Flashcards › Integers › Integers And Non-integers

# Flashcard Set Preview

Side ASide B

(T/F): 2 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 2 has no digits to the right of the decimal point, it is an integer.

(T/F): 9 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 9 has no digits to the right of the decimal point, it is an integer.

(T/F): 13 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 13 has no digits to the right of the decimal point, it is an integer.

(T/F): -1.6 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -1.6 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 5 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 5 has no digits to the right of the decimal point, it is an integer.

(T/F): -6.2 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -6.2 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 0 is an integer.

True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.

(T/F): 0 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 0 ends in 0, it is odd.

(T/F): 18 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 18 ends in 8, it is odd.

(T/F): 3 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 3 ends in 3, it is odd.

(T/F): 30 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 30 ends in 0, it is odd.

(T/F): 30 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 30 ends in 0, it is odd.

(T/F): 17 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 17 ends in 7, it is odd.

(T/F): 928 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 928 ends in 8, it is even.

(T/F): -563 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -563 ends in 3, it is odd.

(T/F): -1073 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1073 ends in 3, it is odd.

(T/F): -1312 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1312 ends in 2, it is even.

(T/F): 926 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 926 ends in 6, it is even.

(T/F): 1878 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1878 ends in 8, it is even.

(T/F): The square root of 80 is a rational number.

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.

(T/F): The square root of 22 is a rational number.

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.

(T/F): The square root of 3 is a rational number.

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.

(T/F): The square root of 25 is a rational number.

True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.

(T/F): The square root of 9 is a rational number.

True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.

(T/F): The square root of 100 is a rational number.

True. EXPLANATION: The square root of 100 is 10, which is an integer, and therefore rational.

(T/F): The square root of 5 is an irrational number.

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.

(T/F): The square root of 99 is an irrational number.

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.

(T/F): The square root of 5 is an irrational number.

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.

(T/F): The square root of 36 is an irrational number.

False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational.

(T/F): The square root of 49 is an irrational number.

False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational.

(T/F): The square root of 16 is an irrational number.

False. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.

(T/F): 15.47 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 15.47 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 5.882 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 5.882 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 11 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 11 has no digits to the right of the decimal point, it is an integer.

(T/F): 4.7 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 4.7 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): -6.99 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -6.99 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): -3 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since -3 has no digits to the right of the decimal point, it is an integer.

(T/F): 0 is an integer.

True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.

(T/F): 12 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 12 ends in 2, it is odd.

(T/F): 29 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 29 ends in 9, it is odd.

(T/F): 30 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 30 ends in 0, it is odd.

(T/F): 2 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 2 ends in 2, it is odd.

(T/F): 9 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 9 ends in 9, it is odd.

(T/F): 0 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 0 ends in 0, it is odd.

(T/F): -473 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -473 ends in 3, it is odd.

(T/F): 932 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 932 ends in 2, it is even.

(T/F): 450 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 450 ends in 0, it is even.

(T/F): -46 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -46 ends in 6, it is even.

(T/F): -1707 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1707 ends in 7, it is odd.

(T/F): 126 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 126 ends in 6, it is even.

(T/F): The square root of 57 is a rational number.

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.

(T/F): The square root of 45 is a rational number.

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.

(T/F): The square root of 63 is a rational number.

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.

(T/F): The square root of 16 is a rational number.

True. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.

(T/F): The square root of 25 is a rational number.

True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.

(T/F): The square root of 81 is a rational number.

True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.

(T/F): The square root of 57 is an irrational number.

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.

(T/F): The square root of 80 is an irrational number.

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.

(T/F): The square root of 3 is an irrational number.

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.

(T/F): The square root of 25 is an irrational number.

False. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.

(T/F): The square root of 25 is an irrational number.

False. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.

(T/F): The square root of 49 is an irrational number.

False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational.

(T/F): 0 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 0 has no digits to the right of the decimal point, it is an integer.

(T/F): 4.9 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 4.9 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 9.83 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 9.83 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 9 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 9 has no digits to the right of the decimal point, it is an integer.

(T/F): -8 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since -8 has no digits to the right of the decimal point, it is an integer.

(T/F): -8 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since -8 has no digits to the right of the decimal point, it is an integer.

(T/F): 0 is an integer.

True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.

(T/F): 6 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 6 ends in 6, it is odd.

(T/F): 9 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 9 ends in 9, it is odd.

(T/F): 37 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 37 ends in 7, it is odd.

(T/F): 22 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 22 ends in 2, it is odd.

(T/F): 9 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 9 ends in 9, it is odd.

(T/F): 7 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 7 ends in 7, it is odd.

(T/F): 1042 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1042 ends in 2, it is even.

(T/F): 259 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 259 ends in 9, it is odd.

(T/F): 6 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 6 ends in 6, it is even.

(T/F): 973 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 973 ends in 3, it is odd.

(T/F): -511 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -511 ends in 1, it is odd.

(T/F): -1611 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1611 ends in 1, it is odd.

(T/F): The square root of 5 is a rational number.

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.

(T/F): The square root of 57 is a rational number.

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.

(T/F): The square root of 63 is a rational number.

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.

(T/F): The square root of 81 is a rational number.

True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.

(T/F): The square root of 64 is a rational number.

True. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational.

(T/F): The square root of 9 is a rational number.

True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.

(T/F): The square root of 22 is an irrational number.

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.

(T/F): The square root of 57 is an irrational number.

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.

(T/F): The square root of 3 is an irrational number.

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.

(T/F): The square root of 9 is an irrational number.

False. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.

(T/F): The square root of 81 is an irrational number.

False. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.

(T/F): The square root of 36 is an irrational number.

False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational.

(T/F): 8.2 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 8.2 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 8.3 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 8.3 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 1.62 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 1.62 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 8 is an integer.

True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 8 has no digits to the right of the decimal point, it is an integer.

(T/F): -3.47 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -3.47 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): -5.9 is an integer.

False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -5.9 has one or more digits to the right of the decimal point, it is not an integer.

(T/F): 0 is an integer.

(T/F): 7 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 7 ends in 7, it is odd.

(T/F): 25 is an even number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 25 ends in 5, it is odd.

(T/F): 22 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 22 ends in 2, it is odd.

(T/F): 11 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 11 ends in 1, it is odd.

(T/F): 26 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 26 ends in 6, it is odd.

(T/F): 15 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 15 ends in 5, it is odd.

(T/F): 1168 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1168 ends in 8, it is even.

(T/F): 1084 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1084 ends in 4, it is even.

(T/F): 1614 is an even number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1614 ends in 4, it is even.

(T/F): -860 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -860 ends in 0, it is even.

(T/F): -888 is an odd number.

False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -888 ends in 8, it is even.

(T/F): -293 is an odd number.

True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -293 ends in 3, it is odd.

(T/F): The square root of 22 is a rational number.

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.

(T/F): The square root of 22 is a rational number.

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.

(T/F): The square root of 57 is a rational number.

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.

(T/F): The square root of 81 is a rational number.

True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.

(T/F): The square root of 16 is a rational number.

True. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.

(T/F): The square root of 64 is a rational number.

True. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational.

(T/F): The square root of 5 is an irrational number.

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.

(T/F): The square root of 3 is an irrational number.

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.

(T/F): The square root of 99 is an irrational number.

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.

(T/F): The square root of 81 is an irrational number.

False. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.

(T/F): The square root of 9 is an irrational number.

False. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.

(T/F): The square root of 64 is an irrational number.

False. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational.