Question

Find 6.3x10^-5/9x10^-3 in scientific notation.

Answer 1

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