Question

12.3 + (6² − 11.8) − 1
= 12.3 + (□ − 11.8) − 1
= 12.3 + □ − 1
= □ − 1
= □

Explanation:

Step1: Calculate \(6^2\)

First, we need to calculate the exponentiation \(6^2\). By the definition of squaring a number, \(6^2 = 6\times6=36\). So the first blank is filled with 36, and the expression becomes \(12.3+(36 - 11.8)-1\).

Step2: Calculate \(36 - 11.8\)

Next, we calculate the subtraction inside the parentheses: \(36-11.8 = 24.2\). Now the expression is \(12.3 + 24.2-1\).

Step3: Calculate \(12.3+24.2\)

Then, we perform the addition: \(12.3+24.2=36.5\). The expression now is \(36.5 - 1\).

Step4: Calculate \(36.5-1\)

Finally, we do the subtraction: \(36.5 - 1=35.5\).

Answer:

The first blank is \(36\), the second blank is \(24.2\), the third blank is \(36.5\), and the final result is \(35.5\). So filling in the blanks:
\(12.3+(6^{2}-11.8)-1=12.3+(36 - 11.8)-1=12.3 + 24.2-1=36.5-1 = 35.5\)