Solving Exponents & Scientific Notation Challenges

Solving Exponents & Scientific Notation Challenges
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Delve into a series of math problems involving exponentiation, scientific notation, simplification, conversion, comparison, and ordering of numbers. From identifying rules to simplifying expressions and converting between notations, these exercises aim to strengthen your skills in dealing with exponents and scientific notation.

  • Exponents
  • Scientific Notation
  • Math Problems
  • Simplification
  • Conversion

Uploaded on Mar 19, 2025 | 0 Views


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  1. GrudgeBall review for Exponents & Scientific Notation

  2. There is something goofy!! Step 1: Step 2: 45 4-2 45 42 - 45-2= -43 Step 3: Step 4: -43= -(4x4x4) = -64

  3. Identify the value of n. (34)5= 3n

  4. Identify the rule you need to apply to simplify the expression. Then Simplify. 3 2 35

  5. SimplifYy. 80 8 3

  6. Simplify the expression. 25 26 (23)4

  7. Simplify and Explain your reasoning. 0 55 2 6 123 6

  8. Convert to Scientific Notation: 4,532,000,000,000

  9. Convert to Standard Notation 1.2 x 10-9

  10. Convert to Standard Notation -5.3 x 105

  11. Compare the following numbers. Use a <,>,or = sign. 1.8 x 103 ________1.9 x 10-1

  12. Compare the following numbers. Use a <,>,or = sign. 5.2 x 103 _________6.1 x 103

  13. Compare the following numbers. Use a <,>,or = sign. .00701_______7.1 x 10-3

  14. Order the following numbers from least to greatest. 2/3, 66%, 2.3, 2.3 x 102, 529

  15. Bubba and Fred are having a bubble-blowing contest. The diameter of Bubba s bubble is 2.45 x 10-2feet. Fred s bubble is 3.67 x 10-2 feet. What is the difference in the diameter of their bubbles?

  16. In 2009 there were 2.35 x 106 ferrets kept as pets in India. At the same time there were 3.43 x 105 ferrets kept as pets in France. How many pet ferrets were in there in total in those two countries?

  17. (2.89 x 102) (3.4 x 10-2) =

  18. The average mass of a grain of sand is 1.5 x 10-5grams. Erin s sandbox has approximately 3.067 x 1011 grains of sand in it. What is the mass of the sand in Erin s sandbox?

  19. The diameter of an average cell in a human body is 1 x 10-5 mm. If the diameter of a pin head is 2 x 10-2, how many body cells would fit on the pin head?

  20. Bubbas boot barn was closed last Wednesday so that it could be fogged to kill an infestation of turtle beetles. Turtle beetles are very slow they move at a pace of 3.45 x 10-2 feet per minute. If the beetles ran for their lives as the exterminator came close, how far could they get in 15 minutes?

  21. The US spends on average $9,000 on each student per year. There are about 77,000,000 students in the United States. About how much money total is spent on students each year?

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