Real Numbers

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself. For example, 81 is a perfect square because it is 9 x 9.

Front

Identify an example of an irrational number.

Back

An irrational number cannot be expressed as a fraction of two integers. For example, √8 is irrational.

Front

Between which two integers does √20 lie?

Back

√20 lies between 4 and 5.

Front

Estimate the square root of 63.

Back

The best estimate for √63 is 7.9.

Front

Estimate √18 using a number line.

Back

The best estimate for √18 is 4.2.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x. For example, √16 = 4.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.

Front

What is the approximate value of √50?

Back

The approximate value of √50 is about 7.1.

Front

How do you determine if a number is a perfect square?

Back

To determine if a number is a perfect square, find its square root and check if it is an integer.