Question

1. leon wrote an expression that is equivalent to (30 + 6) ÷ 12. which expression could be the one leon wrote?

a. 36 ÷ 3 · 4
b. (3 · 3 · 4) ÷ 4 · 3
c. 5 · 6 + 2 · 3 ÷ 3 · 2 · 2
d. (3 · 3 · 2 · 2) ÷ (3 · 2 · 2)

Explanation:

Step1: Calculate original expression

First, compute the value of the given expression:
$$(30 + 6) \div 12 = 36 \div 12 = 3$$

Step2: Evaluate option a

Calculate the value of option a:
$$36 \div 3 \cdot 4 = 12 \cdot 4 = 48$$

Step3: Evaluate option b

Calculate the value of option b:
$$(3 \cdot 3 \cdot 4) \div 4 \cdot 3 = 36 \div 4 \cdot 3 = 9 \cdot 3 = 27$$

Step4: Evaluate option c

Calculate the value of option c:
$$5 \cdot 6 + 2 \cdot 3 \div 3 \cdot 2 \cdot 2 = 30 + 2 \cdot 2 \cdot 2 = 30 + 8 = 38$$

Step5: Evaluate option d

Calculate the value of option d:
$$(3 \cdot 3 \cdot 2 \cdot 2) \div (3 \cdot 2 \cdot 2) = 36 \div 12 = 3$$

Answer:

d. $(3 \cdot 3 \cdot 2 \cdot 2) \div (3 \cdot 2 \cdot 2)$