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Which number is greater?

Which number is greater?. Compare rational and irrational numbers. Focus 4 - Learning Goal #2: Students will work with radicals and integer exponents. Rodney thinks is greater than 17 / 4 . Sam Thinks that 17 / 4 is greater. Who is right and why?. = 4 17 / 4 = 4 ¼

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Which number is greater?

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  1. Which number is greater? Compare rational and irrational numbers.

  2. Focus 4 - Learning Goal #2:Students will work with radicals and integer exponents.

  3. Rodney thinks is greater than 17/4. Sam Thinks that 17/4is greater. Who is right and why? • = 4 • 17/4 = 4 ¼ • Because 4 < 4 ¼, then < 17/4. So, is smaller. • On a number line would be left of 17/4. • Therefore, Sam is correct. 4 ¼ 4 5

  4. Which number is smaller, or 2.89? Explain. • Because 2.89 <3, then 2.89 < . • On a number line, 2.89 is left of 3. • Therefore, 2.89 is smaller than . 2.89 2.5 3.5 3.0

  5. Which number is greater, or 319/45? Explain. • is irrational. • 7.1•7.1 = 50.41 • 7.09•7.09 = 50.2681 • 7.08•7.08 = 50.1264 • 7.07•7.07 = 49.9849 • is about 7.07 • 319/45 = 7 4/45 • 4/45 = .088888… • 319/45 is about 7.09. • Since 7.07 < 7.09, • then < 319/45. • The greater number is 319/45.

  6. Which number is greater,5/11or 0.4? Explain. • 5/11 is equal to 0.45 • Since 0.444444… < 0.4545454545…, • then 0.4 < 5/11. • The greater number is 5/11.

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