I have a few scientific notation problems I need help with?

Mathematics
Tutor: None Selected Time limit: 1 Day

1.) Calculate 5.91 x 10^3 times 2.3 x 10^8 by using scientific notation and the product rule.

2.) Calculate 8.51 x 10^8 divided by 4.7 x 10^3 by using scientific notation and the quotient rule.

3.) Calculate 6.9×108 divided by 7.3×107 by using scientific notation and the quotient rule. 

4.) Calculate 5.26×103 times 7.73×105 by using scientific notation and the product rule. 

5.) Calculate 4.74×1010 divided by 9.55×105 by using scientific notation and the quotient rule.

Aug 30th, 2015

Thank you for the opportunity to help you with your question!

product rule

x^a *x^b= x^(a+b)

x^a/ x^b=x^(a-b)

1.) Calculate 5.91 x 10^3 times 2.3 x 10^8 by using scientific notation and the product rule.

= 5.91*2.3*10^3*10^8

=13.591*10^(3+8)

=13.591*10^11

=1.3591*10^12

2.) Calculate 8.51 x 10^8 divided by 4.7 x 10^3 by using scientific notation and the quotient rule.

=8.51/4.7 *(10^8/10^3)

=1.8106*10^(8-3)

=1.8106*10^5

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 30th, 2015

1.) Calculate 5.26 x 10^3 times 7.73 x 10^5 by using scientific notation and the product rule

=5.53 *7.73 *10^3*10^5

=42.75*10^(3+5)

=42.75 *10^8

=4.275*10^9

. 2.) Calculate 4.74 x 10^10 divided by 9.55 x 10^5 by using scientific notation and the quotient rule.

=4.74/9.55  * 10^10/10^5

=0.4963*10^(10-5)

=0.4963*10^5

=4.963*10^4


Aug 30th, 2015

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