<h2>Teaching Multiplying and dividing in scientific notation (word problems) easily:</h2>&nbsp;Multiplying and dividing numbers expressed as scientific notation includes a few easy steps. However, it is different from standard multiplication and division.&nbsp;Steps to multiply scientific notation: &nbsp;In this, coefficient and exponential parts are solved separately.&nbsp; &nbsp;<ol><li>First, we need to multiply the coefficients, whether integer or decimal.&nbsp;</li><li>After this, we need to multiply the exponential parts (keeping the base 10 and adding its powers).</li><li>Lastly, merge the solution with the multiplication sign and simplify them. &nbsp;</li></ol><h3>Steps to multiply scientific notation:</h3>Like multiplication, the division also requires solving coefficient and exponential parts separately.&nbsp;<ol><li>First, we need to divide the coefficients, whether integer or decimal.&nbsp;</li><li>Post this, we need to divide the exponential parts (keeping the base 10 and subtracting its powers).</li><li>Lastly, merge the solution with the multiplication sign and simplify them.</li></ol> &nbsp;Q. A tailor stitches 3×10⁴ trousers in one day; how many trousers will he stitch in 5×10² days?Solution: The trousers the tailor can stitch in&nbsp; 5×10² days = 5×10² *&nbsp; 3×10⁴ = 15 x 106.&nbsp;<h2>Why Should you use Multiplying and dividing in scientific notation (word problems) worksheets for your students?</h2>&nbsp;By solving problems from this scientific notation multiplication and division worksheet, students can easily enhance their skills in applying these operations to scientific notation.It will help them to derive solutions to practical problems having extremely large or small numbers.&nbsp;&nbsp;Download this class 8 multiplying and dividing in scientific notation (word problems) Worksheets PDF for your students. You can also try our <a href="https://www.bytelearn.com/math-grade-8/practice-problems/multiply-and-divide-in-scientific-notationmultiply-and-divide-in-scientific-notation-word-problems">Multiply And Divide In Scientific Notation (Word Problems) Problems</a> and <a href="https://www.bytelearn.com/math-grade-8/quiz/multiply-and-divide-in-scientific-notation-word-problems">Multiply And Divide In Scientific Notation (Word Problems) Quiz</a> as well for a better understanding of the concepts.

Multiply and divide in scientific notation (word problems)

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Writing <a href="https://www.bytelearn.com/math-topics/scientific-notation" target="_blank" class="backlink">scientific notation</a> is a straightforward method to express extremely large or small figures. Like standard or decimal formats, we can apply mathematical operations to numbers expressed as scientific notation. A multiplying and dividing scientific notation worksheet easily teaches students to apply these operations to scientific notations.&nbsp;

<h2>Important points of the scientific notation</h2>&nbsp;The base should always be 10.The exponent must be a non-zero integer, which means it can be either positive or negative.The absolute value of the coefficient is greater than or equal to 1 but it should be less than 10.Coefficients can be positive or negative numbers including whole and decimal numbers.The mantissa carries the rest of the significant digits of the number.When the scientific notation of any large numbers is expressed, then we use positive exponents for base 10.When the scientific notation of any small numbers is expressed, then we use negative exponents for base 10.Scientific Notation ExampleScientific notation problems&nbsp;include questions like below given examples.1.&nbsp; &nbsp;&nbsp;Convert 0.00000046 into scientific notation.Ø&nbsp; Move the decimal point to the right of 0.00000046 up to 7 places.Ø&nbsp; The decimal point was moved 7 places to the right to form the number 4.6.Ø&nbsp; Since the numbers are less than 10 and the decimal is moved to the right. Hence, we use a negative exponent here.Ø&nbsp; ⇒ 0.00000046 = 4.6 × 10-72.&nbsp; &nbsp;&nbsp;Convert 301000000 into scientific notation.Ø&nbsp; Move the decimal to the left 8 places so it is positioned to the right of the leftmost non-zero digit 3.01000000.Ø&nbsp; Remove all the zeroes and multiply the number by 10.Ø&nbsp; Now the number has become = 3.01.&nbsp;Teachers are looking for lessons, activities, worksheets, quiz, mock test papers that are suitable for 8th grade math. Here's your compilation of lessons suitable for 8th grade to share with your students.<figure class="table" style="float:left;"><table><tbody><tr><td style="border:0.9999975pt solid #000000;padding:5pt;vertical-align:top;">Scientific Notation worksheets</td></tr><tr><td style="border:0.9999975pt solid #000000;padding:5pt;vertical-align:top;">Scientific Notation Practice Problems</td></tr><tr><td style="border:0.9999975pt solid #000000;padding:5pt;vertical-align:top;">Scientific Notation Quiz</td></tr><tr><td style="border:0.9999975pt solid #000000;padding:5pt;vertical-align:top;">Scientific Notation Unit Test</td></tr></tbody></table></figure>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<h2>Sum Up</h2>&nbsp;The primary reason why scientific notation is important is that it allows us to convert very large or very small numbers into much more manageable sizes. When these numbers are in scientific notation, it is much easier to work with them. &nbsp;

<h2 style="text-align:justify;">8th Grade Course Summary&nbsp;</h2>&nbsp;In 8th grade math, students are introduced to high-value concepts and expand their knowledge of operations and execution of these concepts. Here is a brief overview of the 8th Grade Math Course:&nbsp;&nbsp;<h2><a href="https://www.bytelearn.com/math-grade-8/Exponents">Exponents</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/linear-relationships-and-functions">Linear Relationships And Functions</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/Scientific-Notation">Scientific Notation</a></h2>&nbsp;

grade 8

The 8th-grade math curriculum has been designed to help students advance mathematically, particularly in the areas of algebraic equations. They focus on three core areas; reasoning and formulating, describing and deriving relationships, and analyzing two and three-dimensional figures.&nbsp; &nbsp;Students are also taught to expand their understanding of proportional relationships. They also learn the importance of solutions and application to single linear equations. They work on various models with bivariate data and learn to make the necessary predictions. Functions open a new arena for them to learn high-value functions in high school. They continue by studying with measurement and movement of figures, lines, and angles with two and three-dimensional figures.&nbsp;

Scientific Notation

Scientific notation math is a form of presenting very large numbers or very small numbers in a simpler form. As we know, whole numbers can be extended to infinity, but we cannot write such huge numbers on a piece of paper. Also, the numbers which are present at the millions place after the decimal needed to be represented in a simpler form. Thus, it is difficult to represent a few numbers in their expanded form. Hence, we use scientific notations.

They will also learn how to apply the concept of scientific notation to solve practical problems, such as measuring distances in space or working with very large or very small numbers. The lesson includes interactive activities and opportunities for student collaboration, and assessments to ensure mastery of the concept. By the end of this lesson, students will have a solid foundation in scientific notation that they can build upon in future math classes.

8th Grade Math Scientific Notation Lesson Plan

This 8th grade math scientific notation lesson plan aligns with the Common Core State Standards for Mathematics. Students will learn about the concept of scientific notation and how to convert numbers into scientific notation and vice versa. The lesson begins with an introduction to basic scientific notation vocabulary, such as exponent, base, and order of magnitude. Students will then explore how to perform operations with numbers in scientific notation, such as multiplication, division, addition, and subtraction.&nbsp;

Teachers can share these practice problems in class to enhance students' understanding.

Scientific notation means presenting very large numbers or very small numbers in a simpler form. To multiply numbers in scientific notation you should multiply the decimal number. The primary reason why students should solve the scientific notation practice problems is to enhance their understanding of this concept. They can easily assess whether they have robust knowledge of Scientific notation.&nbsp; &nbsp;

Teachers can use this scientific notation quiz to determine students’ knowledge.

Scientific notation is the way to represent the number in a very simple way. Some numbers are so large that they cannot be written on a page like that so it is written using scientific notation. If the value is very small then exponents will be negative and if the value is very large then exponents will be positive. The scientific notation quiz can be the best way to analyse students’ understanding of the scientific notations, their conversions, and uses in solving mathematical problems. &nbsp;

<h2>Teaching Scientific Notation easily.</h2>&nbsp;When the scientific notation of any large numbers is expressed, then we use positive exponents for base 10.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;When the scientific notation of any small numbers is expressed, then we use negative exponents for base 10.&nbsp;Convert 0.00000046 into scientific notation:&nbsp;<ul><li>Move the decimal point to the right of 0.00000046 up to 7 places.</li><li>The decimal point was moved 7 places to the right to form the number 4.6.</li><li>Since the numbers are less than 10 and the decimal is moved to the right. Hence, we use a negative exponent here.&nbsp;&nbsp;</li></ul>⇒ 0.00000046 = 4.6 × 10-7Why Should you use scientific notation worksheets for your students?<ul><li>Solving scientific notation worksheets allows students to understand conversion of very large or very small numbers into much more manageable sizes.</li><li>It helps the students in solving math problems comprising small or large numbers.</li></ul> &nbsp;Download this scientific notation Worksheet PDF for your students’ ease of learning math.

Scientific notation math&nbsp;is a form of presenting very large numbers or very small numbers in a simpler form. As we know, whole numbers can be extended to infinity, but we cannot write such huge numbers on a piece of paper. Also, the numbers which are present at the millions place after the decimal needed to be represented in a simpler form. Thus, it is difficult to represent a few numbers in their expanded form. Hence, we use scientific notations. Solving scientific notation worksheets helps the students in solving math problems comprising small or large numbers.

A new baby has about `3times 10^10` cells in its body. A adult has about `1.5times 10^3` times as many cells in their body as a newborn. About how many cells does an adult have in their body? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

Math

The area of Rhode Island is `1.2times 10^3` square miles. Alaska is `4.9times 10^2` times larger than Rhode Island. What is the area of Alaska? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

A small kiddie pool holds `1.5times 10^2` gallons of water. An olympic sized swimming pool holds `4.4times 10^3` times as much water as a kiddie pool.How many gallons of water are in an olympic-sized swimming pool? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

The mass of an electron is about `9.05times 10^-28` grams. 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? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

During its first year of operation, a manufacturing company produced `8.4times 10^8` erasers. During the second year, the company produced `3.5` times the number of erasers that it produced during the first year. How many erasers did the company produce in its second year of operation? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

A single bacterium weighs approximately `1.2times 10^-12` grams. According to research, a person's cell phone has approximately `25text{,}100` bacteria per square inch. How much would the bacteria on `1` square inch of a person's phone weigh? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

Multiply And Divide In Scientific Notation (Word Problems) Worksheets

Teaching Multiplying and dividing in scientific notation (word problems) easily:

Steps to multiply scientific notation:

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