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-terminating and non-repeating.

Front

What is the square root of 40?

Back

The square root of 40 is approximately 6.32, which lies between the integers 6 and 7.

Front

Which two integers does √98 fall between?

Back

√98 is approximately 9.90, which falls between the integers 9 and 10.

Front

Identify an example of an irrational number.

Back

π (pi) is an example of an irrational number.

Front

What is the square root of 4?

Back

The square root of 4 is 2, which is a rational number.

Front

What characterizes irrational numbers?

Back

Irrational numbers never end and never repeat in their decimal form.

Front

Can an irrational number be a perfect square?

Back

No, perfect squares are rational numbers because they can be expressed as the square of an integer.

Front

What is the approximate value of √50?

Back

√50 is approximately 7.07, which lies between the integers 7 and 8.

Front

What is the difference between rational and irrational numbers?

Back

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

Front

Is -4/5 a rational number?

Back

Yes, -4/5 is a rational number because it can be expressed as a fraction.