Solve the following expression. 18 + 12.4 x 1/10
A) 19.24 is the correct solution to the given expression.
The expression follows the order of operations, also known as BIDMAS or PEMDAS, which dictates that multiplication and division should be performed before addition and subtraction. Firstly, 12.4 is multiplied by 1/10, giving 1.24. This is then added to 18 to yield 19.24.
This would be the result if the operations were performed from left to right without respecting the order of operations. The expression 18 + 12.4 gives 30.4 and then dividing by 10 would yield 0.304. However, according to the BIDMAS/PEMDAS order, multiplication and division should be performed before addition.
This answer would result from a miscalculation in the multiplication step. If 12.4 was incorrectly multiplied by 1/10 as 0.124 instead of 1.24, then adding this to 18 would yield 1.124. However, the correct multiplication of 12.4 by 1/10 is 1.24.
This would be the result if we first added 18 and 12.4 to get 30.4 and then multiplied that result by 10. However, according to the order of operations (BIDMAS/PEMDAS), multiplication and division should be done before addition and subtraction. Therefore, this option is incorrect.
The correct solution to the expression 18 + 12.4 x 1/10 is 19.24 based on the order of operations. The multiplication operation should be performed first, yielding 1.24, and then added to 18 to reach the final answer. The other options are results of incorrect calculations or disregarding the order of operations.
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