Practice Comparing Very Large And Very Small Numbers (10.4.1) - Exponents and Powers
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Comparing very large and very small numbers

Practice - Comparing very large and very small numbers

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Convert 0.0001 to standard form.

💡 Hint: Remember to count how many places you move the decimal to the right.

Question 2 Easy

Convert 200000 to standard form.

💡 Hint: Think about the position of the first non-zero digit.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the standard form of 0.0000004?

4 × 10^(-7)
4 × 10^(-6)
4 × 10^(-5)

💡 Hint: Count how many spaces you moved the decimal.

Question 2

True or False: Large numbers are expressed with negative exponents.

True
False

💡 Hint: Recall the different forms for large and small numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If a galaxy is 2.5 × 10^22 m away and a spacecraft is currently 1.5 × 10^11 m from Earth, how far should it go to reach that galaxy?

💡 Hint: Ensure alignment of powers of ten for subtraction.

Challenge 2 Hard

Given the speed of light is 3.0 × 10^8 m/s, how far does light travel in 10 seconds? Provide the answer in standard form.

💡 Hint: Multiply the coefficients and keep the exponent the same.

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