Convert the number below from standard notation to scientific notation.
0.0000072
7.2 x 10^-6
To convert the number 0.0000072 from standard notation to scientific notation, follow these steps:
Step 1: Identify the non-zero digits in the number. In this case, the non-zero digits are 7 and 2.
Step 2: Count the number of decimal places between the non-zero digits and the original decimal point. In this case, there are six decimal places (0.0000072).
Step 3: Rewrite the non-zero digits followed by the decimal point and any remaining decimal places. In this case, it would be 7.2.
Step 4: Write the multiplication sign (×) and the base number (10).
Step 5: Raise the base number (10) to the power equal to the number of decimal places counted in Step 2. In this case, since there are six decimal places, the power of 10 would be -6.
Step 6: Combine the results from Steps 3 and 5 to express the number in scientific notation. In this case, 0.0000072 in scientific notation is 7.2 × 10^-6.
To convert the number from standard notation to scientific notation, follow these steps:
1. Determine the non-zero digit in the number. In this case, the non-zero digit is 7.
2. Count the number of decimal places the decimal point would need to be moved to the right to turn the number into a whole number. In this case, it would require moving 6 decimal places to the right.
3. Write the non-zero digit followed by a decimal point and any remaining digits (if there are any). In this case, write 7.2.
4. Write "x 10^" followed by the number of decimal places moved. In this case, it would be 10^-6.
Combining all the steps, the number 0.0000072 in scientific notation is written as:
7.2 x 10^-6