The value of $25.3 imes5-35\div5-3 imes18.5$ is :

Q: The value of $25.3\times5-35\div5-3\times18.5$ is :

To solve the expression $25.3 \times 5 - 35 \div 5 - 3 \times 18.5$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Let's break it down step by step: 1. **Multiplication and Division**: - First, calculate $25.3 \times 5$: \[ 25.3 \times 5 = 126.5 \] - Next, calculate $35 \div 5$: \[ 35 \div 5 = 7 \] - Then, calculate $3 \times 18.5$: \[ 3 \times 18.5 = 55.5 \] 2. **Subtraction**: - Now substitute these values back into the expression: \[ 126.5 - 7 - 55.5 \] - Perform the subtraction from left to right: \[ 126.5 - 7 = 119.5 \] \[ 119.5 - 55.5 = 64 \] Thus, the value of the expression is 64, which corresponds to Option 2. **Explanation of why other options are incorrect:** - **Option 1: 283.05** - This result is incorrect because it does not follow the correct order of operations. The multiplication and division must be performed before subtraction, and the calculations do not yield this result. - **Option 3: 95** - This option is incorrect because, after performing the correct order of operations, the result does not match 95. The calculations clearly show that the correct result is 64. - **Option 4: 26.5** - This option is incorrect as well. The calculations, when performed correctly, do not lead to 26.5. The subtraction steps clearly show that the result is 64. Therefore, the correct answer is Option 2, which is 64.

Question

The value of $25.3	imes5-35\div5-3	imes18.5$ is :

Accepted Answer

To solve the expression $25.3 \times 5 - 35 \div 5 - 3 \times 18.5$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Let's break it down step by step:

1. **Multiplication and Division**: 
   - First, calculate $25.3 \times 5$:
     $$
     25.3 \times 5 = 126.5
     $$
   - Next, calculate $35 \div 5$:
     $$
     35 \div 5 = 7
     $$
   - Then, calculate $3 \times 18.5$:
     $$
     3 \times 18.5 = 55.5
     $$

2. **Subtraction**:
   - Now substitute these values back into the expression:
     $$
     126.5 - 7 - 55.5
     $$
   - Perform the subtraction from left to right:
     $$
     126.5 - 7 = 119.5
     $$
     $$
     119.5 - 55.5 = 64
     $$

Thus, the value of the expression is 64, which corresponds to Option 2.

**Explanation of why other options are incorrect:**

- **Option 1: 283.05** 
  - This result is incorrect because it does not follow the correct order of operations. The multiplication and division must be performed before subtraction, and the calculations do not yield this result.

- **Option 3: 95**
  - This option is incorrect because, after performing the correct order of operations, the result does not match 95. The calculations clearly show that the correct result is 64.

- **Option 4: 26.5**
  - This option is incorrect as well. The calculations, when performed correctly, do not lead to 26.5. The subtraction steps clearly show that the result is 64.

Therefore, the correct answer is Option 2, which is 64.