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Math  /  Numbers & Operations

QuestionThese temperatures were recorded in International Falls, Minnesota, on four consecutive days: day 1:−10∘F1:-10^{\circ} \mathrm{F} day 2:−13∘F2:-13^{\circ} \mathrm{F} day 3:−8∘F3:-8^{\circ} \mathrm{F} day 4:−11∘F4:-11^{\circ} \mathrm{F} On which day was the temperature farthest from 0∘F0^{\circ} \mathrm{F} ? A. day 1 B. day 2 C. day 3 D. day 4

Studdy Solution

STEP 1

1. We are given temperatures for four consecutive days.
2. We need to determine which day's temperature is farthest from 0∘F0^\circ \mathrm{F}.
3. The distance from 0∘F0^\circ \mathrm{F} is measured using the absolute value of the temperature.

STEP 2

1. List the absolute values of the temperatures.
2. Compare the absolute values to find the maximum.
3. Identify the day corresponding to the maximum absolute value.

STEP 3

List the absolute values of the temperatures for each day:
- Day 1: ∣−10∘F∣=10∘F|-10^\circ \mathrm{F}| = 10^\circ \mathrm{F} - Day 2: ∣−13∘F∣=13∘F|-13^\circ \mathrm{F}| = 13^\circ \mathrm{F} - Day 3: ∣−8∘F∣=8∘F|-8^\circ \mathrm{F}| = 8^\circ \mathrm{F} - Day 4: ∣−11∘F∣=11∘F|-11^\circ \mathrm{F}| = 11^\circ \mathrm{F}

STEP 4

Compare the absolute values to find the maximum:
- Day 1: 10∘F10^\circ \mathrm{F} - Day 2: 13∘F13^\circ \mathrm{F} - Day 3: 8∘F8^\circ \mathrm{F} - Day 4: 11∘F11^\circ \mathrm{F}
The maximum absolute value is 13∘F13^\circ \mathrm{F}.

STEP 5

Identify the day corresponding to the maximum absolute value:
The temperature farthest from 0∘F0^\circ \mathrm{F} is on Day 2.
The answer is:
B. day 2\boxed{\text{B. day 2}}

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