Evaluate each expression. 0/7

Verified step by step guidance

1. Identify the expression given: \(\frac{0}{7}\).
2. Recall the rule for division involving zero: zero divided by any nonzero number is zero.
3. Since the denominator is 7, which is not zero, the division is defined.
4. Therefore, the value of \(\frac{0}{7}\) is 0.
5. No further simplification is needed because the expression is already in simplest form.

Key Concepts

Division by a Nonzero Number

Dividing zero by any nonzero number results in zero. This is because zero divided into any number of parts still yields zero in each part. For example, 0 ÷ 7 equals 0.

Undefined Division

Division by zero is undefined in mathematics because it does not produce a meaningful or unique result. However, dividing zero by a nonzero number is defined and equals zero.

Evaluating Expressions

Evaluating an expression means simplifying it to find its numerical value. Understanding the properties of numbers and operations, such as division rules, is essential to correctly evaluate expressions like 0 ÷ 7.