Scientific Notation Addition and Subtraction

Adding & Subtracting Scientific Notation Lesson

By the end of the lesson, you will know how to add and subtract numbers written in scientific notation, with and without common exponents.

​Adding & Subtracting Scientific Notation

• ​Watch the video

• ​Record the examples on your guided notes page as you watch

• ​Ask questions if you don't understand!!

​Adding Scientific Notation with Standard Form

• ​Sometimes, you will add scientific notation with a number written in standard form.

• ​You have the option of rewriting the standard form number in scientific notation with the same exponent, or you have the option of writing the scientific notation number in standard form. It is your choice.

• ​Record the example on the right in your notes. Try the problem at the bottom.

Multiple Choice

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

• That the exponents are different

• That the constants are the same

• That the exponents are the same

• That both constants are positive

Multiple Choice

When adding and subtracting in scientific notation, what do you do with the constants?

• Make them the same

• Add/subtract them

• Keep them

• Multiply/divide them

Multiple Select

You need three things for a number to be in proper scientific notation. Must name all three, but do not answer more than three.

Which three are they???

• must be in base 10

• the number left of the decimal must be between 1 and 9 (including 1&9)

• must have a ninja one

• must have an exponent

• the number left of the decimal must be negative

Multiple Choice

Which of the following is correct scientific notation?

• 20.35 x 10⁴
• .2035 x 10⁴
• 2035 ⁴
• 2.035 x10⁴

Multiple Choice

$$\left(2.0\times10^5\right)\ +\ \left(2.0\times10^4\right)\ =?$$  

• $$4.0\ \times\ 10^2$$   

• $$2.0\ \times10^1$$  

• $$2.2\times10^4$$  

• $$2.2\times10^5$$  

Multiple Choice

(8 x 10⁴) - (2 x 10⁴)

• 16 x 10¹⁶

• 16 x 10⁸

• 6 x 10⁸

• 6 x 10⁴

Multiple Choice

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles? 

• 4.3092 x 10¹
• 3.9098 x 10⁷
• 3.9098 x 10⁸
• 5.7678 x 10⁸

Poll

How do you feel about Adding & Subtracting Fractions?