Question

What is the product of 7.1 * 10^3 and 5.8 * 10^2 expressed in scientific notation?

Answer 1

Answer:

411.8 · $10^{4}$

Step-by-step explanation:

7.1 · 10³ × 5.8 · 10²

7.1 × 5.8 = 41.18

10³ + 10² = $10^{5}$

41.18 · $10^{5}$

Scientific notation can only have one digit after the decimal.

411.8 · $10^{4}$

Answer 2

Answer:

4.118 * 10^6

Step-by-step explanation:

When you multiply exponents, you just add the exponents together, so 10^2 * 10^3 is 10^5. Then you just multiply the 7.1 and the 5.8, which is 41.18. However, scientific notation should have only 1 digit above the decimal spot, so you make the number smaller from 41.18 to 4.118, so you add 1 exponent to the 10^5.

41.18*10^5 = 4,118*10^6

(EDIT, THE GUY WHO COMMENTED IS CORRECT, SCIENTIFIC NOTATION IS WHEN THE DIGIT IS GREATER THAN 1 OR LESS THAN 10, SO IT WOULD BE 4.118*10^6)