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No, they could not. Irrational Numbers are also decimal numbers.

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โˆ™ 2017-02-20 13:46:48
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Q: Could the set of rational numbers include all decimals?
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What can you conclude about rational numbers with denominators that are prime numbers?

There is nothing that you can conclude.They could be recurring decimals or terminating decimals [as rational numbers, there is no other form].They may or may not be in their simplified or reduced form: for example 14/7 is a rational number with a prime denominator but it can be simplified.

Could negative mixed numbers be rational numbers?

Not only could they be, but they always are.

When and why do you need decimals?

You need decimals when you measure and fractions. You need decimals, because to measure and fractions. Also, so whole numbers could exist if there are decimals. There will be no math if there's no decimals.

Is a decimal an irrational or rational number?

A decimal could be both. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

What is the meaning of common decimals?

The common decimals could be the familiar numbers we see most often such as 0.1, 0.5, 0.2 etc.

A real number that is not rational?

Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.

Why rational numbers were required?

First of all counting numbers (positive integers) are rational numbers so without rational numbers there would be no counting. You could not equitably share one item between two or more people without fractions (rational numbers). Everything does not come in whole numbers - there are times when you need half-a-day, or 2.5 teaspoons, etc.

Is the difference of any two irrational numbers rational or irrational?

It could be either.

Could you use decimals in a factor tree?

No. Factors of integers are also integers (whole numbers).

What is the difference between rational numbers and fractions?

A fraction is a ratio of two numbers. Fractions are typically ratios of integers (where the denominator is not zero), which makes them "rational." The root word of rational is ratio. You could have pi/2, or sqr(2)/2, both of which are fractions that are NOT rational.

What are some examples of rational numbers?

1.5 is a rational number because it can be written as the ratio 3/2 7 is a rational number because it could be written as the ratio 7/1 3/4 is a rational number because it could be written as a fraction

Explain why every natural number is also a rational number but not every rational number is a natural number?

The natural numbers (ℕ) are the counting numbers {1, 2, 3, ...} (though some definitions also include zero: 0) which are whole numbers with no decimal part. Every rational number (ℚ) can be expressed as one integer (p) over another integer (q): p/q where q cannot be 0. The rational numbers can be converted to decimal representation by dividing the top number (p) by the decimal number (q): p/q = p ÷ q. When q = 1, this produces the rational numbers: p/1 = p ÷ 1 = p which is just an integer; it could be one of {[0,] 1, 2, 3, ...} - the natural numbers above: thus all natural numbers are rational numbers. When q = 2, and p = 1, this produces the rational number 1/2 = 1 ÷ 2 = 0.5 which is not one of the natural number above - so some rational numbers are not natural numbers, thus all rational numbers are not natural numbers. Thus ℕ ⊂ ℚ (the set of natural numbers is a proper subset of the set of rational numbers).

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