Minimum temperatures: A at \(-4^{\circ}\mathrm{C}\), B at \(-1^{\circ}\mathrm{C}\). Which statement is true?
A is cooler than B
B is cooler than A
There is a difference of 2°C in the temperature
The temperature at A is 4°C higher than that at B
Write the temperatures.
(A = -4^{circ}mathrm{C})
(B = -1^{circ}mathrm{C})
Recall the rule for negatives.
On a number line, numbers further left are smaller and represent colder temperatures.
(-4 < -1)
Compare A and B.
Since (-4^{circ}mathrm{C}) is less than (-1^{circ}mathrm{C}), A is colder than B.
True statement: A is cooler than B. (Option A)
Find the actual temperature difference.
( ext{Difference} = ig|, -4 - (-1) ,ig|)
(= ig|, -4 + 1 ,ig|)
(= ig|, -3 ,ig|)
(= 3^{circ}mathrm{C})
Check the other options.
“B is cooler than A” → false
“There is a difference of (2^{circ}mathrm{C})” → false (actual difference (3^{circ}mathrm{C}))
“The temperature at A is (4^{circ}mathrm{C}) higher than at B” → false (A is lower, not higher)