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 into a decimal.
To do this, divide 9 by 20:
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:
- What is the difference between a terminating and a repeating decimal?
- How can you convert a repeating decimal back into a fraction?
- What happens when you divide a number by 9 in terms of repeating decimals?
- What is the decimal equivalent of ?
- 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.
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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