Negative Powers of Ten

The video tutorial explores negative powers of 10, starting with their historical origins in ancient China. It explains how decimals relate to negative exponents and demonstrates that negative exponents can be expressed as fractions. The tutorial covers exponent rules, providing examples to illustrate these concepts. It concludes with applications in science, showing how negative exponents are used to measure small quantities like micrometers and picometers.

What is the representation of the tenths place using powers of 10?

• 10 to the power of -1

• 10 to the power of -2

• 10 to the power of 0

• 10 to the power of 1

How can 10 to the power of -2 be expressed as a fraction?

• 1/1000

• 1/10

• 1/100

• 1/10000

What happens to the exponent when you multiply by 1/10?

• It doubles

• It increases by 1

• It decreases by 1

• It remains the same

What is the result of simplifying 10 to the power of -2 raised to the power of 3?

• 10 to the power of -9

• 10 to the power of -5

• 10 to the power of -6

• 10 to the power of -8

In scientific measurements, what does a micrometer represent?

• Millionths of a meter

• Thousandths of a meter

• Hundredths of a meter

• Billionths of a meter