Problem

Evaluate. \[ \frac{-(4.23(2)}{(-0.2)^{2}}+1 \] What is the value of the expression? Enter your answer as a decimal in the box.

Solution

Step 1 :First, simplify the expression inside the parentheses in the numerator. Multiply 4.23 by 2, which equals 8.46. The negative sign in front of the parentheses makes this -8.46. So, the expression becomes: \[\frac{-(-8.46)}{(-0.2)^{2}}+1\]

Step 2 :Next, simplify the denominator. \((-0.2)^2\) equals 0.04. So, the expression becomes: \[\frac{-(-8.46)}{0.04}+1\]

Step 3 :Then, simplify the fraction. The negative sign in front of the numerator and the negative sign inside the parentheses cancel each other out, so we have 8.46 divided by 0.04, which equals 211.5. So, the expression becomes: \[211.5+1\]

Step 4 :Finally, add 1 to 211.5, which equals 212.5. So, the value of the expression is \[\boxed{212.5}\]

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Source: https://solvelyapp.com/problems/ptUa7TzZfD/

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