"Integers" Example Sentences
1. The set of integers includes all whole numbers and their opposites.
2. When adding integers, remember to follow the rules of signs.
3. Integers can be negative, positive, or zero.
4. Subtracting integers can be tricky, but it's all about keeping track of the signs.
5. A few examples of common integers include 1, -3, and 0.
6. Multiplying two negative integers results in a positive integer.
7. The absolute value of an integer is its distance from zero on the number line.
8. When graphing integers, you can use an open dot for non-inclusive endpoints.
9. Dividing integers involves finding the quotient and, sometimes, the remainder.
10. To simplify fractions with integers, you can factor out any common factors.
11. Rational numbers can often be written as a fraction with integers in the numerator and denominator.
12. If the numbers in a sequence are all integers, it is an integer sequence.
13. The greatest common factor is the largest integer that divides two numbers without leaving a remainder.
14. An integer can be represented as a fraction with a denominator of 1.
15. To convert a fraction to a mixed number, you need to divide the numerator by the denominator and write the quotient as the whole number and the remainder over the denominator.
16. The Euler totient function is used to determine the number of integers less than or equal to a given number that are coprime with the number.
17. In algebraic expressions, integers are often represented by the letter "n".
18. One property of integers is that they are closed under addition, subtraction, and multiplication.
19. Integers can be classified as even or odd based on their divisibility by 2.
20. When solving equations with integers, always check your answers for extraneous solutions.
21. Systems of linear equations can have integer solutions, non-integer solutions, or no solutions at all.
22. Finding the square root of an integer may or may not result in an integer answer.
23. Pascal's triangle is a method for generating binomial coefficients, which are integers that appear in binomial expansions.
24. The Pythagorean theorem is a formula that relates the side lengths of a right triangle using integers.
25. The order of operations can sometimes cause confusion when working with integers and other numbers.
26. Integers can be used to represent quantities in real-world problems, such as distances or temperatures.
27. Integer programming is a mathematical optimization technique that deals with optimizing a linear function subject to integer constraints.
28. In everyday language, integers are often referred to as whole numbers.
29. When rounding decimals to integers, we typically round up if the decimal is exactly halfway between two integers.
30. One application of modular arithmetic involves congruent integers, which are integers that leave the same remainder when divided by a given modulus.
Common Phases
1. Adding
integers;
2. Subtracting
integers;
3. Multiplying
integers;
4. Dividing
integers;
5. Integer exponents;
6. Integer square roots;
7. Absolute value of
integers;
8. Comparing
integers;
9. Simplifying expressions with
integers;
10. Solving equations with
integers.