
Concept explainers
Complete each statement with the correct word from the column on the right.
trillion
million
billion
arithmetic numbers
repeating
terminating
A _______decimal occurs when we convert a fraction to a decimal and the denominator of the fraction has at least one factor other than 2 or 5. [3.5a]

To fill: The incomplete sentence, ‘A ___ decimal occurs when we convert a fraction to a decimal and the denominator of the fraction has at least one factor other than 2 or 5’.
Answer to Problem 1VR
Solution:
The complete sentence is ‘A repeating decimal occurs when we convert a fraction to a decimal and the denominator of the fraction has at least one factor other than 2 or 5’.
Explanation of Solution
Given Information:
The provided incomplete sentence is ‘A ___ decimal occurs when we convert a fraction to a decimal and the denominator of the fraction has at least one factor other than 2 or 5’.
The provided choices of words are, trillion, million, billion, arithmetic numbers, repeating, terminating
Explanation:
Consider the provided incomplete sentence, ‘A ___ decimal occurs when we convert a fraction to a decimal and the denominator of the fraction has at least one factor other than 2 or 5’.
For fractions with denominators that have numbers with factors other than 2 or 5, the number is not divisible completely, thus, converting the decimals with repeating numbers after the decimal point.
For example,
Perform long division,
After this, the numbers in the quotient are repeated, and the quotient is
Hence, the complete sentence is ‘A repeating decimal occurs when we convert a fraction to a decimal and the denominator of the fraction has at least one factor other than 2 or 5’.
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