Question

1. which expression has the greatest value?

a) 2×(5−3)×7
b) (6×4)×(20−19)
c) 7×(10−5)−22
d) 5 + 10÷(2 + 3)×9

1. stacey has 6 cups of milk. how many batches of cookies can she make if each batch calls for 1/2 cup of milk?

Explanation:

Step1: Calculate Option A

$2 \times (5-3) \times 7 = 2 \times 2 \times 7 = 28$

Step2: Calculate Option B

$(6 \times 4) \times (20-19) = 24 \times 1 = 24$

Step3: Calculate Option C

$7 \times (10-5) - 22 = 7 \times 5 - 22 = 35 - 22 = 13$

Step4: Calculate Option D

$5 + 10 \div (2+3) \times 9 = 5 + 10 \div 5 \times 9 = 5 + 2 \times 9 = 5 + 18 = 23$

Step5: Compare all results

$28 > 24 > 23 > 13$

Step6: Solve the second question

Total milk $\div$ milk per batch = $6 \div \frac{1}{2} = 6 \times 2 = 12$

Answer:

1. A) $2 \times (5 - 3) \times 7$
2. 12