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Integers, Rational Numbers, Absolute Value, and the Meaning of 0

Total questions: 34

Worksheet time: 1hrs 8mins

Name
Class
Date
1.
My friend and I went scuba diving.  I dove to a depth of 30 feet while my friend stayed at the surface.  Which integers represent our location?
a)
Me (0) My friend (30)
b)
Me (-30) My friend (0)
c)
Me (30) My friend (0)
d)
Me (30) My friend (-30)
2.
Which integer represents a loss of 15 yards on the football field?
a)
0
b)
15
c)
-15
d)
-30
3.
Which integer represents a gain of 20 yards on the football field? 
a)
-20
b)
20
c)
0
d)
40
4.
I earned $125 last weekend by selling items in a yard sale.  Which integer represents my earnings?
a)
-125
b)
125
c)
0
5.
I decided to donate some of my hair to help make wigs for people with cancer.  If I cut 14 inches of my hair to donate, what integer could represent that?
a)
0
b)
14
c)
-14
6.
2,250 below sea level.
a)
2,250
b)
-2,250
7.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
8.
During the month of January, Lana did not show any weight change. 
Hint: She did not gain or loose weight. Her weight remained the same.
a)
5 pounds
b)
-5 pounds
c)
0 pounds
9.

Jack stands on a platform 10 feet above the water. He dives to a depth of eight feet below the water. What does zero represent in this situation?

a)

Zero is the height Jack dives from.

b)

Zero is the surface of the water.

c)

Zero is the depth Jack dives to.

d)

Zero is 10 + 8 = 18.

10.

A plane is flying at an elevation of 15,281 feet above sea level. What would zero represent in this situation?

a)

The elevation of sea level.

b)

The elevation of the plane.

c)

The elevation of the location where the plane took off.

d)

The lowest point the plane will fly at.

11.

Numbers to the left of zero on a number line are ________

a)

positive

b)

negative

c)

neither

12.

Numbers to the right of zero on a number line are _____

a)

positive

b)

negative

c)

neither

13.

Zero is ___________

a)

positive

b)

negative

c)

neither

14.

Integers are the set of _________

a)

fractions

b)

whole numbers

c)

negative numbers

d)

whole numbers and their opposites

15.

Explain the Meaning of zero. Deposit of $55.

a)

You lost $55.

b)

You still have $55.

c)

The money you have did not change.

d)

You gave someone $55.

16.

Explain the meaning of zero. The child was 5 inches above normal on the growth chart.

a)

Normal range on the growth chart

b)

The child is tall.

c)

The child is not tall.

d)

The child is growing fast.

17.

Which integer represents. You ascended 2250 feet.

a)

2250 feet

b)

-2250

c)

2000 feet

d)

-2000 feet

18.

The distance between a number and zero on a number line is also called

a)

opposites

b)

integers

c)

absolute value

d)

rational numbers

19.

The set of positive whole numbers, their opposites and zero.

a)

opposites

b)

integers

c)

absolute value

d)

rational numbers

20.

Any number that can be written as a fraction.

a)

opposites

b)

integers

c)

absolute value

d)

rational numbers

21.

Two numbers that are the same distance from 0 on a number line, but in opposite directions.

a)

opposites

b)

integers

c)

absolute value

d)

rational numbers

22.

The absolute value of 0 is 0.

a)

True

b)

False

23.

Integers can be negative numbers

a)

True

b)

False

24.

A fraction is never a rational number.

a)

True

b)

False

25.

The opposite of a number is always positive

a)

True

b)

False

26.

The absolute value of a number is always positive.

a)

True

b)

False

27.

A decimal is never a rational number.

a)

True

b)

False

28.

Every counting number is an integer.

a)

True

b)

False

29.

The opposite of a number is sometimes negative.

a)

True

b)

False

30.

The table shows the location of four cites relative to sea level. Find the city that is closest to sea level.

a)

City A

b)

City B

c)

City C

d)

City D

31.

The table shows the location of four treasure chests relative to sea level. Which treasure chest is farthest from sea level?

a)

Treasure Chest A

b)

Treasure Chest B

c)

Treasure Chest C

d)

Treasure Chest D

32.

Three customers have accounts owing money. The table shows the account balances that represent what the customers owe. Which customer owes the most amount of money?

a)

M. Milo

b)

B. Barker

c)

S. Stampas

33.

Three customers have accounts owing money. The table shows the account balances that represent what the customers owe. Which customer owes the least amount of money?

a)

M. Palmer

b)

B. Leftwich

c)

R. Jordan

34.

The absolute value of a number is 37. What is this number? Select all that apply.

a)

37

b)

− 137-\ \frac{1}{37}

c)

73

d)

137\frac{1}{37}

e)

-37

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