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In this lesson, we will learn how to read and write integers including describing quantities having opposite directions or values.

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.

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?

Q3:

True or false: 42 is an integer.

Q4:

True or false: − 6 3 is an integer.

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?

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?

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.

Q11:

The greatest negative integer is .

Q12:

Is zero the smallest positive number?

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 .

Q15:

The smallest positive integer is .

Q16:

Is the number 1 3 an integer?

Q17:

Is the number 7.2 an integer?

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?

Q19:

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

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.

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