Estimating and Comparing Irrational Numbers

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers.

Tags

CCSS.8.NS.A.1

Front

What is the approximate value of √12?

Back

3.5

Tags

CCSS.8.NS.A.2

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Tags

CCSS.8.EE.A.2

Front

Which best represents the length of one side of a square with an area of 20 square meters?

Back

Approximately 4.5 m.

Tags

CCSS.8.EE.A.2

Front

What is the relationship between the area of a square and the length of its side?

Back

The area of a square is equal to the length of one side squared (Area = side²).

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

Which number has a square root that could be estimated at 8.9?

Back

80

Tags

CCSS.8.NS.A.2

Front

How do you estimate the square root of a number?

Back

To estimate the square root, find two perfect squares between which the number lies and average their square roots.

Tags

CCSS.8.NS.A.2

Front

What is the approximate value of √17?

Back

Approximately 4.1.

Tags

CCSS.8.NS.A.2

Front

If the area of a square is 117 square meters, what is the approximate length of a side?

Back

Approximately 10.8 m.

Tags

CCSS.8.NS.A.2

Front

What is the significance of estimating irrational numbers?

Back

Estimating irrational numbers helps in making quick calculations and comparisons without needing exact values.

Tags

CCSS.8.NS.A.2