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)

Respuesta :

Given the operation:

[tex]14.357-(2.625)[/tex]

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

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

[tex]\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=-_{} \end{gathered}[/tex]

Then:

[tex]=14.357-2.625[/tex]

2. Subtract the numbers:

[tex]=11.732[/tex]

3. Round it to the nearest tenth:

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

[tex]3[/tex]

- Since:

[tex]3<5[/tex]

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

[tex]\approx11.7[/tex]

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:

[tex]2[/tex]

- Since:

[tex]2<5[/tex]

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

[tex]\approx11.73[/tex]

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

[tex]\approx11.7,\text{ }11.73[/tex]

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