Glencoe Math: Course 3, Volume 1
GM
Glencoe Math: Course 3, Volume 1 View details
3. Multiply and Divide Monomials
Continue to next subchapter

Exercise 13 Page 28

Practice makes perfect

We are given the following table.

Power of Ten U.S. Name
10^3 one thousand
10^6 one million
10^9 one billion
10^(12) one trillion
10^(15) one quadrillion
10^(18) one quintillion
We want to find how many times one quadrillion is greater than one million. To do so, we will divide one quadrillion by one million.

one quadrillion/one million Using the given table, we can write these numbers as powers of 10. Let's mark these numbers in the table!

Power of Ten U.S. Name
10^3 one thousand
10^6 one million
10^9 one billion
10^(12) one trillion
10^(15) one quadrillion
10^(18) one quintillion
We can rewrite our expression using the table. one quadrillion/one million=10^(15)/10^6 Now we will simplify the obtained expression by using the Laws of Exponents. In this case, we will use the Quotient of Powers Law. This law states that to divide powers with the same base, we need to subtract their exponents. Let's do it!
10^(15)/10^6
10^(15-6)
10^9
1 000 000 000
Therefore, one quadrillion is 10^9 or 1 000 000 000 greater than one million.
We want to find as what number one quintillion is one trillion times as great. To do so, we will divide one quintillion by one trillion. one quintillion/one trillion Using the given table, we can write these numbers as powers of 10. Let's mark these numbers in the table!
Power of Ten U.S. Name
10^3 one thousand
10^6 one million
10^9 one billion
10^(12) one trillion
10^(15) one quadrillion
10^(18) one quintillion
We can rewrite our expression using the table. one quintillion/one trillion=10^(18)/10^(12) Now we will simplify the obtained expression by using the Laws of Exponents. In this case, we will use the Quotient of Powers Law. This law states that to divide powers with the same base, we need to subtract their exponents. Let's do it!
10^(18)/10^(12)
10^(18-12)
10^6
1 000 000
Therefore, one quintillion is one trillion times as great as 10^6, or 1 000 000.