Question
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Tutor-Verified Answer
Answer
The correct answers are (A)
and (D)
.
Solution
-
To evaluate
: - We compute
. - Since
, we find - Thus, the statement
is correct, which corresponds to option (A).
- We compute
-
Next, consider the statement
: - Calculate
as before, which gives , not . - Therefore, option (B) is incorrect.
- Calculate
-
Now, to evaluate
: - We compute
. - Since
, it follows that - Thus, the statement
is correct, which corresponds to option (D).
- We compute
-
Finally, the statement
: - This result is incorrect because, as shown above,
, not . - So, option © is incorrect.
- This result is incorrect because, as shown above,
The correct options are (A) and (D).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
If we take a quick dive into division,
actually equals
! So if you picked option (A), you’re right on track! This can easily be verified by multiplying
by
and getting
again. Understanding the basics of fractions and decimals helps make these calculations effortless and fun!
Now, let’s not forget about the second part of the puzzle,
. If we break it down nicely, you’ll find that it equals
. Thus, option (D) is another correct choice! To really grasp this, think of it as splitting something into equal quarters—it can highlight how division distributes values evenly, making math feel like a piece of cake!