Understanding Powers of 10

Lesson 11 focuses on representing small numbers on a number line using powers of 10. It includes activities to correct number lines, compare small numbers, and understand atomic-scale decimals. The lesson emphasizes converting numbers into multiples of powers of 10 and using estimation for comparison.

What is the main objective of lesson 11?

• To learn about large numbers on a number line

• To understand how to represent small numbers using powers of 10

• To explore the history of number lines

• To practice addition and subtraction on a number line

In the warm-up activity, what was the mistake in Karen's number line?

• She forgot to label the number line

• She labeled the tick marks with negative fours instead of negative sixes

• She used fractions instead of powers of 10

• She used positive exponents instead of negative

How is 10 to the negative fifth compared to 10 to the negative sixth?

• It is 5 times larger

• It is 10 times smaller

• It is 5 times smaller

• It is 10 times larger

What is the estimated size difference between 9 times 10 to the negative 12 and 2 times 10 to the negative 13?

• Approximately 50 times

• Approximately 5 times

• Approximately 10 times

• Approximately 20 times

When plotting 6 times 10 to the negative seventh on a number line, how should it be rewritten?

• 0.6 times 10 to the negative sixth

• 60 times 10 to the negative sixth

• 0.06 times 10 to the negative sixth

• 6 times 10 to the negative sixth

How can atomic-scale decimals be expressed?

• As a difference of numbers

• As a quotient of numbers

• As a product of a number and 1/10

• As a sum of numbers

What is the value of 3/10 expressed as a product?

• 3 times 1/10

• 3 times 10

• 3 times 1/100

• 3 times 100

How should the mass of a proton be rewritten to fit on a number line?

• 17 times 10 to the negative 24th

• 170 times 10 to the negative 24th

• 1.7 times 10 to the negative 24th

• 0.17 times 10 to the negative 24th

What happens to the value of numbers as you move to the right on a number line?

• They remain the same

• They become negative

• They get larger

• They get smaller

How does zooming in on a number line help in expressing numbers?

• It makes numbers appear larger

• It allows for more precise labeling

• It reduces the number of intervals

• It simplifies calculations