Write the product 35/14x3/125 in scientific notation.
To write the product 35/14 * 3/125 in scientific notation, we will start by simplifying the fraction.
First, multiply the numerators together: 35 * 3 = 105.
Then, multiply the denominators together: 14 * 125 = 1750.
Now, we have the fraction 105/1750. To simplify this fraction further, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5.
Dividing 105 by 5 gives us 21, and dividing 1750 by 5 gives us 350.
So now we have the simplified fraction 21/350.
To convert this fraction to scientific notation, we need to express it as a number between 1 and 10, multiplied by a power of 10.
In this case, we can divide both the numerator and the denominator by 10 to simplify the fraction even further.
Dividing 21 by 10 gives 2.1, and dividing 350 by 10 gives 35.
So now we have the fraction 2.1/35.
To write this fraction in scientific notation, we can express it as 2.1 * 10^(-1) / 3.5 * 10^1.
Finally, multiplying these two terms, we get the product in scientific notation: 0.6 * 10^(-2).
Hence, the product 35/14 * 3/125 in scientific notation is 0.6 * 10^(-2).