Flashcards for:
Comparing Decimal Numbers
What happens to value as number places go further to the right in decimal numbers?
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The value becomes smaller as number places go further to the right because they represent parts of the whole that are increasingly smaller.
Is comparing decimal numbers harder than comparing multi-digit whole numbers?
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No, it is basically the same process where you line up the number places and compare digits starting from the left.
Why is it important to line up decimal points when comparing decimal numbers?
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Lining up the decimal points ensures that the number places are aligned correctly, which is crucial because decimals may have different numbers of decimal digits.
In the comparison of 3.015 and 2.49, which number has the greatest value?
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3.015 has the greatest value because it has a 3 in the ones place, which is greater than the 2 in the ones place of 2.49.
When comparing 0.5 and 0.34, which decimal is greater?
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0.5 is greater than 0.34 because it has a 5 in the tenths place, which is greater than the 3 in the tenths place of 0.34.
Does having more digits in decimal numbers automatically make them larger?
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No, more digits in decimal numbers do not automatically make them larger, as extra decimal digits represent smaller number places.
Which has a greater value: 0.1 or 0.099999?
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0.1 is greater than 0.099999, even though 0.099999 has more digits, because the extra digits are in smaller number places.
Why do extra digits in decimal numbers represent smaller places?
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Extra decimal digits are always to the right, which means they're in smaller number places, unlike extra digits in whole numbers, which make the number bigger.
In the comparison of 0.9, 0.999, and 0.99799, which is the largest and which is the smallest?
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0.999 is the largest and 0.9 is the smallest. 0.99799 is between them because its significant digits make it less than 0.999 but more than 0.9.
How do you compare decimal numbers that have the same digits in some places?
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Continue comparing the next smallest places (to the right) until you find different digits that allow you to determine which number is greater.
What happens to value as number places go further to the right in decimal numbers?
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The value becomes smaller as number places go further to the right because they represent parts of the whole that are increasingly smaller.
Is comparing decimal numbers harder than comparing multi-digit whole numbers?
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No, it is basically the same process where you line up the number places and compare digits starting from the left.