Term
| (T/F): The square root of 80 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 80, the square root of 80 is irrational. |
|
|
Term
| (T/F): The square root of 22 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational. |
|
|
Term
| (T/F): The square root of 3 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational. |
|
|
Term
| (T/F): The square root of 25 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 9 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 100 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 100 is 10, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 5 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational. |
|
|
Term
| (T/F): The square root of 99 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 99, the square root of 99 is irrational. |
|
|
Term
| (T/F): The square root of 5 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational. |
|
|
Term
| (T/F): The square root of 36 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 49 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 16 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The number 85.6060606060. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 60 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 25.232232232232232. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 232 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 8.99999. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 9 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 21.167167167167167. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 167 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 23.290290290290290. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 290 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 16.211211211211211. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 211 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 12.67677677767777. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 7's after each 6 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 32.23233233323333. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 3's after each 2 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 4.49499499949999. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 9's after each 4 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 65.34344344434444. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 4's after each 3 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 16.62622622262222. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 6 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 90.20200200020000. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 0's after each 2 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The square root of 57 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational. |
|
|
Term
| (T/F): The square root of 45 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 45, the square root of 45 is irrational. |
|
|
Term
| (T/F): The square root of 63 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 63, the square root of 63 is irrational. |
|
|
Term
| (T/F): The square root of 16 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 25 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 81 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 57 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational. |
|
|
Term
| (T/F): The square root of 80 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 80, the square root of 80 is irrational. |
|
|
Term
| (T/F): The square root of 3 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational. |
|
|
Term
| (T/F): The square root of 25 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 25 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 49 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The number 17.7171717171. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 71 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 37.273273273273273. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 273 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 96.280280280280280. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 280 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 4.296296296296296. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 296 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 80.111111111111111. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 111 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 28.145145145145145. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 145 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 36.38388388838888. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 8's after each 3 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 9.50500500050000. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 0's after each 5 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 32.91911911191111. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 9 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 26.20200200020000. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 0's after each 2 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 7.58588588858888. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 8's after each 5 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 51.92922922292222. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 9 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The square root of 5 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational. |
|
|
Term
| (T/F): The square root of 57 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational. |
|
|
Term
| (T/F): The square root of 63 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 63, the square root of 63 is irrational. |
|
|
Term
| (T/F): The square root of 81 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 64 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 9 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 22 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational. |
|
|
Term
| (T/F): The square root of 57 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational. |
|
|
Term
| (T/F): The square root of 3 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational. |
|
|
Term
| (T/F): The square root of 9 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 81 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 36 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The number 39.242242242242242. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 242 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 35.247247247247247. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 247 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 94.5454545454. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 54 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 91.3333333333. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 33 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 76.278278278278278. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 278 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 91.7474747474. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 74 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 57.82822822282222. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 8 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 21.97977977797777. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 7's after each 9 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 21.04044044404444. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 4's after each 0 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 92.28288288828888. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 8's after each 2 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 4.71711711171111. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 7 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 20.54544544454444. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 4's after each 5 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The square root of 22 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational. |
|
|
Term
| (T/F): The square root of 22 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational. |
|
|
Term
| (T/F): The square root of 57 is a rational number. |
|
Definition
| False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational. |
|
|
Term
| (T/F): The square root of 81 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 16 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 64 is a rational number. |
|
Definition
| True. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 5 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational. |
|
|
Term
| (T/F): The square root of 3 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational. |
|
|
Term
| (T/F): The square root of 99 is an irrational number. |
|
Definition
| True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 99, the square root of 99 is irrational. |
|
|
Term
| (T/F): The square root of 81 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 9 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The square root of 64 is an irrational number. |
|
Definition
| False. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational. |
|
|
Term
| (T/F): The number 10.105105105105105. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 105 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 64.132132132132132. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 132 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 99.233233233233233. . . is rational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 233 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 46.6969696969. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 69 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 76.6969696969. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 69 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 66.185185185185185. . . is irrational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 185 repeats forever, so the number is rational. |
|
|
Term
| (T/F): The number 77.51511511151111. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 5 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 90.06066066606666. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 6's after each 0 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 33.23233233323333. . . is irrational. |
|
Definition
| True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 3's after each 2 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 40.61611611161111. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 6 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 68.01011011101111. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 0 keeps growing, so the number is irrational. |
|
|
Term
| (T/F): The number 18.82822822282222. . . is rational. |
|
Definition
| False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 8 keeps growing, so the number is irrational. |
|
|
