8th Grade Math Scientific Notation Unit Test

<p> What is `5.25 × 10^6` written in standard form?</p>

<p> What is `7 × 10^-5` written in standard form?</p>

<p>A honey bee hive can have as many as `70text(,)000` bees living together in a colony.</p> <p> What is this number written in scientific notation?<br><highlight data-color="#666" data-style="italic">Round the coefficient to the nearest thousandths, if necessary.</highlight></p>

<p>The temperature at the core of the Sun is approximately `15` million degrees Celsius. </p><p>What is this number in scientific notation?<br><highlight data-color="#666" data-style="italic">Round the coefficient to the nearest thousandths, if necessary.</highlight></p>

<p>In the United States today there are approximately `2.88 times 10^9` pennies in circulation. </p><p>What is this number written in standard form?</p>

<p>The age of the Earth is estimated to be `4.6 times 10^9` years old. </p><p>What is this number written in standard form?</p>

<p>An electronics store sold `6 times 10^3` wireless bluetooth earbuds last year. </p><p>What is this number written in standard form?</p>

<p> Subtract. Write your answer in scientific notation. </p> <p>`6.75 × 10^4 - 5.2 × 10^4` </p><i><p style="color:#808080"> Round the coefficient to nearest thousandth, if necessary.</i> </p>

<p> Add. Write your answer in scientific notation. </p> <p>`2.9 × 10^4 + 3,478` </p><i><p style="color:#808080"> Round the coefficient to nearest thousandth, if necessary.</i> </p>

<p>What is `5.32 × 10^5` multiplied by `1.81 × 10^7`?</p><i><p style="color:#808080"> Write your answer in scientific notation.</i> </p><i><p style="color:#808080"> Round the coefficient to nearest thousandth, if necessary.</i> </p>

<p>What is `6.7 × 10^-4` multiplied by `3.51 × 10^6`?</p><i><p style="color:#808080"> Write your answer in scientific notation.</i> </p><i><p style="color:#808080"> Round the coefficient to nearest thousandth, if necessary.</i> </p>

<p>Ross is solving a problem using a calculator, and his calculator shows `6.5 times 10^{-5}` as the final answer. His friend David is also solving the same problem, and his calculator displays `4.9 times 10^{-5}` as the final answer. </p><p>What is the difference between their final answers?<br><highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight></p>

<p>Saturn is `1text(,)427text(,)034text(,)000` km from the Sun. Venus is `1.08 times 10^8` km from the Sun.</p><p>How much farther is Saturn from the Sun than Venus?<br><highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight></p>

<p>The mass of an electron is about `9.05times 10^-28` grams. </p><p>If there are `3.3times 10^22` electrons in `1` ml of water, what is the total weight of the electrons in `1` ml of water? <br><highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight></p>

<p>There are `5.9times 10^20` copper atoms in a penny. </p><p>The bank has `25text{,}000` pennies in the vault. How many copper atoms are in all of the pennies at the bank? <br><highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight></p>