Years
>
Year 8>
Scientific Notation>
Multiplying and Dividing in Scientific Notation>
Multiplying and Dividing in Scientific NotationMultiplying and Dividing in Scientific Notation
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- Answered
- Review
-
Question 1 of 5
1. Question
Multiply`(4.0xx 10^5)(3.2xx10^(-3))`Provide your answer in numerical notation- (1280)
Hint
Help VideoCorrect
Well Done!
Incorrect
Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: `a xx 10^n`.Multiply the numbers first and then the exponents of `10` separately.`(``4.0``xx`` 10^5``)(``3.2``xx``10^(-3)``)``4.0``xx` `3.2``=``12.8` `(10^5)``xx` `(10^(-3))``=``10^2` Multiplication property of exponents Combine the obtained values and simplify.`12.8`` xx`` 10^2` `=` `1.28xx 10^3` Move the decimal point one place to the left `=` `1280` Express in numerical notation `1280` -
Question 2 of 5
2. Question
Divide`(3.5xx 10^(-7))/(7.0xx10^5)`Hint
Help VideoCorrect
Nice Job!
Incorrect
Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: `a xx 10^n`.Divide the numbers first and then the exponents of `10` separately.$$\frac{\color\green{3.5} \times \color{#004ec4}{10^{-7}}}{\color\green{7.0} \times \color{#004ec4}{10^5}}$$`3.5/7.0``=``0.5` `(10^(-7))/(10^5)``=``10^(-7-5)``=``10^(-12)` Division property of exponents Combine the obtained values and simplify.`0.5`` xx`` 10^(-12)` `=` `5xx 10^(-13)` Move the decimal point one place to the right `5 xx 10^(-13)` -
Question 3 of 5
3. Question
Divide`((7.5xx 10^(-4))(3.2 xx 10^5))/(3.75xx10^9)`Provide your answer in numerical notation- (0.000000064)
Hint
Help VideoCorrect
Excellent!
Incorrect
Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: `a xx 10^n`.Multiply and divide the numbers first and then the exponents of `10` separately.$$\frac{(\color\green{7.5} \times \color{#004ec4}{10^{-4}})(\color\green{3.2} \times \color{#004ec4}{10^5})}{\color\green{3.75} \times \color{#004ec4}{10^9}}$$`(7.5xx3.2)/3.75``=``6.4` `((10^(-4))xx10^5)/(10^9)``=``(10^(-4+5))/(10^9)``=``(10^1)/(10^9)``=``10^(-8)` Multiplication and Division property of exponents Combine the obtained values and simplify.`6.4`` xx`` 10^(-8)` `=` `0.000000064` Express in numerical notation `0.000000064` -
Question 4 of 5
4. Question
Multiply`0.0064 xx 0.0000071`Hint
Help VideoCorrect
Fantastic!
Incorrect
Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: `a xx 10^n`.Convert the numbers into scientific notation.`0.0064` `=` `6.4 xx 10^(-3)` Move the decimal point `3` places to the right `0.0000071` `=` `7.1 xx 10^(-6)` Move the decimal point `6` places to the right Multiply the numbers first and then the exponents of `10` separately.`(``6.4``xx`` 10^(-3)``)(``7.1``xx``10^(-6)``)``6.4``xx` `7.1``=``45.44` `(10^(-3))``xx` `(10^(-6))``=``10^(-9)` Multiplication property of exponents Combine the obtained values and simplify.`45.44`` xx`` 10^(-9)` `=` `4.544 xx 10^(-8)` Move the decimal point one place to the left `4.544 xx 10^(-8)` -
Question 5 of 5
5. Question
Multiply`0.032 xx 580000`Hint
Help VideoCorrect
Exceptional!
Incorrect
Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: `a xx 10^n`.Convert the numbers into scientific notation.`0.032` `=` `3.2 xx 10^(-2)` Move the decimal point `2` places to the right `580000` `=` `5.8 xx 10^5` Move the decimal point `5` places to the left Multiply the numbers first and then the exponents of `10` separately.`(``3.2``xx`` 10^(-2)``)(``5.8``xx``10^5``)``3.2``xx` `5.8``=``18.56` `(10^(-2))``xx` `(10^5)``=``10^3` Multiplication property of exponents Combine the obtained values and simplify.`18.56`` xx`` 10^3` `=` `1.856 xx 10^4` Move the decimal point one place to the left `1.856 xx 10^4`