Rational Numbers

Real Numbers

Things you need to know about rational and irrational numbers- including roots and squares

Open Ended

Describe a counting (natural) number.

Open Ended

Describe a whole number.

Open Ended

Describe an integer.

Hierarchy of whole numbers

Multiple Choice

What is a rational number?

• A number that makes sense

• a number that can be written as a fraction of whole numbers

• any number you can enter into a calculator

• a number that has a square root

Multiple Select

Select all the rational numbers

• 17

• 0.2

• 36/11

• √16

If rational numbers can be written as fractions, the irrational numbers cannot.

Open Ended

If rational numbers can be written as fractions, the irrational numbers cannot. Can you think of any irrational numbers?

Multiple Choice

What is a perfect square?

• A number whos square root is a whole number

• a number that is divisible by 4

• a number raised to the second power

Multiple Select

Which of these are perfect squares?

• 14

• 16

• 9

• 53

• 2

Open Ended

If a number is not a perfect square, how do you estimate its value?

Multiple Choice

Which of these has the greatest value?

• √78

• √123

• √25

Multiple Choice

Estimate the value of √22 to the nearest whole number.

• 3

• 10

• 5

• 11

Multiple Choice

Estimate the value of √18 to the nearest whole number.

• 5

• 4

• 9

• 8

Multiple Choice

Estimate the value of √118 to the nearest whole number.

• 10

• 11

• 50

• 58

Open Ended

Describe a cube root.

Multiple Select

Which of these is a perfect cube?

• 9

• 27

• 125

• 8

Match

Match the following

• A number with no fractional or decimal part and starting with zero.

• Whole numbers from 1 and up (counting numbers)

• All whole numbers and their negative counterparts (opposites)

• Positive or negative, large or small, whole numbers, fractions or decimal numbers/rational and irrational numbers

• All positive and negative integers, fractions and decimal numbers.

Whole number

Natural number

Integer

Real number

Rational number

• Whole number

• Natural number

• Integer

• Real number

• Rational number