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The sum of 3.0478 and 4.92 is , which have 5 significant digits.
<u>Step-by-step explanation:</u>
We have , and
. The significant digits of a number are digits that includes all digits except:
- All leading zeros. For example, "013" has two significant figures: 1 and 3;
- Trailing zeros when they are merely placeholders to indicate the scale of the number and ,
- Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.
Here and with significant digit rules
. Now, Sum of both numbers =
⇒Sum of both numbers =
⇒Sum of both numbers =
∴ The sum of 3.0478 and 4.92 is , which have 5 significant digits.
(treat
as one element of
)
The power set of is
1. is true because both
and
.
2. is true.
3. is true (same reason as part 1).
4. is false because
does not contain the set
, rather just the element
itself.
5. is false because the element
on its own simply is not in
. That
does not mean
, but that
belongs to a subset of
.
6. is true.