Question

Jesse solved the equation shown: 14 - 103 = n. Which correctly states the solution and an explanation of how Jesse solved the equation?

A) Jesse moved the decimal 3 places to the left, giving him 0.014 as the solution.
B) Jesse moved the decimal 2 places to the left, giving him 0.14 as the solution.
C) Jesse moved the decimal 1 place to the right, giving him 140 as the solution.
D) Jesse moved the decimal 3 places to the right, giving him 140,000 as the solution.

Answer 1

The correct solution for the equation 14 - 10^3 = n is D) Jesse moved the decimal 3 places to the right, resulting in 140,000 as the solution. This is because the exponent 3 denotes moving the decimal three places to the right.

Step-by-step explanation:

When Jesse solved the equation 14 - 103 = n, to find the correct solution, one would move the decimal place of 14 three places to the right because of the exponent 3 in 103. Therefore, the correct answer is (D), Jesse moved the decimal 3 places to the right, giving him 140,000 as the solution.

In general, to solve such equations with powers of ten and exponents, you move the decimal point to the right if the exponent is positive and to the left if it's negative. The exponent indicates the number of places the decimal moves. For example, 14 multiplied by 102 would move the decimal two places to the right, resulting in 1,400. Similarly, multiplying 2.4 by 102 would result in moving the decimal two places to the right, changing 2.4 into 240.