Approximate Irrational Numbers

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

What is the square root of a number?

Back

The square root of a number 'x' is a value 'y' such that y² = x. For example, √9 = 3 because 3² = 9.

Front

Between which two integers does √26 fall?

Back

√26 falls between 5 and 6.

Front

Between which two integers does √98 fall?

Back

√98 falls between 9 and 10.

Front

Which of the following is a rational number: √20, √64, 6π, √7?

Back

√64 is a rational number because it equals 8.

Front

In between which two integers is the square root of 77?

Back

The square root of 77 is between 8 and 9.

Front

Which of the following is irrational: 0.444444444, -4/5, π, 0.2?

Back

π is an irrational number.

Front

How can you approximate the value of √50?

Back

√50 is approximately 7.07, as it falls between 7 and 8.

Front

What is the approximate value of √2?

Back

The approximate value of √2 is 1.41.

Front

What is the difference between rational and irrational numbers?

Back

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