Deep in the island jungle, Emek and Luna reached a locked gate marked with the number 36. Three nearby stones showed the expressions (7 + 5) * 3, 7 + 5 * 3, and 60 - (8 + 4) * 2. Emek worked inside the parentheses first and found the values 36, 22, and 36. Two stones matched the gate number, so Luna checked the carvings for another clue. An arrow pointed to the expression that began with parentheses. They chose (7 + 5) * 3, pressed the matching stone, and the gate opened to the next trail.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Evaluate each expression using the order of operations and compare each result with 36.
Two stones had a value of 36. Which pair of expressions matched the gate number?
(7 + 5) * 3 and 7 + 5 * 37 + 5 * 3 and 60 - (8 + 4) * 2(7 + 5) * 3 and 60 - (8 + 4) * 2All three expressionsCorrect! Both (7 + 5) * 3 and 60 - (8 + 4) * 2 have a value of 36.
Try again. Find the value of each expression and identify the two that equal 36.
Next🎉 Congrats! You got this question!
Hint
Do the multiplication before the addition.
The second stone showed 7 + 5 * 3. What is its value when the order of operations is followed correctly?
Correct! Multiplying first gives a value of 22.
Try again. Calculate 5 * 3 before adding 7.
Next🎉 Congrats! You got this question!
Hint
Compare which operation is completed first in each expression.
Emek found that (7 + 5) * 3 equals 36, but 7 + 5 * 3 equals 22. What best explains why the two expressions have different values?
In the first expression, the parentheses make 7 + 5 happen before multiplication.In the second expression, addition is always done before multiplication.Parentheses do not change the order of operations.Both expressions should have the same value because they use the same numbers.Correct! The parentheses change which operation is completed first.
Try again. Think about how the parentheses affect the order of operations.
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🎉 Congrats! You finished this challenge set!
