Negative numbers questions with answers

Questions

1. Question 1Compare: < or >

   Write $<$ or $>$ in the box to make the statement correct: $-5 \;\square\; -14$

   Show the worked solution

   1. Step 1: On a number line, numbers increase from left to rightOn the number line, $-5$ is to the right of $-14$.
   2. Step 2: The number further left is the smaller one$-5 > -14$
2. Question 2Put in order

   Arrange the following numbers in descending order: $12,\ -14,\ 5,\ -7,\ -2$

   Show the worked solution

   1. Step 1: Write them from the largest (furthest right on a number line) to the smallest$12 > 5 > -2 > -7 > -14$
3. Question 3Read a number line

   The number line is divided into equal parts. Write down the number that the point S represents.

   Show the worked solution

   1. Step 1: Find what one division stands for: the gap between two numbers, divided by the number of divisionsFrom $-20$ to $-15$ there are $5$ divisions.One division $= \dfrac{-15 - (-20)}{5}$$= 1$
   2. Step 2: Count the divisions from the numbered mark on its left (moving right adds)$S = -20 + 4 \times 1$$= -16$
4. Question 4Temperature rises and falls

   At 6 a.m., the temperature in Toronto was $-10^\circ\text{C}$. By noon, it had fallen by $5^\circ\text{C}$. Find the temperature at noon.

   Show the worked solution

   1. Step 1: Write the calculation: the starting temperature, then the changeTemperature at noon $= -10 - 5$$= -15$ °C
5. Question 5Difference in temperature

   One morning, the temperature in Singapore was $22^\circ\text{C}$ and the temperature in Toronto was $-13^\circ\text{C}$. Find the difference between the two temperatures.

   Show the worked solution

   1. Step 1: Difference = higher temperature − lower temperatureDifference $= 22 - (-13)$
   2. Step 2: Subtracting a negative number is the same as adding$= 22 + 13$$= 35$ °C