QuestionAugust 24, 2025

For Exercises 19-20 , identify which expression has the greater value. 17. 3+4cdot 2 (3+4)cdot 2 18. 12div 6cdot 2 12div (6cdot 2)

For Exercises 19-20 , identify which expression has the greater value. 17. 3+4cdot 2 (3+4)cdot 2 18. 12div 6cdot 2 12div (6cdot 2)
For Exercises 19-20 , identify which expression has the greater value. 17. 3+4cdot 2 (3+4)cdot 2 18. 12div 6cdot 2 12div (6cdot 2)

Solution
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Answer

Exercise 17: (3+4)\cdot 2 has the greater value. ### Exercise 18: 12\div 6\cdot 2 has the greater value. Explanation 1. Calculate the value of 3+4\cdot 2 Apply order of operations (PEMDAS/BODMAS): First, multiply 4 \cdot 2 = 8, then add 3 + 8 = 11. 2. Calculate the value of (3+4)\cdot 2 Add inside parentheses first: 3 + 4 = 7, then multiply 7 \cdot 2 = 14. 3. Compare values for Exercise 17 11 vs 14. The greater value is 14. 4. Calculate the value of 12\div 6\cdot 2 Apply order of operations: First, divide 12 \div 6 = 2, then multiply 2 \cdot 2 = 4. 5. Calculate the value of 12\div (6\cdot 2) Multiply inside parentheses first: 6 \cdot 2 = 12, then divide 12 \div 12 = 1. 6. Compare values for Exercise 18 4 vs 1. The greater value is 4.

Explanation

1. Calculate the value of $3+4\cdot 2$<br /> Apply order of operations (PEMDAS/BODMAS): First, multiply $4 \cdot 2 = 8$, then add $3 + 8 = 11$.<br /><br />2. Calculate the value of $(3+4)\cdot 2$<br /> Add inside parentheses first: $3 + 4 = 7$, then multiply $7 \cdot 2 = 14$.<br /><br />3. Compare values for Exercise 17<br /> $11$ vs $14$. The greater value is $14$.<br /><br />4. Calculate the value of $12\div 6\cdot 2$<br /> Apply order of operations: First, divide $12 \div 6 = 2$, then multiply $2 \cdot 2 = 4$.<br /><br />5. Calculate the value of $12\div (6\cdot 2)$<br /> Multiply inside parentheses first: $6 \cdot 2 = 12$, then divide $12 \div 12 = 1$.<br /><br />6. Compare values for Exercise 18<br /> $4$ vs $1$. The greater value is $4$.
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