3. To find how many times larger the population of California is compared to Rhode Island, we divide the population of California by the population of Rhode Island:
4 × 10^7 / 1 × 10^6 = 4 × 10^(7-6) = 4 × 10^1 = 40
So, the population of California is 40 times larger than the population of Rhode Island.
4. Pablo's mistake was that he didn't properly divide the numbers in scientific notation. He simply divided the coefficients (6/2) and subtracted the exponents (8-(-4)), which is not the correct way to divide numbers in scientific notation.
The correct solution involves dividing the coefficients and subtracting the exponents correctly:
(6 x 10^8) / (2 x 10^-4) = (6/2) x 10^(8-(-4)) = 3 x 10^(8+4) = 3 x 10^12
So, the correct answer is 3 x 10^12.
5. A division problem where the quotient is 5 x 10^-5 could be:
(1 x 10^-3) / (2 x 10^-8) = 5 x 10^-5
This is because (1/2) x 10^(-3-(-8)) = 0.5 x 10^5 = 5 x 10^-5
3. In 2010, there were about 4 × 10^7 people living in California and about 1 × 10^6 people living in Rhode Island.
How many times larger was the population of California than the population of Rhode Island?
4. Pablo divided (6 x 10^8) by (2 x 10^-4), and got a final answer of 3 x 10^-2. Explain what mistake Pablo made, and give the correct solution.
5. Write a division problem in which two numbers written in scientific notation have a quotient of 5 x 10^-5.
1 answer