Operations with Scientific Notation

This video tutorial explains how to add and subtract numbers using scientific notation. It covers basic operations when exponents are the same and provides strategies for handling different exponents by adjusting decimal places. The tutorial includes several example problems to illustrate these concepts, ensuring a comprehensive understanding of scientific notation operations.

What is the result of 9 times 10^3 minus 5 times 10^3?

• 14 times 10^3

• 4 times 10^3

• 9 times 10^3

• 5 times 10^3

If you add 7 times 10^4 and 2 times 10^4, what do you get?

• 7 times 10^4

• 2 times 10^4

• 9 times 10^4

• 5 times 10^4

How do you handle subtraction when the exponents are different, such as in 12 times 10^4 minus 4 times 10^5?

• Convert the smaller exponent to the larger one

• Add the exponents

• Convert the larger exponent to the smaller one

• Subtract directly

What is the result of 1.2 times 10^5 minus 4 times 10^5?

• 1.2 times 10^5

• 4 times 10^5

• -2.8 times 10^5

• 2.8 times 10^5

When converting 2.7 times 10^4 to match 3.6 times 10^5, what is the new form of 2.7?

• 2.7 times 10^5

• 0.27 times 10^5

• 0.027 times 10^5

• 27 times 10^5

What is the sum of 3.6 times 10^5 and 0.27 times 10^5?

• 3.33 times 10^5

• 3.87 times 10^5

• 3.6 times 10^5

• 0.27 times 10^5

How do you adjust the exponent when moving the decimal two places to the right?

• Decrease the exponent by two

• Increase the exponent by one

• Keep the exponent the same

• Increase the exponent by two

What is the result of 4.2 times 10^7 plus 0.08 times 10^7?

• 4.08 times 10^7

• 4.28 times 10^7

• 0.08 times 10^7

• 4.2 times 10^7

What is the result of 0.5 times 10^7 minus 9.3 times 10^5?

• 4.407 times 10^7

• 0.407 times 10^7

• 5.407 times 10^7

• 9.3 times 10^5

What is the key concept in adding or subtracting numbers in scientific notation?

• Multiplying the coefficients

• Subtracting the exponents

• Matching the exponents

• Adding the coefficients