At the island's highest point, Emek and Luna found three signal towers. Their guide said the rescue tower had a value of 30. Tower A showed 6 + 4 * 6, Tower B showed (6 + 4) * 3, and Tower C showed 54 - 3 * (5 + 3). Emek simplified carefully and found values of 30, 30, and 30. Luna noticed that all three matched, so they checked the guide again. It said to choose the tower whose expression used parentheses before multiplication. Tower B fit the clue, so they activated it and sent a bright rescue signal across the sea.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
There are no parentheses in Tower A's expression. Think about whether addition or multiplication comes first.
A hiker says Tower A's expression, 6 + 4 * 6, should be solved by adding 6 + 4 first. What is the hiker's mistake?
The hiker should subtract before adding.The hiker should multiply 4 * 6 before adding 6.The hiker should add 4 + 6 before multiplying.The hiker should multiply 6 * 4 * 6.Correct! Multiplication comes before addition, so 4 * 6 must be calculated first.
Try again. Use the order of operations to decide which operation comes first.
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Hint
Work inside the parentheses first, then multiply, then subtract.
Tower C shows 54 - 3 * (5 + 3). What value does the expression have when the order of operations is followed correctly?
Correct! Tower C has a value of 30.
Try again. Calculate 5 + 3 first, then continue in the correct order.
Next🎉 Congrats! You got this question!
Hint
Look for the expression where an addition is inside parentheses and is followed by multiplication.
All three towers have a value of 30, but the guide says to choose the tower whose expression uses parentheses to make addition happen before multiplication. Which tower fits this clue, and why?
Tower A, because 6 + 4 is added before multiplying by 6.Tower C, because 54 - 3 is calculated before the parentheses.Tower B, because (6 + 4) is calculated before multiplying by 3.Tower A, because expressions without parentheses are always calculated first.Correct! Tower B uses parentheses to make 6 + 4 happen before multiplication.
Try again. Find the tower where parentheses make an addition happen before a multiplication.
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🎉 Congrats! You finished this challenge set!
