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Compare the following numbers, using <, >, or =

.
a)10.2
b) 10.02
c) a and b
d) none of these

1 Answer

2 votes

Final answer:

The comparison between the numbers 10.2 and 10.02 results in 10.2 being greater than 10.02. However, the options provided for comparing areas A1, A2, and A3 cannot be determined from the information given, so the answer is 'none of these'. (option d)

Step-by-step explanation:

Comparing two numerical values involves looking at their decimal places to determine which one is larger or if they are equal. In this case, we have the numbers 10.2 and 10.02. When we compare these numbers, we observe that 10.2 has a '2' in the tenths place, while 10.02 has '0' in the tenths place and '2' in the hundredths place. Since the tenths place has a higher value in 10.2, we can conclude that 10.2 is greater than 10.02, hence 10.2 > 10.02.

In terms of the given options for comparison, none of them correctly represents the relationship between A1, A2, and A3 solely based on the information provided in the question. Without specific values or additional context for areas A1, A2, and A3, we cannot compare their sizes accurately. Therefore, the correct response to the question of how to compare the areas A1, A2, and A3 would be 'none of these' since we do not have sufficient information to make an accurate comparison. It's important to approach each question with a critical mind and a thorough understanding of mathematical principles, such as the significance of the position of digits in decimal numbers.

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