How to Calculate Multiplication and Division of Decimals by Powers of Ten
In this step-by-step guide, you will learn how to multiply and divide decimals by powers of ten.
[include_netrun_products_block from-products="product/6-virginia-sol-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
A step-by-step guide to multiplication and division decimals by powers of ten
Whenever you want to multiply by the power of \(10\), move the decimal over to the right-hand side with the identical number of spaces as the number of zeros or as the exponent.
To multiply any whole number via \(10\), you must multiply the numbers and then put a \(0\) after the last digit in this number.
Whenever you want to divide via the power of \(10\), move its decimal toward the left-hand side of the identical number of spaces as the number of zeros or as the exponent.
To divide any multiple of \(10\) by \(10\), you must take out the last zero digit which is in one place from the number.
Multiplication and Division of Decimals by Powers of Ten – Example 1
Divide: \(7.7÷10=\)__?
Solution:
Step 1: Count the zeros in \(10\). There is \(1\) zero in \(10\).
Step 2: Move the decimal point \(1\) place to the left in \(7.7\). So, \(7.7→0.77\)
\(7.7÷10=0.77\)
Multiplication and Division of Decimals by Powers of Ten – Example 2
Multiply: \(100×0.436=\)__?
Solution:
Step 1: Count the zeros in \(100\). There are \(2\) zeros in \(100\).
Step 2: Move the decimal point \(2\) places to the right in \(0.436\). So, \(0.436→43.6\)
\(100×0.436=43.6\)
Exercises for Multiplication and Division of Decimals by Powers of Ten
Solve.
- \(\color{blue}{0.065 ÷ 10}\)
- \(\color{blue}{0.243 × 1000}\)
- \(\color{blue}{0.8954 × 100}\)
- \(\color{blue}{0.25 ÷ 100}\)
- \(\color{blue}{0.0065}\)
- \(\color{blue}{243}\)
- \(\color{blue}{89.54}\)
- \(\color{blue}{0.0025}\)
Related to This Article
More math articles
- Other Topics Puzzle – Challenge 97
- Top 10 3rd Grade FSA Math Practice Questions
- FREE 4th Grade MCAS Math Practice Test
- Algebra Puzzle – Critical Thinking 14
- Full-Length ALEKS Math Practice Test-Answers and Explanations
- The Ultimate 6th Grade MEA Math Course (+FREE Worksheets)
- Top 10 3rd Grade ACT Aspire Math Practice Questions
- How to Finding Mean, Median, Mode, and Range: Interpreting Charts
- 7 Best Headphones for Online Lessons
- How to Evaluate Credit Reports: Personal Financial Literacy
What people say about "How to Calculate Multiplication and Division of Decimals by Powers of Ten - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.