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15 Cards in this Set
- Front
- Back
A __________ number is a number that can be written in the form of a/b, where a and b are integers, and b does not equal 0.
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Rational.
Examples: -3 5/4 = 1.25 1/3 = 0.33 Whole numbers can be written with a denominator of 1, so they count as rational numbers (i.e. -3 = -3/1, 15 = 15/1) |
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An ____________ number cannot be written in the form of a/b, where a and b are integers, and b does not equal 0.
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Irrational
Example: 5/0 = undefined |
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The ___________ form of a rational number either terminates or is periodic.
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Decimal.
3/4 = 0.75 this decimal terminates 1/6 = 0.16666... this is a periodic decimal as it has a repeating pattern: also written 0.16 6/33 = 0.181818... this is also a periodic decimal as it has a repeating pattern: also written 0.18 |
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In decimal form, ____________ numbers neither terminate nor are periodic (no repeating pattern).
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Irrational
Example: 3/65 = 0.04651538... Ö3 = 1.7320508... (the square root of 3 is an infinite decimal) |
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Is the following number rational or irrational? 4.123696857... _____________
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Irrational
4.123696857... is neither periodic, nor does it terminate. It appears to continue with no apparent pattern. |
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Is the following number rational or irrational? 2.135135. ___________
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Rational
2.315315 has a clear cut repetitive pattern and ends after the second 5. |
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Which of the following is a rational number?
3.245245… all of the other choices 3.24... 3.245 |
All of the other choices.
3.245245... is periodic, 3.245 terminates, and 3.24... is periodic. |
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Which of the following is an irrational number?
Ö2 1.45 -5 1/10 |
√2 = 1.4142135... It doesn’t terminate, nor is it periodic.
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Which of the following is a rational number?
3.14159… 1.2564513... 2.54586… 1.33333… |
1.33333...
None of the numbers terminate, but 1.33333... is periodic. |
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In group A, there are 5 cupcakes for 3 children. In group B, there are 7 cupcakes for 4 children, and in group C, there are 9 cupcakes for 5 children. Which group (if any) represents an irrational number of cupcakes per child?
group A none of the other choices group C group B |
None of the other choices.
Group A = 5/3 cupcakes per child. Group B = 7/4 cupcakes per child. Group C = 9/5 cupcakes per child, all of which are rational numbers. |
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Which of the following is a rational number?
√18 √20 √25 √22 |
√25.
√18 = 4.2426... √20 = 4.4721... √22 = 4.6904 √25 = 5 |
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Which of the following is an irrational number?
-Pi (P) 2.4646 (1/5)2 -1 |
-Pi. Pi is a value used in calculating the circumference and area of circles, and is a nonterminating, nonperiodic decimal:
P = 3.141592654... When using Pi in calculations, generally you just use a rounded off value of 3.14. |
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Which of the following (A, B, C or D) on the number line BEST represents an irrational number? _____
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C
A, B and D clearly land on either whole numbers or perfect fractions. |
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Which of the following is a rational number?
(√7)2 √18 √20 (√5) |
(√7)2
If you square the square root of a number, it gets rid of the radical (Ö). So (√7)2 = 7 |
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Which of the following is an irrational number?
Pi / Pi √2 / √2 (√15) / 2 (√4) / 2 |
(√15) / 2
(√15) / 2 = 1.9365... (√4) / 2 = 2 / 2 = 1 √2 / √2 = 1 Pi / Pi = 1 |