Question

Perform the indicated operation. Round the result to the nearest tenthand then to the nearest hundredth. Separate your answers by a comma.14.357 (-2.625)

Answer 1

Given the operation:

`14.357-(2.625)`

You need to follow these steps in order to solve the exercise:

1. Multiply signs by applying the Sign Rules for Multiplication:

`\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=-_{} \end{gathered}`

Then:

`=14.357-2.625`

2. Subtract the numbers:

`=11.732`

3. Round it to the nearest tenth:

- Notice that the digit to the right of the digit in Tenth Place is:

`3`

- Since:

`3<5`

You must round down. The digit in the Tenth Place (7) stays the same:

`\approx11.7`

4. Round the result obtained in Step 2 to the nearest hundredth;

- Notice that the digit to the right of the digit in Hundredths Place is:

`2`

- Since:

`2<5`

The digit in the Hundredths Place (3) stays the same:

`\approx11.73`

Hence, the answers is (the results rounded are separated by a comma):

`\approx11.7,\text{ }11.73`