1 / 11

Adding and Subtracting Numbers in Scientific Notation

This guide covers the essential steps for adding and subtracting numbers in scientific notation. When the exponents are the same, simply add or subtract the decimal parts and maintain the exponent. If the exponents differ, adjust the decimals so they share the same exponent before proceeding with the calculation. Clear examples illustrate each process, ensuring you grasp how to manipulate numbers in scientific form effectively. Practice problems are included to reinforce your understanding and skill.

kasimir-harvey
Download Presentation

Adding and Subtracting Numbers in Scientific Notation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Adding and Subtracting Numbers in Scientific Notation January 2, 2014

  2. When adding or subtracting numbers in scientific notation, the exponents must be the same.

  3. Adding/Subtracting when Exponents are THE SAME Step 1 - add/subtract the decimal Step 2 – Bring down the given exponent on the 10

  4. Example 1 (2.56 X 103) + (6.964 X 103) Step 1 - Add: 2.56 + 6.964 = 9.524 Step 2 – Bring down exponent : 9.524x 103

  5. Example 2 (9.49 X 105) – (4.863 X 105) Step 1 - Subtract: 9.49 – 4.863 = 4.627 Step 2 – Bring down exponent: 4.627x 105

  6. Adding/Subtracting when the Exponents are DIFFERENT • When adding or subtracting numbers in scientific notation, the exponents must be the same. • If they are different, you must move the decimal so that they will have the same exponent.

  7. Moving the Decimal It does not matter which number you decide to move the decimal on, but remember that in the end both numbers have to have the same exponent on the 10.

  8. Adding/Subtracting when the Exponents are DIFFERENT Step 1 – Rewrite so the exponents are the same Step 2 - add/subtract the decimal Step 3 – Bring down the given exponent on the 10

  9. Example 3 (2.46 X 106)+ (3.4 X 103) Step 1 – Rewrite with the same exponents 3.4 X 103  0.0034 X 103+3 New Problem: (2.46 X 106)+ (0.0034 X 106) Step 2 – Add decimals 2.46 + 0.0034 = 2.4634 Step 3 – Bring Down Exponents 2.4634 X 106

  10. Example 4 (5.762 X 103)– (2.65 X 10-1) Step 1 – Rewrite with the same exponents 2.65 X 10-1  0.000265 X 10(-1+4) New Problem : (5.762 X 103) – (0.000265 X 103) Step 2 – Subtract Decimals 5.762 – 0.000265 = 5.762 Step 3 – Bring down decimals 5.762X 103

  11. Practice • (3.45 x 103) + (6.11 x 103) • (4.23 x 103) – (9.56 x 102) • (4.12 x 106) + (3.94 x 104) • (8.96 x 107) – (3.41 x 107)

More Related