<p> Real Numbers</p><p>1. From the list</p><p>{ 2, 3/5, , } </p><p>Identify which ones are </p><p> a) Integers b) Rational c) Irrational d) Real</p><p>2. Determine if the statement is True or False.</p><p> a) Any Natural number is an Integer.</p><p> b) Any Integer is a Rational number.</p><p> c) A Real number can be only Irrational.</p><p> d) A terminating decimal is an Irrational number.</p><p> e) 0/5 = 0</p><p> f) A Rational number can be either a terminating decimal or non-terminating decimal with a repeating pattern. </p><p>3. State the set of integers. </p><p>4. State the set of integers between -4 and 8. </p><p>5. State the set of all natural numbers that are multiples of 5. </p><p>6. State the even natural numbers.</p><p>7. Determine if is a real number. </p><p>8. Put a check mark in each box if the number is a member of that set.</p><p>Naturals Integers Rational Irrational Real</p><p>0</p><p>9. Express the set of all real numbers using interval notation. </p><p>10. Express the set of all real numbers greater than or equal to zero. </p><p>11. Express the set of all real numbers less than or equal to 4</p><p>12. Explain why is not a real number. </p><p>Solutions:</p><p>1. a) 2, 0, -2, b) 2, 3/5 , .35, 6.45, 0, -2 , .26262626…, c) d) All of them except </p><p>2. a) True b) True c) False d) False e) True f) True</p><p>3. … -3, -2, -1, 0, 1, 2, 3, …..</p><p>4. -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7</p><p>5. 5, 10, 15, 20, 25, …..</p><p>6. 2, 4, 6, 8, 10, …..</p><p>7. No it is not real. Why? 8. A) 0 is an integer , rational and real.</p><p>B) 18 is a natural, integer, rational and real. </p><p>C) is irrational and real. </p><p>9. or </p><p>10.</p><p>11. </p>