Real Numbers Worksheet I Name:MA 2011. Convert the following fractions to decimals. Note that the prime power representations ofeach denominator contain only 2’s and/or 5’s.(a)740(b)118(c)23252. Classify each decimal according to the following categories• terminating decimal or nonterminating decimals• repeating decimal or non-repeating decimal(a) 123.123(b) 45.4545(c) 0.101001000100001 . . .(d) 0.10101010 . . .(e) 0.9999 . . .(f) 5.67(g) 67.12436363. Convert the following decimals to fractions, if possible.(a) 123.123(b) 45.4545(c) 0.101001000100001 . . .(d) 0.10101010 . . .(e) 0.9999 . . .(f) 5.67(g) 5.675(h) 5.67234(i) 67.124363614. Objective number 48 should say:Know that every terminating decimal is a rational number, that is, every terminating decimalcan be expressed as a fraction.You need to remove the word “repeating”5. Know that every nonterminating, repeating decimal is a rational number, that is, every non-terminating, repeating decimal can be expressed as a fraction.6. Know that every nonterminating, non-repeating decimal is a NOT rational number, that is,every nonterminating, non-repeating decimal CANNOT be expressed as a fraction.7. Show that√2 is irrational.8. Show that 3√2 is irrational.9. Show that 5 +√2 is irrational.10. Know that there are infinitely many irrational numbers.11. Know that every position on the number line represents a real number and every real numberis represented by a position on the number line.12. Know that there are positions on the number line which do not represent rational
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