Understanding Powers of 10

Lesson 11 focuses on representing small numbers on a number line using powers of 10. It includes activities to correct and compare numbers on a number line, emphasizing the use of negative exponents and estimation. The lesson also covers atomic-scale decimals, explaining how they can be expressed as products of numbers and powers of 10. Students engage in exercises to label and plot points on a number line, reinforcing their understanding of these concepts.

What is the main focus of Lesson 11?

• Visualizing small numbers using powers of 10

• Representing large numbers on a number line

• Learning about negative numbers

• Understanding fractions on a number line

What should Karen change on her number line according to the warm-up activity?

• Remove all negative numbers

• Use positive numbers instead

• Add more tick marks

• Change negative fours to negative sixes

Why is 10 to the negative fifth larger than 10 to the negative sixth?

• It is closer to zero

• It is a smaller exponent

• It is 10 times larger

• It has more factors of 1/10

How should you rewrite 6 times 10 to the negative seventh to fit it on the number line?

• 0.06 times 10 to the negative sixth

• 60 times 10 to the negative eighth

• 6 times 10 to the negative fifth

• 0.6 times 10 to the negative sixth

What is the purpose of expressing decimals as products of numbers and powers of 10?

• To make them easier to add

• To simplify multiplication

• To understand their scale

• To convert them to fractions

How do you represent the radius of an electron on a number line?

• As 3 times 10 to the negative 12

• As 3 times 10 to the negative 13

• As 30 times 10 to the negative 14

• As 0.3 times 10 to the negative 12

What is the correct way to rewrite the mass of a proton for plotting?

• 17 times 10 to the negative 24

• 0.17 times 10 to the negative 23

• 1.7 times 10 to the negative 23

• 1.7 times 10 to the negative 24

How is the wavelength of an X-ray expressed on a zoomed-in number line?

• 6.1 times 10 to the negative 11

• 6.1 times 10 to the negative 12

• 7.1 times 10 to the negative 12

• 5.1 times 10 to the negative 12

What is the benefit of converting numbers into multiples of powers of 10?

• It converts them to fractions

• It simplifies division

• It makes them easier to add

• It helps in understanding their scale