The temperature was −4°F this morning. If the temperature dropped 7°F, what is the temperature now?
To find the temperature now, you need to subtract 7°F from −4°F.
-4°F - 7°F = -11°F
Therefore, the temperature now is -11°F.
The elevation of the basement floor in a building is -14 ft. The elevation of the roof is 36 feet. What is the distance from the basement floor to the roof?
To find the distance from the basement floor to the roof, you need to find the difference in elevation between the two.
36 ft - (-14 ft) = 36 ft + 14 ft = 50 ft
Therefore, the distance from the basement floor to the roof is 50 ft.
16 + (-27) =
To add a positive number and a negative number, you subtract the absolute values and keep the sign of the number with the greater absolute value.
16 + (-27) = 16 - 27 = -11
Therefore, 16 + (-27) equals -11.
I. You remove 10 lbs of apples from a pile.
II. You fill a tub with 10 gallons of water.
III. You withdraw $10 from a bank account.
The integer -10 would BEST represent which of these events?
The integer -10 would best represent the event of withdrawing $10 from a bank account.
Reasoning:
- When we remove 10 lbs of apples from a pile, we are subtracting 10 from the total weight, but since it is related to weight, it would more accurately be represented by -10 lbs or simply 10 lbs with a negative sign.
- When we fill a tub with 10 gallons of water, we are adding water, so it would not be represented by a negative integer.
- However, when we withdraw $10 from a bank account, we are subtracting 10 from the balance, and since it involves money or a numerical value, it is better represented by the integer -10.
Therefore, the event of withdrawing $10 from a bank account would be BEST represented by the integer -10.
A rock is thrown into a lake from a bridge 133 feet above the lake's surface. The rock sinks 78 feet below the lake's surface. What is the difference between the elevations?
To find the difference between the elevations, we need to subtract the depth the rock sinks below the lake's surface from the height of the bridge.
Difference = Height of the bridge - Depth below the lake's surface
Difference = 133 ft - 78 ft
Difference = 55 ft
Therefore, the difference between the elevations is 55 feet.