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?

1. which statements are true? select all that apply.

a) 1.405 > 1.450
b) 42.03 = 4.203
c) 61.50 < 6.150
d) 9.170 > 9.017
e) 3.6 = 3.600
f) 25.04 < 20.54

1. which two statements about rounding to the nearest hundredth are correct?

a) 5.066 rounds to 5.07.
b) 5.074 rounds to 5.08.
c) 5.117 rounds to 5.10.
d) 5.108 rounds to 5.11.
e) 5.025 rounds to 5.02.

Explanation:

Step1: Calculate Expression A

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

Step2: Calculate Expression B

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

Step3: Calculate Expression C

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

Step4: Calculate Expression 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

$28 > 24 > 23 > 13$

Step1: Set up division for batches

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

Step2: Compute the division

$\frac{6}{\frac{1}{2}} = 6 \times 2 = 12$

Step1: Evaluate Statement A

$1.405 > 1.450$ is false (0.405 < 0.450)

Step2: Evaluate Statement B

$42.03 = 4.203$ is false (42.03 > 4.203)

Step3: Evaluate Statement C

$61.50 < 6.150$ is false (61.50 > 6.150)

Step4: Evaluate Statement D

$9.170 > 9.017$ is true (0.170 > 0.017)

Step5: Evaluate Statement E

$3.6 = 3.600$ is true (trailing zeros don't change value)

Step6: Evaluate Statement F

$25.04 < 20.54$ is false (25.04 > 20.54)

Step1: Evaluate Statement A

5.066 rounded to nearest hundredth: look at thousandths digit 6, round up: 5.07 (true)

Step2: Evaluate Statement B

5.074 rounded to nearest hundredth: look at thousandths digit 4, round down: 5.07 (not 5.08, false)

Step3: Evaluate Statement C

5.117 rounded to nearest hundredth: look at thousandths digit 7, round up: 5.12 (not 5.10, false)

Step4: Evaluate Statement D

5.108 rounded to nearest hundredth: look at thousandths digit 8, round up: 5.11 (true)

Step5: Evaluate Statement E

5.025 rounded to nearest hundredth: look at thousandths digit 5, round up: 5.03 (not 5.02, false)

Answer:

A) $2 \times (5 - 3) \times 7$

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