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Perform the following calculations without a calculator. After solving, use your calculator to check your answer. a. \(45 \div 3+12\) b. \(54 \div 9-2 \cdot 3\) c. \(12+30 \div 2 \cdot 3-4\) d. \(26+2 \cdot 7-12 \div 4\)

Short Answer

Expert verified
a. \(45 \div 3+12\) b. \(54 \div 9-2 \cdot 3\) c. \(12+30 \div 2 \cdot 3-4\) d. \(26+2 \cdot 7-12 \div 4\) Answer: a. 27 b. 0 c. 53 d. 37

Step by step solution

01

a. \(45 \div 3+12\)

First, perform the division: \(45 \div 3 = 15\). Then, add the result to 12: \(15 + 12 = 27\). The answer is 27. Now, you can use a calculator to check that \(45 \div 3 + 12 = 27\).
02

b. \(54 \div 9-2 \cdot 3\)

First, perform the division and the multiplication: \(54 \div 9 = 6\) and \(2 \cdot 3 = 6\). Then, subtract the second result from the first: \(6 - 6 = 0\). The answer is 0. Now, you can use a calculator to check that \(54 \div 9 - 2 \cdot 3 = 0\).
03

c. \(12+30 \div 2 \cdot 3-4\)

First, perform the division: \(30 \div 2 = 15\). Then, multiply the result by 3: \(15 \cdot 3 = 45\). Now perform the addition and subtraction from left to right: \(12 + 45 - 4 = 57 - 4 = 53\). The answer is 53. Now, you can use a calculator to check that \(12+30 \div 2 \cdot 3-4 = 53\).
04

d. \(26+2 \cdot 7-12 \div 4\)

First, perform the multiplication and the division: \(2 \cdot 7 = 14\), and \(12 \div 4 = 3\). Then perform the addition and subtraction from left to right: \(26 + 14 - 3 = 40 - 3 = 37\). The answer is 37. Now, you can use a calculator to check that \(26+2 \cdot 7-12 \div 4 = 37\).

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