Answer
a. $7.6 \times 10^5$
b. $3.5 \times 10^{-4}$
Work Step by Step
a. So to convert 760,000 to scientific notation, you must first observe ho many digits are present. There are 6 digits 760,000 and to identify the exponent of the base 10, you must subtract 1 from 6 because 1 denotes the first digit that the base 10 will be multiploed to.
$6 - 1 = 5$
and $5$ will be the exponent of the base $10$ making it $10^5$
Now we must use the digits from $760,000$ that are not zeroes, which are $76$,
and move its decimal point one place to the left making it $7.6$
Then we multiply $7.6$ and $10^5$ together to make it in scientific notation
$7.6 \times 10^5$
b. So to convert 0.00035 into scientific notation, we must move the decimal point of the number to the right by $4$ places to make the number $3.5$
Since we moved the decimal point to the right that makes our exponent for the base 10 a negative exponent. And since we moved $4$ places to the right, the exponent would be $-4$ making it $10^{-4}$
Now, we multiply $3.5$ and $10^{-4}$ together.
The scientific notation of 0.00035 is $3.5 \times 10^{-4}$
