Let’s convert the number 25.4 into scientific notation step by step.
Scientific Notation Format: Scientific notation represents numbers in the format a×10n where ∣a∣ < 10 and n is an integer.
Determine the “a” value: For the number 25.4, the digit “2” is the first non-zero digit. We want to place a decimal point after this digit to make the number between 1 and 10. This gives us a = 2.54.
Determine the exponent “n”: Count how many places you move the decimal point to get from 25.4 to 2.54. In this case, we move the decimal point 1 place to the left, which means n = 1.
Write the number in scientific notation: Using the values from steps 1 and 2, the scientific notation for 25.4 is: 2.54 × 101
Thus, 25.4 in scientific notation is 2.54×101.