What is a zero pair?
The correct answer and explanation is:
A zero pair is a pair of numbers that add up to zero. These numbers are opposites of each other, meaning one number is the negative of the other. For example, (+3) and (-3) form a zero pair, as they sum to zero. Similarly, (+7) and (-7) also form a zero pair.
The concept of zero pairs is often used in mathematics, particularly in the context of integers and algebra. Zero pairs are helpful in visualizing and solving problems related to addition and subtraction of integers. They are especially useful when simplifying expressions or solving equations involving positive and negative numbers.
In algebra, zero pairs play a key role in understanding how to simplify expressions or solve for variables. For example, if you are solving an equation like x + 5 = 0, you can think of the “+5” as a positive number. To isolate x, you would add a zero pair (-5) to both sides, resulting in x = -5. The idea of zero pairs helps maintain the balance of an equation.
Zero pairs can also be used in problem-solving scenarios involving debt and credit, where the positive number represents credit and the negative number represents debt. For instance, if someone has a debt of 5 units (represented by -5) and gains 5 units of credit (+5), their net balance becomes zero. This helps in understanding real-life financial transactions where credits and debits cancel each other out.
In summary, a zero pair consists of two numbers that cancel each other out. Understanding zero pairs is essential in various areas of mathematics, such as algebra, where they assist in simplifying expressions, solving equations, and visualizing concepts involving both positive and negative numbers.