https://file.aiquickdraw.com/mathbot/file/17240675317037ywwgrkb.jpg

The image shows the conversion of an octal number \(882\) to its decimal equivalent. The conversion process is outlined, but the final answer is not yet calculated. Let's go through the steps:

### Step-by-Step Conversion Process:

1. **Write down the octal number:** \(882\)
2. **Break it down into its digits and powers of 8:**

   \[
   8 \times 8^2 + 8 \times 8^1 + 2 \times 8^0
   \]

3. **Calculate each term separately:**

   \[
   8 \times 8^2 = 8 \times 64 = 512
   \]
   \[
   8 \times 8^1 = 8 \times 8 = 64
   \]
   \[
   2 \times 8^0 = 2 \times 1 = 2
   \]

4. **Add the results together:**

   \[
   512 + 64 + 2 = 578
   \]

### Final Answer:
The decimal equivalent of the octal number \(882\) is \( \boxed{578} \).

Would you like any further details or have any questions?

Here are five related questions:
1. How would you convert a decimal number to an octal number?
2. What is the decimal equivalent of the octal number \(745\)?
3. Can you explain why octal is base 8 and how it compares to binary and hexadecimal?
4. How do you convert an octal number to binary?
5. What would the decimal value of octal \(1234\) be?

**Tip:** When converting between number bases, writing out the powers of the base (like \(8^2\), \(8^1\), etc.) can help prevent mistakes.

Learn how to convert the octal number 882 to its decimal equivalent with a detailed step-by-step guide. This problem covers number base concepts and octal to decimal conversion process. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation