Worksheet: Order of Operations: Negative Numbers

In this worksheet, we will practice evaluating numerical expressions involving negative numbers using the order of operations.

Q1:

The weather forecast was announced to be 10C in Cairo and 2C in London. Calculate the difference in temperatures between the two cities.

Q2:

Fill in the blank: (32)3=.

  • A8
  • B2
  • C8
  • D2

Q3:

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 443.2(324), while the second said that it is 443.2+(324). Who was correct?

  • Athe second student
  • Bthe first student

Q4:

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

Time12:00 am1:00 am2:00 am3:00 am4:00 am5:00 am6:00 am7:00 am8:00 am9:00 am10:00 am11:00 am
Temperature (F)223355542035
Time12:00 pm1:00 pm2:00 pm3:00 pm4:00 pm5:00 pm6:00 pm7:00 pm8:00 pm9:00 pm10:00 pm11:00 pm
Temperature (F)710121514131153112

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

  • A9F
  • B13F
  • C13F
  • D3F
  • E2F

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

  • A16
  • B16
  • C14
  • D15
  • E14

Interpret this integer.

  • AThe temperature decreased by 16F between 3:00 pm and 9:00 pm.
  • BThe temperature decreased by 15F between 3:00 pm and 9:00 pm.
  • CThe temperature decreased by 14F between 3:00 pm and 9:00 pm.
  • DThe temperature increased by 14F between 3:00 pm and 9:00 pm.
  • EThe temperature increased by 16F between 3:00 pm and 9:00 pm.

Q5:

The temperature inside a house is 14F, and the temperature outside is 7F lower. What is the temperature outside the house?

Q6:

Fill in the blanks: 7(93)=.

Q7:

Emma and Natalie go to two different cities. When they leave, the outside temperature is 16C. When Emma arrives at her destination, the weather is sunny with a temperature of 22C, while Natalie finds rainy weather with a temperature of 12C.

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

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

Who experienced the largest temperature change?

  • AEmma
  • BNatalie
  • CIt was the same for both.

Q8:

Calculate (19)×19×(5)×(2).

Q9:

Evaluate 4[13+(19)].

Q10:

Calculate [21(19)]÷5×3.

Q11:

Calculate [49÷(7)]×[33÷(11)].

Q12:

Calculate (3+(11))×8.

Q13:

(381,003+797)÷415=.

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