Worksheet: Evaluating Numerical Expressions Involving Negative Numbers

In this worksheet, we will practice evaluating numerical expressions involving negative numbers.

Q1:

Harry jumped from a ramp 5 metres high into the water, and ended up 10 metres below the surface.

Write an addition expression that describes the distance he travelled.

  • A 5 + 1 0
  • B 1 0 + ( 5 )
  • C 5 + ( 1 0 )

Write a subtraction expression that describes the distance he travelled.

  • A 1 0 5
  • B 1 0 ( 5 )
  • C 5 1 0

Q2:

The weather forecast was announced to be 1 0 C in Cairo and 2 C in London. Calculate the difference in temperatures between the two cities.

  • A 10 degrees Celsius
  • B 8 degrees Celsius
  • C 2 degrees Celsius
  • D 12 degrees Celsius

Q3:

Fill in the blank: ( 3 2 ) 3 = .

  • A 2
  • B 8
  • C 2
  • D 8

Q4:

A teacher asked his students to find an expression that can be used to find the difference between the height of the Empire State Building, 443.2 m, and the height of the Eiffel Tower, 324 m. The first student said the expression is 4 4 3 . 2 ( 3 2 4 ) , while the second said that it is 4 4 3 . 2 + ( 3 2 4 ) . Who was correct?

  • Athe second student
  • Bthe first student

Q5:

The table shows the temperatures for one day in January in a city.

Time 12:00 am 1:00 am 2:00 am 3:00 am 4:00 am 5:00 am 6:00 am 7:00 am 8:00 am 9:00 am 10:00 am 11:00 am
Temperature (F) 2 2 3 3 5 5 5 4 2 0 3 5
Time 12:00 pm 1:00 pm 2:00 pm 3:00 pm 4:00 pm 5:00 pm 6:00 pm 7:00 pm 8:00 pm 9:00 pm 10:00 pm 11:00 pm
Temperature (F) 7 10 12 15 14 13 11 5 3 1 1 2

Find the change in temperature between 8:00 am and 6:00 pm.

  • A 1 3 F
  • B 2 F
  • C 9 F
  • D 1 3 F
  • E 3 F

Write an integer to describe the change in temperature between 3:00 pm and 9:00 pm.

  • A 1 5
  • B16
  • C14
  • D 1 4
  • E 1 6

Interpret this integer.

  • AThe temperature increased by 1 4 F between 3:00 pm and 9:00 pm.
  • BThe temperature decreased by 1 4 F between 3:00 pm and 9:00 pm.
  • CThe temperature decreased by 1 5 F between 3:00 pm and 9:00 pm.
  • DThe temperature decreased by 1 6 F between 3:00 pm and 9:00 pm.
  • EThe temperature increased by 1 6 F between 3:00 pm and 9:00 pm.

Q6:

The temperature inside a house is 1 4 F , and the temperature outside is 7 F lower. What is the temperature outside the house?

Q7:

Fill in the blanks: 7 ( 9 3 ) = .

Q8:

Emma and Natalie go to two different cities. When they leave, the outside temperature is 1 6 C . When Emma arrives at her destination, the weather is sunny with a temperature of 2 2 C , while Natalie finds rainy weather with a temperature of 1 2 C .

Express the difference between the temperature at their destination and that where they departed.

  • AEmma: + 6 C , Natalie: 4 C
  • BEmma: 4 C , Natalie: + 6 C
  • CEmma: + 4 C , Natalie: 6 C
  • DEmma: 6 C , Natalie: + 4 C
  • EEmma: + 6 C , Natalie: + 4 C

Who experienced the largest temperature change?

  • AIt was the same for both.
  • BEmma
  • CNatalie

Q9:

Calculate ( 1 9 ) × 1 9 × ( 5 ) × ( 2 ) .

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