Question

Compute the following expression and give the final answer with the correct number of significant digits. Show each intermediate step, and clearly show how you track the precision and the accuracy. 14.1-1.735/2.3 - 1.2000/7.81-1.3

Answer 1

To compute the given expression, follow the order of operations and track the precision and accuracy. The final answer is 11.9 with one significant digit.

Step-by-step explanation:

To compute the given expression, we need to follow the order of operations PEMDAS: parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Step 1: Calculate the division in the denominator of the expression: 1.735 ÷ 2.3 = 0.7543.

Step 2: Calculate the division in the numerator of the expression: 1.2000 ÷ 7.81 = 0.1536.

Step 3: Substitute the values obtained in Step 1 and Step 2 into the expression: 14.1 - 0.7543 - 0.1536 - 1.3 = 11.8921.

The final answer with the correct number of significant digits is 11.9 since the original numbers in the expression have one significant digit.

Learn more about Order of operations