〈4.1.b〉 āĻ…āĻ¨ā§āĻĒāĻžāĻ¤, āĻ¸āĻŽāĻžāĻ¨ā§āĻĒāĻžāĻ¤ āĻāĻŦāĻ‚ āĻļāĻ¤āĻ•āĻ°āĻž āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1.  If an athlete’s weight decreased from [latex]160[latex] pounds to [latex]152[latex] pounds, what was the percent decrease in the athlete’s weight?   2. Emma spent $[latex]75[latex] buying a used bicycle and $[latex]27[latex] repairing it. Then she sold the bicycle for [latex]40[latex] percent more than the total amount she spent buying and repairing it. […]

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〈3.6.b〉 āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ° āĻŦāĻŋāĻ­āĻžāĻœā§āĻ¯āĻ¤āĻž āĻāĻŦāĻ‚ āĻāĻ•āĻ• āĻ¸ā§āĻĨāĻžāĻ¨ā§€ā§Ÿ āĻŽāĻžāĻ¨ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. When the positive integer [latex]n[latex] is divided by [latex]3[latex], the remainder is [latex]2[latex] and when [latex]n[latex] is divided by [latex]5[latex], the remainder is [latex]1[latex]. What is the least possible value of [latex]n[latex]?   2. [latex]n[latex] is a positive integer that is divisible by [latex]6[latex]. Quantity A Quantity B The remainder when [latex]n[latex] is divided by [latex]12[latex] The […]

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〈3.5.b〉 āĻ¸ā§‚āĻšāĻ• āĻāĻŦāĻ‚ āĻŦāĻ°ā§āĻ—āĻŽā§‚āĻ˛ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. Quantity A Quantity B [latex]\frac {{ 2 }^{ 30 }-{ 2 }^{ 29 }}{ 2 }[latex]  [latex]{ 2 }^{ 28 }[latex]   2. Quantity A Quantity B [latex]{ 3 }^{ x+1 }[latex]  [latex]{ 4 }^{ x }[latex]   3.  [latex]x[latex] and [latex]m[latex] are positive numbers, and [latex]m[latex] is a multiple of [latex]3[latex]. […]

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〈3.4.b〉 āĻ§āĻžāĻ°āĻžāĻŦāĻžāĻšāĻŋāĻ• āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž, āĻ¤āĻžāĻĻā§‡āĻ° āĻ—ā§œ āĻ“ āĻŽāĻ§ā§āĻ¯āĻŽāĻž āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. [latex]r, s[latex], and [latex]t[latex] are three consecutive odd integers such that [latex]r<s<t[latex]. Quantity A Quantity B [latex]r+s+1[latex]  [latex]s+t-1[latex]   2. By how much is the greatest of five consecutive even integers greater than the smallest among them? (A) [latex]1[latex] (B) [latex]2[latex] (C) [latex]4[latex] (D) [latex]8[latex] (E) [latex]10[latex]   3.  Which one of […]

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〈3.3.b〉 āĻĒā§āĻ°āĻžāĻ‡āĻŽ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. Quantity A Quantity B The number of prime numbers divisible by [latex]2[latex] The number of prime numbers divisible by [latex]3[latex]   2. Which one of the following equals the product of exactly two prime numbers? (A) [latex]11*6[latex] (B) [latex]13*22[latex] (C) [latex]14*23[latex] (D) [latex]17*21[latex] (E) [latex]13*23[latex]   3. Which one of the following […]

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〈3.2.b〉 āĻ˛āĻ¸āĻžāĻ—ā§ āĻāĻŦāĻ‚ āĻ—āĻ¸āĻžāĻ—ā§ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. Quantity A Quantity B [latex]{ 950 }^{ 2000 }[latex]  [latex]{ 10 }^{ 2000 }[latex]   2. Which of the following integers are multiples of both [latex]2[latex] and [latex]3[latex] ? Indicate all such integers. (A) [latex]8[latex] (B) [latex]9[latex] (C) [latex]12[latex] (D) [latex]18[latex] (E) [latex]21[latex] (F) [latex]36[latex]   3. If [latex]\frac { 1 }{ \left( […]

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〈3.1.b〉 āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž, āĻ¸ā§āĻĨāĻžāĻ¨ā§€ā§Ÿ āĻŽāĻžāĻ¨ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. Set [latex]S[latex] consists of all positive integers less than [latex]81[latex] that are not equal to the square of an integer. Quantity A Quantity B The number of integers in set [latex]S[latex]  [latex]72[latex]   2. Which of the following numbers is farthest from the number [latex]1[latex] on the number line? (A) [latex]-10[latex] (B) […]

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〈3.3.a〉āĻĒā§āĻ°āĻžāĻ‡āĻŽ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°āĻžāĻĨāĻŽāĻŋāĻ• āĻ§āĻžāĻ°āĻŖāĻž āĻāĻŦāĻ‚ āĻ•āĻŋāĻ›ā§ āĻŦāĻŋāĻļā§‡āĻˇ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ

 [Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ3〉Primes and Signed Numbers āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.3.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈3.3.a〉āĻĒā§āĻ°āĻžāĻ‡āĻŽ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°āĻžāĻĨāĻŽāĻŋāĻ• āĻ§āĻžāĻ°āĻŖāĻž āĻāĻŦāĻ‚ āĻ•āĻŋāĻ›ā§ āĻŦāĻŋāĻļā§‡āĻˇ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ Primes āĻŦāĻž āĻŽā§ŒāĻ˛āĻŋāĻ• āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž A prime number is any positive integer larger than [latex]1[latex] with exactly two factors: [latex]1[latex] and itself. In other words, a prime number has NO factors […]

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〈3.2.a〉āĻ˛āĻ¸āĻžāĻ—ā§ āĻāĻŦāĻ‚ āĻ—āĻ¸āĻžāĻ—ā§: āĻ‡āĻ‰ āĻŸāĻŋāĻ‰āĻŦ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ2〉Factors and multiplies: LCM,GCF āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.2.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈3.2.a〉āĻ˛āĻ¸āĻžāĻ—ā§ āĻāĻŦāĻ‚ āĻ—āĻ¸āĻžāĻ—ā§: āĻ‡āĻ‰ āĻŸāĻŋāĻ‰āĻŦ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ Factors and Multiples Factors and Multiples are opposite of each other. Factor āĻšāĻ˛ā§‹ āĻāĻ•āĻŸāĻŋ positive integer āĻ¯āĻž āĻĻāĻŋā§Ÿā§‡ āĻ…āĻ¨ā§āĻ¯ āĻ•ā§‹āĻ¨ integer āĻ•ā§‡ āĻ­āĻžāĻ— āĻ•āĻ°āĻž āĻ¯āĻžā§ŸāĨ¤ [latex]1, 2, 4[latex] and [latex]8[latex] […]

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〈3.1.a〉āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž, āĻ¸ā§āĻĨāĻžāĻ¨ā§€ā§Ÿ āĻŽāĻžāĻ¨ āĻāĻŦāĻ‚ āĻ•āĻŋāĻ›ā§ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ1〉Types of Numbers āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.1.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈3.1.a〉āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž, āĻ¸ā§āĻĨāĻžāĻ¨ā§€ā§Ÿ āĻŽāĻžāĻ¨ āĻāĻŦāĻ‚ āĻ•āĻŋāĻ›ā§ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ āĻāĻ• āĻ¨āĻœāĻ°ā§‡ āĻāĻ‡ āĻ…āĻ§ā§āĻ¯āĻžā§Ÿā§‡āĻ° āĻ¸ā§‚āĻ¤ā§āĻ°āĻ¸āĻŽā§‚āĻš: āĻ¯ā§‡ āĻĄāĻŋāĻœāĻŋāĻŸ āĻĒāĻ°ā§āĻ¯āĻ¨ā§āĻ¤ rounding up āĻ•āĻ°āĻ¤ā§‡ āĻšāĻŦā§‡ āĻ¤āĻžāĻ° āĻ āĻŋāĻ• āĻĒāĻ°ā§‡āĻ° āĻĄāĻŋāĻœāĻŋāĻŸā§‡āĻ° āĻĻāĻŋāĻ•ā§‡ āĻ¨āĻœāĻ° āĻĻāĻŋāĻ¤ā§‡ āĻšāĻŦā§‡āĨ¤ āĻ¯āĻĻāĻŋ āĻ¸ā§‡āĻŸāĻž [latex]4[latex] āĻŦāĻž āĻ¤āĻžāĻ° āĻ•āĻŽ āĻšā§Ÿ, āĻ¤āĻžāĻšāĻ˛ā§‡ āĻ¸ā§‡āĻŸāĻžāĻ•ā§‡ […]

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〈3.4.a〉āĻ§āĻžāĻ°āĻžāĻŦāĻžāĻšāĻŋāĻ• āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž, āĻ¤āĻžāĻĻā§‡āĻ° āĻ—ā§œ āĻ“ āĻŽāĻ§ā§āĻ¯āĻŽāĻž āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿ āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯

 [Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ4〉Consecutive Number āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.4.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈3.4.a〉āĻ§āĻžāĻ°āĻžāĻŦāĻžāĻšāĻŋāĻ• āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž, āĻ¤āĻžāĻĻā§‡āĻ° āĻ—ā§œ āĻ“ āĻŽāĻ§ā§āĻ¯āĻŽāĻž āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿ āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ â€ĸ Consecutive multiplies āĻ•ā§‡āĻŦāĻ˛āĻŽāĻžāĻ¤ā§āĻ° integer āĻĻā§āĻŦāĻžāĻ°āĻž āĻ—āĻ āĻŋāĻ¤ āĻšā§ŸāĨ¤ â€ĸ The arithmetic mean (average) and median and equal to the element in the set can be found by figuring out the […]

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〈3.6.a〉āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ° āĻŦāĻŋāĻ­āĻžāĻœā§āĻ¯āĻ¤āĻž āĻāĻŦāĻ‚ āĻāĻ•āĻ• āĻ¸ā§āĻĨāĻžāĻ¨ā§€ā§Ÿ āĻŽāĻžāĻ¨ āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿā§‡āĻ° āĻĒāĻĻā§āĻ§āĻ¤āĻŋ

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ6〉Divisibility, Last digit āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.6.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈3.6.a〉āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ° āĻŦāĻŋāĻ­āĻžāĻœā§āĻ¯āĻ¤āĻž āĻāĻŦāĻ‚ āĻāĻ•āĻ• āĻ¸ā§āĻĨāĻžāĻ¨ā§€ā§Ÿ āĻŽāĻžāĻ¨ āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿā§‡āĻ° āĻĒāĻĻā§āĻ§āĻ¤āĻŋ āĻĻā§āĻ‡āĻŸāĻŋ integer āĻāĻ° āĻ¯ā§‹āĻ—āĻĢāĻ˛ āĻŦāĻž āĻŦāĻŋā§Ÿā§‹āĻ—āĻĢāĻ˛ āĻ¸āĻŦ āĻ¸āĻŽā§Ÿ āĻ†āĻ°ā§‡āĻ•āĻŸāĻŋ integer āĻšā§ŸāĨ¤ āĻĻā§āĻ‡āĻŸāĻŋ integer āĻāĻ° āĻ—ā§āĻŖāĻĢāĻ˛ āĻ¸āĻŦāĻ¸āĻŽā§Ÿ āĻ†āĻ°ā§‡āĻ•āĻŸāĻŋ integer āĻšā§ŸāĨ¤ āĻĻā§āĻ‡āĻŸāĻŋ integer āĻāĻ° āĻ­āĻžāĻ—āĻĢāĻ˛ āĻ¨āĻ¤ā§āĻ¨ āĻāĻ•āĻŸāĻŋ integer āĻšāĻ¤ā§‡ āĻĒāĻžāĻ°ā§‡ āĻ†āĻŦāĻžāĻ° āĻāĻ•āĻŸāĻž fraction (āĻ­āĻ—ā§āĻ¨āĻžāĻ‚āĻļ) āĻšāĻ¤ā§‡ […]

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〈3.6.a2〉āĻĻāĻļāĻŽāĻŋāĻ•āĻ¯ā§āĻ•ā§āĻ¤ āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ° āĻ¸āĻžāĻšāĻžāĻ¯ā§āĻ¯ā§‡ āĻ…āĻ¨ā§āĻĒāĻžāĻ¤ āĻ“ āĻ­āĻžāĻ—āĻļā§‡āĻˇ āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿ

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ6〉Divisibility, Last digit āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.6.a2〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] Rule: āĻ•ā§‹āĻ¨ āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ•ā§‡ ([latex]p[latex]) āĻ†āĻ°ā§‡āĻ•āĻŸāĻŋ āĻ‡āĻ¨ā§āĻŸāĻŋāĻœāĻžāĻ° ([latex]d[latex]) āĻĻāĻŋā§Ÿā§‡ āĻ­āĻžāĻ— āĻ•āĻ°āĻ˛ā§‡ āĻ­āĻžāĻ—āĻļā§‡āĻˇ āĻŦāĻž remainder āĻšāĻŋāĻ¸āĻžāĻŦā§‡ [latex]r[latex] āĻāĻ° āĻŽāĻžāĻ¨ āĻ¸āĻ°ā§āĻŦāĻ¨āĻŋāĻŽā§āĻ¨ [latex]0[latex] āĻāĻŦāĻ‚ āĻ¸āĻ°ā§āĻŦā§‹āĻšā§āĻšÂ [latex](d-1)[latex] āĻĒāĻ°ā§āĻ¯āĻ¨ā§āĻ¤ āĻšāĻŦā§‡āĨ¤ [latex]r[latex] āĻāĻ° āĻŽāĻžāĻ¨ [latex]d[latex] āĻŦāĻž āĻ¤āĻžāĻ° āĻŦā§œ āĻšāĻ¤ā§‡ āĻĒāĻžāĻ°āĻŦā§‡ āĻ¨āĻžāĨ¤ āĻ‰āĻĻāĻžāĻšāĻ°āĻŖ āĻ¸ā§āĻŦāĻ°ā§‚āĻĒ, āĻ•ā§‹āĻ¨ āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ•ā§‡ [latex]13[latex] āĻĻāĻŋā§Ÿā§‡ āĻ­āĻžāĻ— āĻ•āĻ°āĻ˛ā§‡ āĻ­āĻžāĻ—āĻļā§‡āĻˇ […]

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〈3.5.a〉āĻ¸ā§‚āĻšāĻ• āĻāĻŦāĻ‚ āĻŦāĻ°ā§āĻ—āĻŽā§‚āĻ˛ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

 [Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (3) Number Properties āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ5〉Exponents and roots āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ3.5.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈3.5.a〉āĻ¸ā§‚āĻšāĻ• āĻāĻŦāĻ‚ āĻŦāĻ°ā§āĻ—āĻŽā§‚āĻ˛ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž Increasing power cause positive fraction to decrease. āĻ§āĻ¨āĻžāĻ¤ā§āĻŽāĻ• āĻ­āĻ—ā§āĻ¨āĻžāĻ‚āĻļāĻ•ā§‡ āĻ¯āĻ¤ āĻ›ā§‹āĻŸ power āĻ āĻ‰āĻ¨ā§āĻ¨ā§€āĻ¤ āĻ•āĻ°āĻž āĻšā§Ÿ āĻ¤āĻžāĻ° āĻŽāĻžāĻ¨ āĻ¤āĻ¤ āĻŦā§œ āĻšā§Ÿ āĻāĻŦāĻ‚ āĻŦā§œ āĻšāĻ¤ā§‡ āĻšāĻ¤ā§‡ āĻ¸ā§‡āĻŸāĻŋ āĻ¸āĻ°ā§āĻŦā§‡āĻžāĻšā§āĻš āĻĒāĻ°ā§āĻ¯āĻ¨ā§āĻ¤ āĻ¯ā§‡āĻ¤ā§‡ āĻĒāĻžāĻ°ā§‡ āĻ•āĻŋāĻ¨ā§āĻ¤ā§ āĻ•āĻŋāĻ›ā§āĻ¤ā§‡āĻ‡ […]

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