Basic Math: Expressions & Equations
Name: ____TEACHER COPY _____________
CCSS.Math.Content.8.EE.A.3
Date: ______________________ Period: ____
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or
very small quantities, and to express how many times as much one is than the other.
Hook:
Students will watch the video Size Comparison of the Universe 2015 at
https://www.youtube.com/watch?v=4S69zZwYrx0
This is a great video because it shows objects next to their size written in scientific notation.
On the board, write the names of nine images from the video. Have students watch for these in the video
and write down their values in scientific notation. Compare on the board after the video is done.
Quantum Foam ------ Hydrogen Atom ------ Snow Leopard ------ Mt. Everest ------ The Moon -----Jupiter ------ Betelgeuse ------ Cartwheel Galaxy ------The Observable Universe
Guided Practice:
Show the introductory video on scientific notation from PlanetNutshell at
https://www.youtube.com/watch?v=DXTuYjPDjqQ
Independent Practice: With a partner, try the problems on the last page below. Review as a class.
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Discussion:
1. For very small numbers, is the value of the exponent in scientific notation positive or negative?
2. For very large numbers, is the value of the exponent in scientific notation positive or negative?
3. How can you use what you know about exponents to multiply two numbers in scientific notation?
4. Estimate how tall you are in inches. Show this number in scientific notation, rounded to the ones place.
5. Suppose you have a very small number like 3 x 10-4 and a very large number like 2 x 105. Can you express
how many times as much one is than the other?
Bonus:
Some students may really enjoy the universe video. Here is a second video that doesn't contain actual values
but may be of interest to these students. https://www.youtube.com/watch?v=1Eh5BpSnBBw
Image credit: NASA/JPL-Caltech https://www.flickr.com/photos/gsfc/13388930593/in/photolist-mp8LAV8DD7ta-5i6ydB-5ZaXAe-6jAqZw-pNjiZ5-dPLCg-ahWMr5-rKS2xo-a3pj24-7YEU25-r3ccU1-22TQnj-4zqfhd63prcH-q6zdAW-5XFNqU-4medJs-2VbYfs-GdSZv-mEKU4-93vYNt-7Unrio-73BJ66-93vUfi-coN2gs-cuDBT3aEo7zr-3UmFNV-4zb6t6-bwwj8-5cRGwo-bD5wn-ffJqQT-7tW4bb-dRiJQ-4EN7Un-zqBGu-4rHsAE-RdRW36Hh8rk-eejUTR-3MYX87-58tnBB-a3pc2t-sFY6g-e1TRU-bVfZWG-4BhJc8-bVfZWq
Licensed under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
All Rights Reserved by NewMathTeacher.Net
Basic Math: Expressions & Equations
Name: _________________________________
CCSS.Math.Content.8.EE.A.3
Date: ______________________ Period: ____
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or
very small quantities, and to express how many times as much one is than the other.
Independent Practice:
Rewrite using scientific notation.
31) 240,000,000
32) 0.00456
Rewrite in standard form.
33) 4.56 x 10-4
34) 5.07 x 103
Evaluate the expression. Write the answer in scientific notation.
35) (5.7 x 102) x (7.2 x 105)
36) (5 x 104) x (4.8 x 10-4)
37) 9 x 10-3
3 x 10-5
38) 2.4 x 108
6 x 103
Discussion:
1. For very small numbers, is the value of the exponent in scientific notation positive or negative?
2. For very large numbers, is the value of the exponent in scientific notation positive or negative?
3. How can you use what you know about exponents to multiply two numbers in scientific notation?
4. Estimate how tall you are in inches. Show this number in scientific notation, rounded to the ones place.
5. Suppose you have a very small number like 3 x 10-4 and a very large number like 2 x 105. Can you express
how many times as much one is than the other?
Licensed under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
All Rights Reserved by NewMathTeacher.Net