Simplify 30 ÷ |-6|.
Understand the Problem
The question is asking to simplify the expression 30 divided by the absolute value of -6. The absolute value of -6 is 6, so we will essentially be simplifying 30 ÷ 6.
Answer
The answer is 5.
Answer for screen readers
The final answer is 5.
Steps to Solve
- Identify the Absolute Value
The absolute value of -6 is 6. This simplifies the expression to:
$$
30 \div | -6 | = 30 \div 6
$$
- Perform the Division
Now, perform the division:
$$
30 \div 6 = 5
$$
The final answer is 5.
More Information
The absolute value ensures that the expression remains positive. This property is useful in various mathematical applications, including solving equations and inequalities.
Tips
- Mistaking absolute value: Sometimes students forget that the absolute value makes the number positive. Always ensure to apply absolute values correctly.
- Incorrect division: Make sure to perform the division accurately, checking for any calculation errors.
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