Math Problem Statement

Write 13/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Solution

From the image, the question asks you to write 139\frac{13}{9} as a decimal, and if necessary, use a bar to indicate repeating digits. Let me explain this:

Step-by-Step Solution:

  1. 13÷913 \div 9 gives 1.44441.4444\ldots, where the digit "4" repeats indefinitely.
  2. To represent this as a decimal, write 1.41.\overline{4}, where the bar indicates that the "4" repeats.

Final Answer:

1.41.\overline{4}

Would you like further clarification or a breakdown of how to handle similar problems?

Here are 5 related questions to deepen your understanding:

  1. How do you convert other improper fractions, such as 227\frac{22}{7}, into decimals?
  2. Why do some fractions result in repeating decimals?
  3. What is the relationship between repeating decimals and rational numbers?
  4. How can you identify whether a fraction will terminate or repeat without dividing?
  5. How do you write repeating decimals as fractions?

Tip: When dividing numbers, watch for repeating patterns early to simplify your work!

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Math Problem Analysis

Mathematical Concepts

Fractions
Repeating Decimals
Division

Formulas

Division to convert fractions into decimals

Theorems

Rational numbers theorem (fractions can be represented as either terminating or repeating decimals)

Suitable Grade Level

Grades 6-8