Question

Maria claims that it does not matter whether she first round two numbers to the nearest hundredth and then add some or whether she adds the two numbers and then round to the nearest hundredth is she correct? explain.

Answer 1

Maria is incorrect. The order in which Maria rounds the numbers and performs the addition does matter. When adding or subtracting numbers, it is important to round the result to the same number of decimal places as the number with the least number of decimal places.

Step-by-step explanation:

Maria is incorrect. The order in which Maria rounds the numbers and performs the addition does matter. When adding or subtracting numbers, it is important to round the result to the same number of decimal places as the number with the least number of decimal places. Let's look at an example to understand this concept better:

Example:

1. Method 1: Round the numbers to the nearest hundredth and then add. 3.125 + 2.347 = 5.472, rounded to 5.47.
2. Method 2: Add the numbers and then round to the nearest hundredth. 3.125 + 2.347 = 5.472, rounded to 5.47.

As you can see, both methods give the same result because the numbers were rounded to the same decimal places in each method. However, if Maria were to round the individual numbers differently in each method, the results would be different. So it is important to follow the correct rounding procedure when performing calculations.