Adam has carried out the following calculations. Look carefully at his calculations and describe the errors he has made with the order of operations.1.20-4 × 2 + 16 = 482.6 × (24 ÷ 3) -4 = 10
Adam has carried out the following calculations. Look carefully at his calculations and describe the errors he has made with the order of operations
20-4 × 2 + 16 = 48
6 × (24 ÷ 3) -4 = 10
ever hear of PEMDAS?
do multiplications before additions
1. In the first calculation, the error in the order of operations is that Adam did not perform multiplication before subtraction. According to the order of operations (PEMDAS/BODMAS), multiplication and division should be done before addition and subtraction. However, Adam subtracted 4 multiplied by 2 (which equals 8) from 20 first and then added 16 to that result.
To correctly solve this expression, the multiplication should be done first as follows:
1. 4 × 2 = 8
2. 20 - 8 = 12
3. 12 + 16 = 28
Therefore, the correct answer should be 28, not 48.
2. In the second calculation, the error in the order of operations is that Adam did not perform division before multiplication. Again, multiplication and division should be done before addition and subtraction. In this case, Adam multiplied 6 by 24 first and then divided the result by 3.
To solve the expression correctly, the division should be done first as follows:
1. 24 ÷ 3 = 8
2. 6 × 8 = 48
3. 48 - 4 = 44
Therefore, the correct answer should be 44, not 10.