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Questions and Answers
1.
What is 7/10 expressed as a decimal?
Explanation The fraction 7/10 can be expressed as a decimal by dividing 7 by 10. When we divide 7 by 10, we get 0.7. Another way to represent 0.7 is by simply writing .7. Therefore, both 0.7 and .7 are correct representations of 7/10 as a decimal.
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2.
What is the 3/4 written as a decimal.
Explanation The fraction 3/4 can be written as a decimal by dividing the numerator (3) by the denominator (4). When we divide 3 by 4, we get 0.75. This can also be written as .75.
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3.
Write 10/16 as a decimal.
Explanation The fraction 10/16 can be converted to a decimal by dividing the numerator (10) by the denominator (16). This division gives us a quotient of 0.625. Therefore, the decimal representation of 10/16 is 0.625. The answer provided, 0.625, is correct.
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4.
Change 4/5 to a decimal.
Explanation To change a fraction to a decimal, we divide the numerator (4) by the denominator (5). When we do this, we get 0.8. Another way to represent the decimal 0.8 is .8. Therefore, both 0.8 and .8 are correct representations of the fraction 4/5 as a decimal.
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5.
Write 4 ^{1}/_{2} as a decimal.
Explanation The decimal representation of a mixed number can be found by dividing the whole number part by the denominator and adding the resulting quotient to the fractional part. In this case, the whole number part is 4 and the fractional part is 1/2. Dividing 4 by 2 gives us 2, and adding this to the fractional part gives us 2 + 1/2 = 2.5. Therefore, the decimal representation of 4 1/2 is 4.5.
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6.
What is 3 ^{2}/_{5} written as a decimal?
Explanation The given number, 3 2/5, represents 3 whole units and 2/5 of another unit. To convert this mixed number to a decimal, we add the whole number part (3) to the fraction part (2/5). Since the fraction has a denominator of 5, we divide the numerator (2) by the denominator (5) to get 0.4. Adding this to the whole number part, we get 3.4 as the decimal representation of 3 2/5.
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7.
Write 14 ^{1}/_{10} as a decimal.
Explanation The number 14 1/10 can be written as a decimal by converting the fraction 1/10 into its decimal equivalent, which is 0.1. Therefore, when we add 0.1 to 14, we get the decimal representation of 14 1/10, which is 14.1.
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8.
A repeating decimal goes on forever and never stops.
A.
True
B.
False
Correct Answer
A. True
Explanation A repeating decimal is a decimal number that has a pattern of digits that repeats indefinitely. This means that the decimal goes on forever and never stops. Therefore, the correct answer is true.
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9.
Which of the following is a terminating decimal?
A.
1.2222222222222.....
B.
3.8181818181818181818181.....
C.
14.6432
Correct Answer
C. 14.6432
Explanation A repeating decimal goes on forever and never stops. A terminating decimal has an end.
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10.
What is the decimal form for 1/3?
A.
0.3
B.
0.13
C.
0.3333333333333333333333333333333333.....
Correct Answer
C. 0.3333333333333333333333333333333333.....
Explanation 1/3 is a repeating decimal.
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11.
What is 4/9 written as a decimal.
A.
0.49
B.
0.444444444444444444444444444444444444....
C.
0.4
Correct Answer
B. 0.444444444444444444444444444444444444....
Explanation The correct answer is 0.444444444444444444444444444444444444.... This is because when we divide 4 by 9, we get a repeating decimal where the digit 4 repeats infinitely.
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