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Worksheet: Integers

Q1:

Complete the following sentence using “positive” or “negative”. Distances below sea level are represented by numbers, and distances above sea level are represented by numbers.

  • A positive, positive
  • B positive, negative
  • C negative, negative
  • D negative, positive

Q2:

In a bank account summary, debit is represented as a negative number, while credit is represented as a positive number.

Which of the columns A–E represents all the events correctly?

Events A B C D E
Open a bank account with $0. 0 0 0 0 0
A salary of $ 1 2 0 0 was deposited. 1 2 0 0 1 2 0 0 1 2 0 0 1 2 0 0 1 2 0 0
Withdraw $350. 350 3 5 0 3 5 0 3 5 0 3 5 0
An electricity bill of $450 was paid by cheque. 450 4 5 0 450 4 5 0 450
A cheque of $75 was deposited. 7 5 7 5 7 5 75 75
The bank charges credit card fees of $3. 3 3 3 3 3
  • AB
  • BA
  • CC
  • DD
  • EE

Q3:

True or false: 42 is an integer.

  • ATrue
  • BFalse

Q4:

True or false: 6 3 is an integer.

  • ATrue
  • BFalse

Q5:

The Han Dynasty in China began in 206 BCE, and the construction of the Great Wall of China started in 221 BCE. Did the construction of the Great Wall start during the Han Dynasty?

  • Ano
  • Byes

Q6:

A fee of $3.50 was charged to William’s bank account. If we represent this loss by a number on a number line, between which two integers would the number lie?

  • A 3 and 2
  • B3 and 4
  • C2 and 3
  • D 4 and 3
  • E4 and 5

Q7:

Express the following as an integer: 100 B.C.

Q8:

Express the following as an integer: 1980 A.D.

Q9:

The smallest non-negative integer is .

Q10:

Write 7 [ 1 1 ( 8 ) ] in words.

  • Anegative seven times the sum of eleven and negative eight
  • Bnegative seven times the difference of eleven and eight
  • Cnegative seven times the sum of eleven and eight
  • Dnegative seven times the difference of eleven and negative eight
  • Eseven times the difference of eleven and negative eight

Q11:

The greatest negative integer is .

Q12:

Is zero the smallest positive number?

  • A no
  • B yes

Q13:

A metal coin is at the bottom of a pond which is 4 feet deep and whose surface is at sea level. Express the location of the metal coin as a negative integer.

Q14:

Complete the following using positive, negative, or zero: Sea level is represented by .

  • A a negative number
  • B a positive number
  • C zero

Q15:

The smallest positive integer is .

Q16:

Is the number 1 3 an integer?

  • Ano
  • Byes

Q17:

Is the number 7.2 an integer?

  • Ano
  • Byes

Q18:

A bookstore gives away a notebook for every purchase over $66. If there were 50 purchases over $66 on a given day, which of the following represents the change in the number of notebooks the bookstore has in stock at the end of that day?

  • A 6 6
  • B50
  • C66
  • D 5 0
  • E16

Q19:

Madison owed her brother $74. She paid back $33 and then borrowed an additional $8. Which of the following expressions represents this situation?

  • A 7 4 + ( 3 3 ) + ( 8 )
  • B 7 4 + 3 3 + 8
  • C 7 4 + 3 3 + ( 8 )
  • D 7 4 + 3 3 + ( 8 )
  • E 7 4 + ( 3 3 ) + 8

Q20:

The number is neither positive nor negative.

Q21:

Write the integer to represent the following situation: A temperature is 8 C below zero.

Q22:

Write the integer to represent the following situation: A temperature is 4 C above zero.