Simplify and evaluate the expression for a = -0.5, b = 2.5
2.5a - 3b(-4.1 + a(-3.3b - b) - b) + a
To simplify and evaluate the expression, let's substitute the given values of a = -0.5 and b = 2.5 into the expression.
2.5(-0.5) - 3(2.5)(-4.1 + (-0.5)(-3.3)(2.5) - 2.5) + (-0.5)
Let's solve each part step-by-step:
1. 2.5(-0.5) = -1.25
2. (-0.5)(-3.3) = 1.65
3. (-0.5)(2.5) = -1.25
Now let's substitute these values back into the expression:
-1.25 - 3(2.5)(-4.1 + 1.65(2.5) - 2.5) - 0.5
Next, simplify each part:
1. 1.65(2.5) = 4.125
2. -4.1 + 4.125 - 2.5 = -2.475
3. -3(2.5)(-2.475) = -18.563
Now let's substitute the simplified values back into the expression:
-1.25 + (-18.563) - 0.5
Next, compute the sum:
-1.25 - 18.563 - 0.5 = -20.313
Therefore, when a = -0.5 and b = 2.5, the expression 2.5a - 3b(-4.1 + a(-3.3b - b) - b) + a simplifies to -20.313.
To simplify and evaluate the expression for a = -0.5 and b = 2.5, you need to substitute the given values for a and b into the expression and perform the necessary calculations.
Let's substitute the values first:
2.5(-0.5) - 3(2.5)(-4.1 + (-0.5)(-3.3(2.5) - 2.5)) + (-0.5)
Now, let's start simplifying step by step:
1. Solve the expression inside the innermost parentheses:
-3.3(2.5) - 2.5 = -8.25 - 2.5 = -10.75
2. Substitute the value we got into the expression:
2.5(-0.5) - 3(2.5)(-4.1 + (-0.5)(-10.75) - 2.5) + (-0.5)
3. Continue simplifying inside the parenthesis:
(-0.5)(-10.75) = 5.375
4. Substitute the value we got into the expression:
2.5(-0.5) - 3(2.5)(-4.1 + 5.375 - 2.5) + (-0.5)
5. Simplify inside the parenthesis:
-4.1 + 5.375 - 2.5 = -1.225
6. Substitute the value we got into the expression:
2.5(-0.5) - 3(2.5)(-1.225) + (-0.5)
Now, let's continue simplifying:
2.5(-0.5) = -1.25
3(2.5)(-1.225) = -9.225
Substitute these values into the expression:
-1.25 - 9.225 + (-0.5)
Next, add the numbers:
-1.25 - 9.225 = -10.475
Finally, add the result to (-0.5):
-10.475 + (-0.5) = -10.975
Therefore, the simplified and evaluated expression for a = -0.5 and b = 2.5 is -10.975.
well, just plug in your values:
2.5a - 3b(-4.1 + a(-3.3b - b) - b) + a
2.5(-0.5) - 3(2.5)(-4.1 + (-0.5)(-3.3(2.5) - (2.5)) - (2.5)) + (-0.5)
Work through step by step, and you should come up with 7.4375