Problem 2 · 2018 Math Kangaroo
Easy
Arithmetic & Operations
order-of-operationsgrouping
Which of the following expressions has the biggest value?
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Answer: D — \(2 \cdot (0 + 1 + 8)\)
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Hint 1 of 2
Multiplication binds tighter than addition, so evaluate each option carefully.
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Hint 2 of 2
Notice that bracketing in (D) multiplies a large sum.
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Approach: evaluate each expression respecting order of operations and compare
- (A) 2−0·1+8 = 10.
- (B) 2+0·1·8 = 2.
- (C) 2·0+1·8 = 8.
- (D) 2·(0+1+8) = 18.
- (E) 2·0+1+8 = 9.
- The largest is (D) = 18.
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