Chapter 1: Problem 1

Evaluate(a) \(12-(3 \div 3)\) (b) \((12-3) \div 3\) (c) \(12-3 \div 3\) (d) \(2 \times(6 \div 3)\) (e) \((2 \times 6) \div 3\) (f) \(2 \times 6 \div 3\)

Short Answer

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Question: Evaluate the following expressions, applying the order of operations: a) \(12 - (3 \div 3)\) b) \((12 - 3) \div 3\) c) \(12 - 3 \div 3\) d) \(2 \times (6 \div 3)\) e) \((2 \times 6) \div 3\) f) \(2 \times 6 \div 3\) Answer: a) 11 b) 3 c) 11 d) 4 e) 4 f) 4

Step by step solution

a) Evaluate \(12 - (3 \div 3)\)

Firstly use the parentheses to calculate the expression inside them. In this case, \(3 \div 3 = 1\). Now, substitute the resulting value back into the main expression: \(12 - 1\). Finally, perform the subtraction: \(12 - 1 = 11\). The result is 11.

b) Evaluate \((12 - 3) \div 3\)

Firstly use the parentheses to calculate the expression inside them. In this case, \(12 - 3 = 9\). Now, substitute the resulting value back into the main expression: \(9 \div 3\). Lastly, perform the division: \(9 \div 3 = 3\). The result is 3.

c) Evaluate \(12 - 3 \div 3\)

Following the order of operations, perform the division first. So, \(3 \div 3 = 1\). Now, substitute the resulting value back into the main expression: \(12 - 1\). Lastly, perform the subtraction: \(12 - 1 = 11\). The result is 11.

d) Evaluate \(2 \times (6 \div 3)\)

Firstly use the parentheses to calculate the expression inside them. In this case, \(6 \div 3 = 2\). Now, substitute the resulting value back into the main expression: \(2 \times 2\). Lastly, perform the multiplication: \(2 \times 2 = 4\). The result is 4.

e) Evaluate \((2 \times 6) \div 3\)

Firstly use the parentheses to calculate the expression inside them. In this case, \(2 \times 6 = 12\). Now, substitute the resulting value back into the main expression: \(12 \div 3\). Lastly, perform the division: \(12 \div 3 = 4\). The result is 4.

f) Evaluate \(2 \times 6 \div 3\)

Follow the order of operations. Firstly perform the multiplication: \(2 \times 6 = 12\). Now, substitute the resulting value back into the main expression: \(12 \div 3\). Lastly, perform the division: \(12 \div 3 = 4\). The result is 4.

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Evaluate(a) \(12-(3 \div 3)\) (b) \((12-3) \div 3\) (c) \(12-3 \div 3\) (d) \(2 \times(6 \div 3)\) (e) \((2 \times 6) \div 3\) (f) \(2 \times 6 \div 3\)

Short Answer

Step by step solution

a) Evaluate \(12 - (3 \div 3)\)

b) Evaluate \((12 - 3) \div 3\)

c) Evaluate \(12 - 3 \div 3\)

d) Evaluate \(2 \times (6 \div 3)\)

e) Evaluate \((2 \times 6) \div 3\)

f) Evaluate \(2 \times 6 \div 3\)

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