Squared Numbers

What is a squared number?

• A number multiplied by itself, such as @@x^2@@

• A number added to itself, such as @@x + x@@

• A number divided by itself, such as @@x/x@@

• A number subtracted from itself, such as @@x - x@@

What is @@2^2@@?

• 2

• 3

• 4

• 5

• 9, because multiplying two negative numbers results in a positive number.

• -9, because the square of a negative number is negative.

• 0, because squaring any number results in zero.

• 3, because the square root of a negative number is positive.

What is @@3^2@@?

• 6

• 8

• 9

• 10

What is @@10^2@@?

• 50

• 100

• 150

• 200

What is @@9^2@@?

• 72

• 81

• 90

• 64

• 0, because zero multiplied by zero is zero.

• 1, because one multiplied by one is one.

• -1, because negative one multiplied by negative one is one.

• Undefined, because zero cannot be squared.

What is the square root of a squared number, e.g., @@\sqrt{16}@@?

• 2

• 4

• 8

• 16

If @@x = 5@@, what is @@x^2@@?

• 20

• 25

• 30

• 15

What is the relationship between squared numbers and area?

• The area of a square is calculated by squaring the length of one of its sides.

• The area of a rectangle is calculated by adding the lengths of its sides.

• The area of a triangle is calculated by squaring the base and height.

• The area of a circle is calculated by squaring the radius.