Mastering Scientific Notation

Answer explanation

To add (3.2 x 10^4) and (1.5 x 10^4), keep the common exponent and add the coefficients: 3.2 + 1.5 = 4.7. Thus, the result is 4.7 x 10^4, which matches the correct answer.

Answer explanation

To solve (6.0 x 10^5) - (2.0 x 10^5), subtract the coefficients: 6.0 - 2.0 = 4.0. The power of ten remains the same, so the result is 4.0 x 10^5, which matches the correct answer.

Answer explanation

To compare 4.5 x 10^3 and 3.2 x 10^4, convert 4.5 x 10^3 to 0.45 x 10^4. Now, 0.45 x 10^4 is less than 3.2 x 10^4. Therefore, 3.2 x 10^4 is larger.

Answer explanation

To add (7.1 x 10^2) and (2.9 x 10^3), convert (7.1 x 10^2) to (0.71 x 10^3). Now, (0.71 x 10^3) + (2.9 x 10^3) = (3.61 x 10^3). Thus, the correct answer is 3.61 x 10^3.

Answer explanation

To subtract (5.5 x 10^6) - (1.2 x 10^6), align the coefficients: 5.5 - 1.2 = 4.3. Thus, the result is 4.3 x 10^6, which matches the correct answer choice.

Answer explanation

To compare, convert both to standard form: 9.0 x 10^1 = 90 and 8.5 x 10^2 = 850. Since 850 is greater than 90, 8.5 x 10^2 is the correct answer.

Answer explanation

To find the sum, convert both numbers to the same power of ten. (1.0 x 10^3) is already in 10^3. Convert (4.0 x 10^2) to (0.4 x 10^3). Now, (1.0 + 0.4) x 10^3 = 1.4 x 10^3. Thus, the correct answer is 1.4 x 10^3.

Answer explanation

To subtract (3.0 x 10^6) from (8.0 x 10^7), convert (3.0 x 10^6) to (0.3 x 10^7). Thus, (8.0 x 10^7) - (0.3 x 10^7) = (7.7 x 10^7). Therefore, the correct answer is 7.7 x 10^7.