Scientific Notation Operations and Concepts

The video tutorial covers practice and problem-solving for lesson 1-10, focusing on scientific notation. It includes multiplying and dividing numbers in scientific notation, solving for unknown exponents, and calculating mass and average consumption using scientific notation. The teacher provides step-by-step explanations and examples, emphasizing the importance of proper scientific notation format. A code word is introduced for class engagement.

What is the result of multiplying 7 times 10 to the negative 6 power by itself?

• 4.9 times 10 to the negative 12

• 49 times 10 to the negative 12

• 4.9 times 10 to the negative 11

• 49 times 10 to the negative 11

When multiplying numbers in scientific notation, what do you do with the exponents?

• Divide them

• Multiply them

• Add them

• Subtract them

In the equation 1.9 times 10 to the 7 equals 1 times 10 to the 5 times 1.9 times 10 to the n, what is the value of n?

• 3

• 7

• 2

• 5

What is the first step in solving for an unknown exponent in scientific notation?

• Divide the coefficients

• Subtract the exponents

• Multiply the coefficients

• Add the exponents

How do you express the mass of 30,000 molecules if one molecule has a mass of 5.3 times 10 to the negative 3?

• 1.59 times 10 to the negative 18

• 15.9 times 10 to the negative 19

• 1.59 times 10 to the negative 19

• 15.9 times 10 to the negative 18

How do you adjust the result when the first number in scientific notation is greater than 10?

• Move the decimal left and increase the exponent

• Move the decimal right and decrease the exponent

• Move the decimal left and decrease the exponent

• Move the decimal right and increase the exponent

What is the result of dividing 7.2 times 10 to the negative 8 by 3 times 10 to the negative 2?

• 2.4 times 10 to the negative 8

• 2.4 times 10 to the negative 6

• 2.4 times 10 to the negative 4

• 2.4 times 10 to the negative 2

What is the code word mentioned in the video?

• Cashews

• Walnuts

• Almonds

• Pistachios

If the total fruit juice consumption is 2.28 times 10 to the 9 gallons and the population is 3 times 10 to the 8, what is the average consumption per person?

• 0.076 gallons

• 0.76 gallons

• 7.6 gallons

• 76 gallons

What is the approximate number of pounds of garbage produced per person if the total garbage is 6.958 times 10 to the 10 and the population is 4.57 times 10 to the 5?

• 1.52 times 10 to the 5

• 1.52 times 10 to the 4

• 1.5 times 10 to the 5

• 1.5 times 10 to the 4