Aim: How can we represent really huge and really small numbers? Homework#1-9: Finish Worksheet Do Now: Fill in chart.

What is scientific notation? Scientific notation is a way of representing really small or really large numbers Who uses scientific notation? Mathematicians, engineers and scientists

Homework Review

Representing numbers in scientific notation Rule: Change the number to a number between 1 and 10 by moving the decimal. Then multiply that number by a power of 10 Format: __ • ____ x 10 ----

Scientific Notation Procedure: Move the decimal to make a number between 1 and 9. Count how many places you moved and multiply by that power of 10. 3. If the number (in standard form) is between zero and one, it has a negative exponent.

Scientific Notation Example 1 Write 75,800 in scientific notation.

Example # 2 Write .000346 in scientific notation.

Standard form to Scientific notation Places to the left (really big numbers): positive exponent Places to the right (really small numbers: negative exponent

~Interesting Facts~ https://www.youtube.com/watch?v=kHGpopA7o3c

Independent Practice 1) Write 2,220,000 in scientific notation. 2) Write 0.0000281 in scientific notation. 3) Write 0.0121 in scientific notation.

What if a number is in scientific notation, and we want to put it back in standard form?

Just reverse the process!

Scientific Notation to Standard Form To go from scientific notation to standard form: 1) Move the decimal the same number of spaces as the exponent. 2) Positive exponent: move to the RIGHT 3) Negative exponent: move to the LEFT

Scientific Notation to Standard Form Example 1 Write in 7. 50 x 𝟏𝟎 𝟑 standard form.

Write 6.43 x 𝟏𝟎 −𝟑 in standard form. Example 2 Write 6.43 x 𝟏𝟎 −𝟑 in standard form.

You Try! Write each number in standard notation. 6.17 × 10 3 6.17 × 10 3 5.4 × 10 −8 7 × 10 4

Which number is not written in scientific notation. Explain. [A] 6 Which number is not written in scientific notation? Explain. [A] 6.7 × 10 2 [B] 5.5555 × 10 −24 [C] 3 × 10 −10 [D] 13.5 × 10 4 [E] 2.3213 × 10 −2

How can we “fix a number that appears to be in scientific notation but is not?

Let’s fix it! So, choice d was not in scientific notation, but we can put it in scientific notation! [D] 13.5 × 10 4

You Try! Write each number in scientific notation 88.4 × 10 3 30 × 10 −8

Practice Time! On worksheet, do problems 1 – 15 (odd)

So today we learned how to… Put numbers in scientific notation Put numbers back into standard form “Fix” numbers that appear to be in scientific notation, but are not!

Extra practice! For 1-4 , write in scientific notation. 713,000 3. 0.000163 92,800 4. 0.0000000534 For 5-7, write each number in standard form. 5) 6.7 × 10 −3 8. 9.763 × 10 2 6) 7.311 × 10 6