Question

Find (2.48×105)÷(9.7×106) by using a calculator. Give your answer in scientific notation and round to two decimal places.

Answer 1

To divide (2.48×105) by (9.7×106) in scientific notation, divide the coefficients and subtract the exponents of 10. The result is 2.6×10-2, when rounded to two decimal places.

Step-by-step explanation:

To find (2.48×105)/(9.7×106) using a calculator and express the answer in scientific notation rounded to two decimal places, we can follow these steps:

1. Divide the coefficients: 2.48 ÷ 9.7 = 0.25567.
2. Subtract the exponents of 10: (105) ÷ (106) = 10(-1) because 5 - 6 = -1.
3. Combine both results to get the preliminary result in scientific notation: 0.25567×10-1.
4. Since we want to round it to two decimal places, it will be 0.26×10-1.
5. Finally, adjust the coefficient so that it is within the standard form for scientific notation (between 1 and 10), which gives: 2.6×10-2.

Thus, the result is 2.6×10-2 when (2.48×105) divided by (9.7×106) is expressed in scientific notation and rounded to two decimal places.