case, the first non-zero digit is 1.
0.0000012 becomes 1.2
Note: Since we moved the decimal point to the right, the exponent will be negative in the scientific notation.
Step 2: Count the number of positions the decimal point moved. In this case, the decimal point moved 6 positions to the right.
Step 3: Write the number in scientific notation by multiplying it by 10 raised to the power of the number of positions the decimal point moved.
0.0000012 = 1.2 x 10^(-6)
Thus, the number 0.0000012 in standard notation is equivalent to 1.2 x 10^(-6) in scientific notation.
To convert a number from standard notation to scientific notation, follow the steps below:
1. Identify the decimal point's original position in the standard notation. In this case, the decimal point is after the digit 2.
2. Count the number of places you need to move the decimal point to the right so that only one non-zero digit remains to the left of the decimal point. We need to move the decimal point six places to the right.
3. Rewrite the number in scientific notation using the format "a x 10^b", where "a" is a number between 1 and 10 (the non-zero digit after moving the decimal point), and "b" is the number of places you moved the decimal point. In this case, the non-zero digit after moving the decimal point is 2, and we moved the decimal point six places to the right. Therefore, the scientific notation for 0.0000012 is 2 x 10^-6.