Orders of Magnitude — Definition & Examples
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- (Video) Orders of Magnitude by Truckee Truckee has a good video about orders of magnitude. Summary\large{\text{Summary}}Summary We use orders of magnitude for estimating. If you…
By Ben Ferrara, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Joshua Siktar
- The order of magnitude is the power of 101010 a number is raised to when it's in scientific notation. For example, the order of magnitude for 19,40019{,}40019,400 would be 444. …
By Alex Federspiel, Caroline K, Jonathan Heller, Joshua Siktar
Problems 24
- What is the order of magnitude of 767^676? (Feel free to use a calculator to find the value.)
- The radius of the Moon is 1079.41079.41079.4 miles. What is the order of magnitude of this radius in miles?
- What is the order of magnitude of 104⋅10−710^4 \cdot 10^{-7}104⋅10−7?
- What is the order of magnitude of 10−5⋅10−210^{-5} \cdot 10^{-2}10−5⋅10−2?
- When you think about the size of pinhead in meters, would the order of magnitude be positive, negative, or zero?
- What order of magnitude is 10210^2102?
- What order of magnitude is 10410^4104?
- What order of magnitude is 101?10^1?101?
- What order of magnitude is 10×10610\times 10^610×106?
- What order of magnitude is 10510^5105?
- What is the order of magnitude of 29?2^9?29? (Feel free to use a calculator to find the value.)
- What is the order of magnitude of 66?6^6?66? (Feel free to use a calculator to find the value.)
- What is the order of magnitude of 87?8^7?87? (Feel free to use a calculator to find the value.)
- What is the order of magnitude of 343^434? (Feel free to use a calculator to find the value.)
- The distance from the Earth to the Sun is 92.9692.9692.96 million miles. What is the order of magnitude of this distance in miles?
- The distance from the Earth to the Moon is 238,900238{,}900238,900 miles. What is the order of magnitude of this distance in miles?
- The distance from Earth to Pluto is 4.674.674.67 billion miles. What is the order of magnitude of this distance (in miles)?
- The distance from Earth to Jupiter is 588588588 million kilometers. What is the order of magnitude of this distance (in kilometers)?
- If an architectural model of a building is "two orders of magnitude smaller in each dimension" than the actual building, which answer choice is possible?
- Suppose the dimensions of a building are "roughly a hundred times" the dimensions of a model of the building. Which answer choices are possible? Select all that apply.
- Suppose the dimensions of a city are "roughly 300030003000 times" the dimensions of a detailed city map. What can you conclude? Select all that apply.
- True or False\text{True or False}True or False === The statement "1000π1000\pi1000π has the same order of magnitude as 300030003000" means that the order of magnitude of 1000π10…
- True or False\text{True or False}True or False === The phrase "20+π20+\pi20+π has the same order of magnitude as 101010" means that the order of magnitude of 20+π20+\pi20+π is 1…
- What is the order of magnitude of 106×π5×300−3?10^6\times \pi^5\times 300^{-3}?106×π5×300−3?