true or false
1. fraction cant be written as decimal.
2. natural numbers are referred to as counting numbers.whole numbers consists of counting numbers.whole numbers consist of counting numbers as well as the number 0
3. intergers do not include negative numbers.
4. classifying numbers is another phrase used for naming numbers.
5.rational numbers include fractions,decimals,terminating decimals,repeating decimals,and negative numbers.
6. irrational numbers are the same as rational numbers
7. together,rational numbers and irrational numbers form the sets of real numbers.
8.any example that proves a statement is true is a counterexample.
9. an inequality is a mathematical sentence that compares the value of two expressions using a inequality symbol, such as <or>.
10. two numbers that are the same distance from the same distance from zero on a number line but lie in opposite directions are opposites.
11. the absolute value of a number is its distance from 1 on a number line.
It usually helps answering questions like this - which are really all about definitions - by thinking up an example or two. Usually the answer isn't far behind:
1. Here's a fraction: 1/2. Can that be written as a decimal?
2. Is -5 a whole number? Is zero a whole number?
3. Is -5 an integer?
4. I name the number 3.14159... "pi". Does that classify it?
5. Are the following rational numbers? 1/2, 0.4, 0.3333333...., -10?
6. The square root of 2 is an irrational number. If it's a rational number, you can find two integers P and Q such that P/Q = the square root of 2. Can you?
7. Can you think of a real number that isn't either a rational or an irrational?
8. Here's a statement: "Grass is green". A counterexample is something that proves that the original statement cannot be true. I've just seen some green grass. Does that prove that grass is not green?
9. My wallet contains $10, whereas my friend's wallet contains $5. That describes an inequality - but it isn't a mathematical sentence (though it could be translated into one). Or do we mean the *mathematical definition* of an inequality?
10. Is +5 the opposite of -5? If I make $5 profit, is that the opposite of saying that I make a loss of $5? (I think there's an element of semantics here, to be honest.)
11. What is the absolute value of 10? Is it 9? Because that's the distance between 10 and 1 on a number line.
Does that help?
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