Adding and Subtracting in Scientific Notation

​Adding and Subtracting Scientific Notation

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.

I remember how to correct improper scientific notation

I understand that if I'm adding and subtracting scientific notations, I must get common powers FIRST

then add or subtract leading numbers and keep the power.​

​Adding/Subtracting Scientific Notation

OUTCOMES:​

Multiple Choice

Which expression is NOT correctly written in scientific notation?

• $$5.62\times10^{-7}$$  

• $$9.8\times10^4$$  

• $$39.39\times10^3$$  

• $$7.77\times10^7$$  

Multiple Choice

Which of the following is correct scientific notation?

• 20.35 x 10⁴

• .2035 x 10⁴

• 2035 ⁴

• 2.035 x10⁴

Multiple Choice

Give the sum in scientific notation.

(2.6 x 10⁶) + (4.2 x 10⁶)

• 6.8 x 10⁶

• 6.8 x 10¹²

• 8.4 x 10⁶

• 3.2 x 10¹²

Multiple Choice

(8 x 10⁴) - (2 x 10⁴)

• 16 x 10¹⁶

• 16 x 10⁸

• 6 x 10⁸

• 6 x 10⁴

Multiple Choice

Give the sum in scientific notation.

(4.8 x 10⁸) + (5.4 x 10⁸)

• 1.02 x 10⁸

• 1.02 x 10⁹

• 10.2 x 10⁸

• 10.2 x $$10^9$$  

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

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

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

Poll

How do you feel about Adding & Subtracting using Scientific Notation

​CLOSURE:

• I can add and subtract in Scientific Notation​