A Problem Solving Approach to Mathematics for Elementary School Teachers (13th Edition)

Chapter 4

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Column letter E ; There are 7 columns, which are ... more

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Substitute the whole number 6 for and the whole ... more

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, because if , , and then . ; Assume as and as... more

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Let be an arbitrary even number, where is a ... more

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19 cents ; Convert   to cents, by multiplying   by... more

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; To get total 29 points with the combination of ... more

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1, 3, 5, 9, and 15; As 1 divides every number and... more

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if 16 divides the last four digits of , where is ... more

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Entire Proof Answer: As, any five-digit number can... more

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; Use the divisibility test for 9, that is, if ... more

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Let be an arbitrary odd number, where is a whole... more

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Object N sold: 17; price of object N:   ; Divide ... more

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1, 2, 4, 7, and 14; As 1 divides every number and... more

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if , where is a whole number. ; Let a three-digit ... more

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Entire Proof Answer: As, any four-digit number can... more

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; Let .Use the divisibility test for 9, that is, ... more

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A number is divisible by 5 if its unit digit is 0... more

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According to the divisibility test of 3, sum of ... more

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Yes A repeated 3-digit number is always a multiple... more

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; In the number 123, , , and .Arrange the fourth ... more

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; Let the value of be 4, be 6, be 8.Check ... more

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10 is even number only because it is divisible by ... more

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Divisibility test of 4 states that if the number ... more

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If a number is to be divisible by 6, it must be ... more

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Yes, for any number to be divisible by divisor it ... more

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0 is divisible by 2, so consider it even. ; ... more

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True.For instance: let .Subtract from .As a ... more

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The sum of consecutive number will be divisible ... more

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Make the required diagram for the number 363.As ... more

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; The possible factors of 8 are 1, 2, 4, and 8.... more

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No, Individual S is not correct.1 is an odd number... more

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Write the numbers as the product of prime factors ... more

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Prime factorization: or   ; A number whose ... more

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A number can be a prime number only if it has only... more

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; Two or more numbers multiplied together to ... more

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; A whole number , which is greater than 1, is a ... more

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; The prime numbers in the ascending order are .... more

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; For any prime number , the whole number has ... more

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is not a prime factorization because 25 is a ... more

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In the given equation, 8 is a composite number.... more

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It is observed that 32 and are the factors of ... more

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Rewrite as into the given product.The obtained ... more

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; Find the number of days in 10 weeks by ... more

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; Find the multiple of 7 up to 100 because on ... more

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; The number of item is the multiple of 15 ... more

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; For two-digit number, list the two-digit prime ... more

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; Write all the prime numbers that are less than ... more

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; According to the theorem, if 671 is not ... more

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; Prime number are the number having the factors ... more

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; A number that has odd number of prime factors ... more

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9 is not a prime number. ; The process of ... more

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It can be observed that both the factorizations, ... more

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Divide the given equation by 2 to obtain ,.Write ... more

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Divide the number by ,The number obtained is not ... more

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3 days ; List all the days of a 30-day month on ... more

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; Find all the multiples of 2 that are less than ... more

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; Let the total item be , there will be ... more

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Red: 11; Green: 2; Blue: 23 ; Let the amount of ... more

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Let there be a random number . Then, three ... more

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Let there be a random number then four ... more

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All the composite numbers less than 100 will have ... more

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Observe that all the prime numbers less than or ... more

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The number 353 is not divisible by any prime ... more

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By the Fundamental theorem of arithmetic, any ... more

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874 objects T;1 by type of rectangles are made, ... more

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; Let be the number of balls Individual J had. ... more

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Eldest kid’s age: 8; other two kids’ age: 3 ; ... more

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NoOnly first pupil’s method is right because 3 and... more

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The statement of individual is incorrect because ... more

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Person J is right and his statement can be ... more

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Person is incorrect because 11 which is greater ... more

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The statement is correct since there exist ... more

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The student’s assertion is incorrect since 11 and ... more

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Entire Proof Answer: By definition of division, if... more

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The persons standing at positions 1, 4, 9, 16, 25... more

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Play the game as mentioned.In this game, player A ... more

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A prime number is a number that has only two ... more

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The smallest number in the common region is 24, ... more

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Person G should buy 5 cases of containers of ... more

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GCD: LCM: ; To obtain the GCD of the numbers 6 and... more

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102 ; The product of the GCD and LCM of any two ... more

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; The product of the GCD and LCM of any two ... more

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Entire proof answer: Two numbers are relatively ... more

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; Factor the number 48 into prime factors. ; The ... more

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All   such that   except 7, 14, 21, 28, 35, 42, ... more

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780th “like” ; The LCM of 12, 13, and 20 will give... more

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; Find the total number of people in the event by... more

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; The LCM of 12, 18, and 16 gives the required ... more

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; The required number of Food C is given by the ... more

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; The LCM of the given numbers has to be ... more

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; The required length is given by the GCD of 72 ... more

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GCD: 2LCM: 20 ; To determine the GCD of the given ... more

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; The product of the GCD and LCM of any two ... more

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; The product of the GCD and LCM of any two ... more

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Entire proof answer: Two numbers are relatively ... more

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; Factor the number 60 into prime factors. ; The ... more

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All   such that   except 5, 10, 15, 20, and 25... more

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; Divide 60 by 15 to find the time gap, in ... more

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person ; Every person whose number is a LCM of 15... more

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; The different Object BBs can be filled equally ... more

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; The LCM of 75 and 90 gives the required time.... more

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; Find the prime factorization of 24 and 45... more

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; Day Sun ; Find the of 4, 16, and 6 to determine... more

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; Find the prime factorization of 300 and 264. ; ... more

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For instance,Assume the numbers, 12 and 18.Write ... more

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For instance, , , and .Take the prime ... more

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For instance, , , and .Take the prime ... more

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For instance, , , and .Write the prime ... more

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Common divisor of whole number and will always ... more

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When the of the two numbers is 1, then only their... more

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Assume two whole numbers and . The product of two... more

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The prime factorization done by the student is ... more

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The exponent of each prime in the product of the ... more

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A divisor of a number divides the number by ... more

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Person E's claim is not correct because   for non-... more

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When is multiplied by any number, it gives 0 as ... more

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Person A's statement is not always correct. It is ... more

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Number of multiples of 3 or 5: 4667No, the student... more

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Person G should buy 5 cases of containers of ... more

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A number is prime when it is not divisible by any ... more

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; Find the prime factorization of the given ... more

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The given number has 63 divisors.The prime ... more

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Take the prime factorization of 8, 12, and 15.  , ... more

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Check divisibility by 8 and 3.The number is ... more

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16; multiplied the prime 2 four times. ; The ... more

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; Determine the prime factors of 144. ; The ... more

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Entire Proof Answer: Simplify the given expression... more

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Entire Proof Answer: The number 1009 is prime. So... more

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Among the triplets of consecutive odd whole ... more

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; The least number divisible by numbers less than... more

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The GCD of two numbers is defined as the greatest ... more

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Let there be three numbers , , and .By using the ... more

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The LCM of two numbers is equal to the product of ... more

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31 cents or 1 cent ; The new price of the candy ... more

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She sells 71 Drink L for   each as . ; The new ... more

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; The duration after which both Object B would ... more

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; The greatest number of coins that can be placed... more

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15 minutes ; The time taken by them to be at the ... more

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12 fruits in each bag ; The greatest number of ... more

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on same day ; The time after which the ... more

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Entire Proof Answer: Since is a positive whole ... more

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