0.2 of (1.7+1.1)+1.84-7.36/ 3.2=
The correct answer and explanation is:
Let’s break down the expression step by step:
The expression is:
0.2×(1.7+1.1)+1.84−7.363.20.2 \times (1.7 + 1.1) + 1.84 – \frac{7.36}{3.2}
Step 1: Simplify inside the parentheses.
First, solve the part inside the parentheses:
1.7+1.1=2.81.7 + 1.1 = 2.8
Now the expression becomes:
0.2×2.8+1.84−7.363.20.2 \times 2.8 + 1.84 – \frac{7.36}{3.2}
Step 2: Multiply 0.2 by 2.8.
Next, multiply 0.2 by 2.8:
0.2×2.8=0.560.2 \times 2.8 = 0.56
Now the expression becomes:
0.56+1.84−7.363.20.56 + 1.84 – \frac{7.36}{3.2}
Step 3: Divide 7.36 by 3.2.
Now, divide 7.36 by 3.2:
7.363.2=2.3\frac{7.36}{3.2} = 2.3
Now the expression becomes:
0.56+1.84−2.30.56 + 1.84 – 2.3
Step 4: Add and subtract.
Now perform the addition and subtraction:
0.56+1.84=2.40.56 + 1.84 = 2.4
Then:
2.4−2.3=0.12.4 – 2.3 = 0.1
Final Answer:
The final answer is 0.10.1.
Explanation:
This calculation follows basic order of operations, often referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, the parentheses were simplified, then multiplication and division were done, and finally, addition and subtraction were carried out in sequence from left to right. This ensures the calculation is done correctly.