Scientific Notation Real World - MA.8.NSO.1.6

​I can Solve real-world problems involving operations with numbers expressed in scientific notation

Multiple Choice

Recall:

(2.8 x 10⁸)+(5.4 x 10⁹)

• 5.68 x 10⁹
• 5.69 x 10⁹
• 5.67 x 10⁹
• 5.70 x 10⁹

​1. Look for key words.
how many times = divide
difference = subtract
sum or total = add
per = multiply

2. Adding or subtracting in scientific notation the exponents have to be the same. Move the decimal and change the exponent to one of the terms if necessary.

3. Multiplying in scientific notation - multiply the first factor and add the exponents.

4. Dividing in scientific notation - divide the first factors and subtract the exponents.

5. For answers, make sure the first factor is between 1 and less than 10.

Multiple Choice

I Do:

The mass of he sun is 1 x 10³⁰ kilograms. The mass of the earth is 5 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

• 2 x 10⁵

• 5 x 10⁶

• 4 x 10³⁰

• 2 x 10⁶

Multiple Choice

We Do:

The population of China is 1.3 x 10⁹ and the population of the world is 6.4 x 10⁹. What is the difference between the population of the entire world and the population of China?

• 7.7 x 10¹⁸

• 7.7 x 10⁹

• 5.1 x 10¹⁸

• 5.1 x 10⁹

Multiple Choice

You Do:

The Amazon River releases 5.5 × 10⁷ gallons of water into the Atlantic Ocean per second. There are about 3.2 × 10⁹ seconds in a year. How many gallons are released into the ocean in one year?

• 17.6 x 10¹⁶

• 1.76 x 10¹⁷

• 176

• .176 x 10¹⁵

​1. Look for key words.
how many times = divide
difference = subtract
sum or total = add
per = multiply

2. Adding or subtracting in scientific notation the exponents have to be the same. Move the decimal and change the exponent to one of the terms if necessary.

3. Multiplying in scientific notation - multiply the first factor and add the exponents.

4. Dividing in scientific notation - divide the first factors and subtract the exponents.

5. For answers, make sure the first factor is between 1 and less than 10.

Open Ended

How can you connect this lesson to the previous lessons on scientific notation?

Multiple Choice

Exit Ticket:

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