Science

Math and Arithmetic

123

observation without numerical values are qualatative with numbers is quantatative

that apple is red (includes no numbers at all and it describes an apple which is an observation)

Qualitative observations

Qualitative data - it describes observations such as colour, state of matter, smell, etc. which cannot be measured.Quantitative data is any data which has been measured / is expressed in numbers, e.g. volume, height, weight.

Numbers that cannot be expressed in the form of a ratio of two integers.

Irrational numbers can't be expressed as fractions .

Rational numbers can be expressed as a ratio of two integers, irrational numbers cannot be expressed in that way.

These are the numbers which cannot be expressed as ratios of two integers.

Rational numbers can be expressed as a ratio of 2 integers, irrational number cannot be so expressed.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

They are irrational numbers, imaginary numbers, complex numbers, quaternions.

They are real numbers that cannot be expressed in the form of a ratio of two integers.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Rational numbers can be expressed in the form p/q (where q is not equal to zero). Irrational numbers cannot be expressed in this form. For example, the square root of 2 cannot be expressed as p/q.

There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.

No -6 can be expressed as a fraction (-6/1) and therefore cannot be irrational. Irrational numbers cannot be expressed as fractions.

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