For each expression below, indicate it's value. Be sure to list appropriate type (eg, 9.0 for a double, string in quotes) 1) 8*3.0 + 17/3 2) 11%3 +1/5 + 0.5*4 3) !(20<3)&&(7<9)||0.03>0.2 4) "1"+2+3+"4"+5*6+"7" 5) 7/2!=123/12%7 6) 4+4+"4+4"+4+4

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter5: Repetition Statements
Section: Chapter Questions
Problem 7PP
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### Evaluating Mathematical and Logical Expressions

For each expression below, indicate its value. Be sure to list the appropriate type (e.g., 9.0 for a double, string in quotes).

1. **Expression: 8 * 3.0 + 17 / 3**
    - **Explanation**: This involves basic arithmetic operations: multiplication and division. 
    - **Solution**: \( 8 \times 3.0 + \frac{17}{3} = 24.0 + 5.6667 = 29.6667 \)
    - **Type**: Double

2. **Expression: 11 % 3 + 1 / 5 + 0.5 * 4**
    - **Explanation**: This expression includes modulus, division, and multiplication.
    - **Solution**: \( 11 \% 3 + \frac{1}{5} + 0.5 \times 4 = 2 + 0.2 + 2.0 = 4.2 \)
    - **Type**: Double

3. **Expression: !(20 < 3) && (7 < 9) || 0.03 > 0.2**
    - **Explanation**: This expression combines logical NOT, AND, and OR operations.
    - **Solution**:
        - \( !(20 < 3) \) evaluates to \( !false \) which is \( true \)
        - \( (7 < 9) \) evaluates to \( true \)
        - \( (0.03 > 0.2) \) evaluates to \( false \)
        - Combining with AND: \( true && true = true \)
        - Combining with OR: \( true || false = true \)
    - **Type**: Boolean

4. **Expression: "1" + 2 + 3 + "4" + 5 * 6 + "7"**
    - **Explanation**: This involves string concatenation and arithmetic operations. Note that in many programming languages, strings concatenated with numbers turn those numbers into strings.
    - **Solution**: 
        - "1" + 2 → "12"
        - "12" + 3 → "123"
        - "123" + "4" → "1234"
        - "1234" + 5 * 6 → "1234"
Transcribed Image Text:### Evaluating Mathematical and Logical Expressions For each expression below, indicate its value. Be sure to list the appropriate type (e.g., 9.0 for a double, string in quotes). 1. **Expression: 8 * 3.0 + 17 / 3** - **Explanation**: This involves basic arithmetic operations: multiplication and division. - **Solution**: \( 8 \times 3.0 + \frac{17}{3} = 24.0 + 5.6667 = 29.6667 \) - **Type**: Double 2. **Expression: 11 % 3 + 1 / 5 + 0.5 * 4** - **Explanation**: This expression includes modulus, division, and multiplication. - **Solution**: \( 11 \% 3 + \frac{1}{5} + 0.5 \times 4 = 2 + 0.2 + 2.0 = 4.2 \) - **Type**: Double 3. **Expression: !(20 < 3) && (7 < 9) || 0.03 > 0.2** - **Explanation**: This expression combines logical NOT, AND, and OR operations. - **Solution**: - \( !(20 < 3) \) evaluates to \( !false \) which is \( true \) - \( (7 < 9) \) evaluates to \( true \) - \( (0.03 > 0.2) \) evaluates to \( false \) - Combining with AND: \( true && true = true \) - Combining with OR: \( true || false = true \) - **Type**: Boolean 4. **Expression: "1" + 2 + 3 + "4" + 5 * 6 + "7"** - **Explanation**: This involves string concatenation and arithmetic operations. Note that in many programming languages, strings concatenated with numbers turn those numbers into strings. - **Solution**: - "1" + 2 → "12" - "12" + 3 → "123" - "123" + "4" → "1234" - "1234" + 5 * 6 → "1234"
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