Find 6.3x10^-5/9x10^-3 in scientific notation.
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Answer:
-7 × 10
Step-by-step explanation:
Explanation:
6.3
×
10
5
is the same value as
63
×
10
4
So we have:
63
×
10
4
9
×
10
3
ddd
→
ddd
63
9
×
10
4
10
3
ddddddddd.d
→
ddd
63
9
×
10
If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3
→
6
+
3
=
9
so we will divide both top and bottom by 3 to simplify the fraction.
ddddddddd.d
→
ddd
63
÷
3
9
÷
3
×
10
Note that:
63
÷
3
9
÷
3
=
21
÷
3
3
÷
3
=
7
1
=
7
so we have:
(
6.3
×
10
5
)
÷
(
9
×
10
3
)
=
7.0
×
10
Negative version works the same exact way but with a negative sign