7.0000000000000000001,7.0000000000000000001000000000000000003, and
7.99999999998 are three possible answers.
7.5, 7.6, 7.7
Exploration task: Inserting rational numbers between two given rational numbers 1. Take any two rational numbers. 2. Add them. 3. Divide the result obtained by 2. 4. Observe the number obtained. Is the answer a rational number? Is it between two given numbers? Brainstorming: How many rational numbers can be inserted between two rational numbers?
3 by 4, 5 by 7, 7 by 10
9/7 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
It belongs to any set that contains it! For example, {-1.576}, or {45, sqrt(2), pi, -3/7, -1.576}, or numbers between -43 and 53, or rational numbers, or real numbers, or negative rational numbers, etc One set in particular that includes -1.576 is the set of rational numbers (ℚ).
irrational because rational numbers are integers such as 7
Exploration task: Inserting rational numbers between two given rational numbers 1. Take any two rational numbers. 2. Add them. 3. Divide the result obtained by 2. 4. Observe the number obtained. Is the answer a rational number? Is it between two given numbers? Brainstorming: How many rational numbers can be inserted between two rational numbers?
3 by 4, 5 by 7, 7 by 10
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.
They are: 7.25, 7.5 and 7.75
7 is a rational number because whole numbers, integers, and natural numbers fit under rational and 7 is a natural number:)Yes.
9/7 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
There are an infinite number of rational numbers that are greater than 7 but less than 8. Any fraction between those two numbers is a rational number, such as: 7 1/8, 7 1/4, 7 1/3, 7 1/2, or even numbers such as 7 4/784 or 7 452/453.
7/8 is a rational number because rational numbers are fractions, numbers that terminate, numbers that repeat.
Rational numbers are numbers that are expressed as a ratio.Such as 7/1, 3/4, 25/37 and so on.They are a ratio of one number to another.Obviously all the whole numbers are rational, as 7/1 which simplifies to 7.
Rational numbers are fractions. There are infinitely many fractions between 1 and 100. You cannot list them all.But numbers like 1/2 and 1/3 are rational and so are ones like 7 which is 7/1.If you give me any two rational numbers, say 6/8 and 7/8, I can find a rational number in the middle. Let's just right 6/8 as 12/16 and 7/8 as 14/16 then 13/16 is in the middle of those two. I can do that again with 13/16 and 14/6 by writing them as26/32 and 28/32 and 27/32 in the middle.I am sure you can see how I can keep doing this forever. This illustrates how between any two rational numbers there is always another. In fact, I just pick the number in the middle of the two, but there are many others between any two rational numbers. We say the rational numbers are a dense subset of the real numbers.
It belongs to any set that contains it! For example, {-1.576}, or {45, sqrt(2), pi, -3/7, -1.576}, or numbers between -43 and 53, or rational numbers, or real numbers, or negative rational numbers, etc One set in particular that includes -1.576 is the set of rational numbers (ℚ).
irrational because rational numbers are integers such as 7