Math Problem Statement

Write as a decimal number. Use the bar notation for repeating decimals. StartFraction 9 Over 20 EndFraction

. . . Question content area right Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The decimal is repeating and is 0. 4 overbar. B. The decimal is repeating and is 0. 45 overbar. C. The decimal is terminating and is    enter your response here.

Solution

Let's convert the fraction 920\frac{9}{20} into a decimal.

To do this, divide 9 by 20:

920=0.45\frac{9}{20} = 0.45

Since there is no repeating decimal and the result terminates, the correct answer is:

C. The decimal is terminating and is 0.45.

Would you like more details on repeating and terminating decimals? Or have any other questions?

Follow-up questions:

  1. What is the difference between a terminating and a repeating decimal?
  2. How can you convert a repeating decimal back into a fraction?
  3. What happens when you divide a number by 9 in terms of repeating decimals?
  4. What is the decimal equivalent of 78\frac{7}{8}?
  5. How do you determine if a fraction will result in a repeating decimal or a terminating one?

Tip:

To quickly determine whether a fraction will have a terminating decimal, check if the denominator (when simplified) is only divisible by 2 and 5. If it’s divisible by other factors, it will result in a repeating decimal.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Terminating and Repeating Decimals

Formulas

Division of fractions

Theorems

Converting fractions to decimals

Suitable Grade Level

Grades 4-6