Axioms
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Axiom 1 | Quantities that are equal to the same quantity or to equal quantities are equal to each other.
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| Axiom 2 | If equals are added to equals, the sums are equal. (addition axiom)
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| Axiom 3 | If equals are subtracted from equals, the remainders are equal. (subtraction axiom)
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| Axiom 4 | Doubles of equals are equal. In general, if equals are multiplied by equals, the products are equal. (multiplication axiom)
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| Axiom 5 | Halves of equals are equal. In general, if equals are divided by equals, the quotients are equal. The divisor must not be zero. (division axiom)
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| Axiom 6 | The whole is equal to the sum of all its parts.
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| Axiom 7 | The whole is greater than any of its parts.
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| Axiom 8 | A quantity may be substituted for its equal in any process. (substitution axiom)
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| Axiom 9 | If the first of three quantities is greater than the second quantity, and the second is greater than the third, then the first is greater than the third.
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Created by:
bekaboo121390
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