Question
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Tutor-Verified Answer
Answer
- (a)
- (b)
- ©
Solution
Let’s compare each pair of numbers using
,
, or
:
(a) Compare
and
Explanation:
When comparing decimal numbers, start from the left:
When comparing decimal numbers, start from the left:
- Both have
in the units place. - The tenths place:
vs. (they are equal). - The hundredths place:
vs. . Since , .
(b) Compare
and
Explanation:
Adding a zero to the end of a decimal does not change its value. Thus, is equal to
.
Adding a zero to the end of a decimal does not change its value. Thus,
© Compare
and
Explanation:
Convert both numbers to the same number of decimal places for easier comparison:
Convert both numbers to the same number of decimal places for easier comparison:
-
is equivalent to . -
is equivalent to .
Comparing digit by digit:
- Hundredths place:
vs. . However, since is less than , .
Summary of Comparisons:
- (a)
- (b)
- ©
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Extra Insights
For the comparisons:
(a)
(b)
©
(b)
©
So, the final comparisons would be: