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Which one of the following is the correct expanded form for the decimal 40.0235?
- a)4 + 2/100 + 3/1000 + 5/10000
- b)40 + 2/100 + 3/1000 + 5/10000
- c)40 + 2/10 + 3/100 + 5/1000
- d)400 + 2/10 + 3/100 + 5/1000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which one of the following is the correct expanded form for the decima...
Explanation:
To convert a decimal number into expanded form, we need to separate the whole number part and the decimal part.
In the given decimal number 40.0235, the whole number part is 40 and the decimal part is 0.0235.
Whole Number Part:
The whole number part is 40, which can be written as 40 + 0.
So the expanded form of the whole number part is 40.
Decimal Part:
The decimal part is 0.0235.
To convert the decimal part into expanded form, we need to look at the place value of each digit.
The first digit after the decimal point is in the tenths place.
The second digit after the decimal point is in the hundredths place.
The third digit after the decimal point is in the thousandths place.
The fourth digit after the decimal point is in the ten-thousandths place.
Therefore, the expanded form of the decimal part is:
0 + 0/10 + 2/100 + 3/1000 + 5/10000
Combining the Whole Number Part and Decimal Part:
Now we can combine the expanded form of the whole number part (40) and the decimal part (0 + 0/10 + 2/100 + 3/1000 + 5/10000).
So the correct expanded form for the decimal 40.0235 is:
40 + 0/10 + 2/100 + 3/1000 + 5/10000
This matches with option B:
40 2/100 3/1000 5/10000
Therefore, the correct answer is option B.
To convert a decimal number into expanded form, we need to separate the whole number part and the decimal part.
In the given decimal number 40.0235, the whole number part is 40 and the decimal part is 0.0235.
Whole Number Part:
The whole number part is 40, which can be written as 40 + 0.
So the expanded form of the whole number part is 40.
Decimal Part:
The decimal part is 0.0235.
To convert the decimal part into expanded form, we need to look at the place value of each digit.
The first digit after the decimal point is in the tenths place.
The second digit after the decimal point is in the hundredths place.
The third digit after the decimal point is in the thousandths place.
The fourth digit after the decimal point is in the ten-thousandths place.
Therefore, the expanded form of the decimal part is:
0 + 0/10 + 2/100 + 3/1000 + 5/10000
Combining the Whole Number Part and Decimal Part:
Now we can combine the expanded form of the whole number part (40) and the decimal part (0 + 0/10 + 2/100 + 3/1000 + 5/10000).
So the correct expanded form for the decimal 40.0235 is:
40 + 0/10 + 2/100 + 3/1000 + 5/10000
This matches with option B:
40 2/100 3/1000 5/10000
Therefore, the correct answer is option B.
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Community Answer
Which one of the following is the correct expanded form for the decima...
Correct answer is B.
40 + 2/100 + 3/1000 + 5/10000
= 40 + 0.02 + 0.003 + 0.0005
= 40.0235
40 + 2/100 + 3/1000 + 5/10000
= 40 + 0.02 + 0.003 + 0.0005
= 40.0235
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