2016-17 Factors and Multiples
... factorization, Sieve of Eratosthenes. If ab=c, where a,b,c belongs to N then a and b are called factors of c. The product c is called multiple of a and b. A natural number greater than 1, which has exactly two factors, namely 1 and itself, is called a prime number. A natural number having at l ...
... factorization, Sieve of Eratosthenes. If ab=c, where a,b,c belongs to N then a and b are called factors of c. The product c is called multiple of a and b. A natural number greater than 1, which has exactly two factors, namely 1 and itself, is called a prime number. A natural number having at l ...
2006-2007 Meet 1
... and 3 columns. Find the sum of the right-most column with the following clues: ...
... and 3 columns. Find the sum of the right-most column with the following clues: ...
Note
... • Some rational numbers can be “simplified” if both the numerator and denominator are divisible by the same integer. • If the numerator and denominator are not divisible by a common integer, then we say it is simplified. • Sometimes it may take multiple steps of division to arrive at the fraction’s ...
... • Some rational numbers can be “simplified” if both the numerator and denominator are divisible by the same integer. • If the numerator and denominator are not divisible by a common integer, then we say it is simplified. • Sometimes it may take multiple steps of division to arrive at the fraction’s ...
• Front-end Estimation: • Using Compatible Numbers:
... right of the number being rounded is 4 or lower than the number to the left remains the same. 456 will round up to 500. 436 will round down to 400. ...
... right of the number being rounded is 4 or lower than the number to the left remains the same. 456 will round up to 500. 436 will round down to 400. ...
× × × × × × × × × × × * * * * * * * * * * * * * * * *
... Use the tests of divisibility to find the prime numbers between 50 and 60. First, 52, 54, 56, and 58 are multiples of 2. Next, 51, 54, and 57 are multiples of 3 because the sum of the digits of each is also divisible by 3. Then, 55 is a multiple of 5. That leaves 53 and 59, both of which are prime. ...
... Use the tests of divisibility to find the prime numbers between 50 and 60. First, 52, 54, 56, and 58 are multiples of 2. Next, 51, 54, and 57 are multiples of 3 because the sum of the digits of each is also divisible by 3. Then, 55 is a multiple of 5. That leaves 53 and 59, both of which are prime. ...
Here is the algorithm example for the week 8 discussion
... that finds the product of the largest and smallest even integers in the list a 1, a2, …, an. The algorithm should return -1 (or some other negative value) if there are no even numbers. If there is just one even number a special value should be returned so that the user can recognize that fact. Deter ...
... that finds the product of the largest and smallest even integers in the list a 1, a2, …, an. The algorithm should return -1 (or some other negative value) if there are no even numbers. If there is just one even number a special value should be returned so that the user can recognize that fact. Deter ...
Math Help Algebra
... given base to equal that number. Some advantages for using logarithms are very large and very small numbers can be represented with smaller numbers. Another advantage to logarithms is simple addition and subtraction replace equivalent more complex operations. The definition of a logarithms is: ...
... given base to equal that number. Some advantages for using logarithms are very large and very small numbers can be represented with smaller numbers. Another advantage to logarithms is simple addition and subtraction replace equivalent more complex operations. The definition of a logarithms is: ...
Natural Numbers - Abstractmath.org
... N and others do not. People sometimes write informally {1, 2, 3, 4, ...} for N (see below.) ...
... N and others do not. People sometimes write informally {1, 2, 3, 4, ...} for N (see below.) ...
Chapter 4—Statement Forms
... Octal and Hexadecimal Notation • Because binary notation tends to get rather long, computer scientists often prefer octal (base 8) or hexadecimal (base 16) notation instead. Octal notation uses eight digits: 0 to 7. Hexadecimal notation uses sixteen digits: 0 to 9, followed by the letters A through ...
... Octal and Hexadecimal Notation • Because binary notation tends to get rather long, computer scientists often prefer octal (base 8) or hexadecimal (base 16) notation instead. Octal notation uses eight digits: 0 to 7. Hexadecimal notation uses sixteen digits: 0 to 9, followed by the letters A through ...
MODULE 1
... To allow for unrestricted division we expand the set of integers. The new set is called the set of rational numbers, which we denote by the p letter Q . A rational number has the general form , where p and q are q integers numbers with q 0 . The set of integers is a proper subset of the set of rat ...
... To allow for unrestricted division we expand the set of integers. The new set is called the set of rational numbers, which we denote by the p letter Q . A rational number has the general form , where p and q are q integers numbers with q 0 . The set of integers is a proper subset of the set of rat ...
Numbers Natural 0, 1, 2, 3, 4, or 1, 2, 3, 4
... When a natural number is used as a set, this is typically what is meant. Under this definition, there are exactly n elements (in the naïve sense) in the set n and n ≤ m (in the naïve sense) if and only if n is a subset of m. Also, with this definition, different possible interpretations of notations ...
... When a natural number is used as a set, this is typically what is meant. Under this definition, there are exactly n elements (in the naïve sense) in the set n and n ≤ m (in the naïve sense) if and only if n is a subset of m. Also, with this definition, different possible interpretations of notations ...
Properties of Multiplication Associative Property of Multiplication
... Distributive Property The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example: a x (b + c) = a x b + a x c ...
... Distributive Property The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example: a x (b + c) = a x b + a x c ...
1 # Aliquot function. The aliquot function s takes a number greater
... and proved by Lagrange in 1770. Mersenne primes are primes of the form 2n 1 for some n. The …rst few are 3 = 22 1, 7 = 23 1, 31 = 25 1. In general, n must be prime, but that’s not enough to make 2n 1 prime because 211 1 = 23 89. Odd and even. A number is even if it is divisible by 2. A number is odd ...
... and proved by Lagrange in 1770. Mersenne primes are primes of the form 2n 1 for some n. The …rst few are 3 = 22 1, 7 = 23 1, 31 = 25 1. In general, n must be prime, but that’s not enough to make 2n 1 prime because 211 1 = 23 89. Odd and even. A number is even if it is divisible by 2. A number is odd ...
Math Vocabulary - Fractions and Decimals
... 2. Mixed number- a number containing a whole number part and a fraction part. Ex. 3 1/4 3. Improper fraction- a fraction that is greater than or equal to 1. The numerator in an improper fraction is greater than or equal to the denominator. 4. Decimal – a number with one or more digits to the right o ...
... 2. Mixed number- a number containing a whole number part and a fraction part. Ex. 3 1/4 3. Improper fraction- a fraction that is greater than or equal to 1. The numerator in an improper fraction is greater than or equal to the denominator. 4. Decimal – a number with one or more digits to the right o ...
we use digits 0-9 to make numbers 8/2 8+2=10
... The common factors of 8 and 12 are 1,2 and 4. The biggest number in the list ( GCD ) is the 4 ...
... The common factors of 8 and 12 are 1,2 and 4. The biggest number in the list ( GCD ) is the 4 ...
i term worksheet
... 6. Using divisibility test check whether the following are divisible by 4 and 8. 7. Test the divisibility by 6 a) 27840 b) 29400 c) 35684 8. In each of the following fill in the blank with the smallest digit to make it divisible by 3. a) 643 -5 b) 2134 -7 c) 39821-7 9) Fill in the blank with the sma ...
... 6. Using divisibility test check whether the following are divisible by 4 and 8. 7. Test the divisibility by 6 a) 27840 b) 29400 c) 35684 8. In each of the following fill in the blank with the smallest digit to make it divisible by 3. a) 643 -5 b) 2134 -7 c) 39821-7 9) Fill in the blank with the sma ...
Number Systems and Puzzles
... One of the activities also highlights the dangers of simply accepting a method without really testing it or proving that it always works – reasoning and justification are key! ...
... One of the activities also highlights the dangers of simply accepting a method without really testing it or proving that it always works – reasoning and justification are key! ...
Slide 1
... You can see that the numbers in red are what they have in common therefore the Greatest Common Factor is 2x3x5x7 =210 ...
... You can see that the numbers in red are what they have in common therefore the Greatest Common Factor is 2x3x5x7 =210 ...
10 = 10 x 10 x 10 = 1000
... scientific notation, and place value, as well as the basic operations and facts about numbers. As a simple example we write the numeral “352” and say “three hundred fifty two”. We use the exponent form as a shortcut method for writing repeated multiplication. In exponent form there are two important ...
... scientific notation, and place value, as well as the basic operations and facts about numbers. As a simple example we write the numeral “352” and say “three hundred fifty two”. We use the exponent form as a shortcut method for writing repeated multiplication. In exponent form there are two important ...
1.4 Estimating Square Roots
... They are formed by squaring the natural numbers (or whole numbers): 1, 2, 3, 4, 5 … Numbers such as 2, 3, 5, and 6 are not perfect squares because they do not have whole number square roots. ...
... They are formed by squaring the natural numbers (or whole numbers): 1, 2, 3, 4, 5 … Numbers such as 2, 3, 5, and 6 are not perfect squares because they do not have whole number square roots. ...
DEWEY DECIMAL CLASSIFICATION
... Arabic numerals are used to represent each class in the DDC. A decimal point follows the third digit in a class number, after which division by ten continues to the specific degree of classification needed. The longer the number, the more specific (narrow) the class number. Hierarchy Hierarchy in th ...
... Arabic numerals are used to represent each class in the DDC. A decimal point follows the third digit in a class number, after which division by ten continues to the specific degree of classification needed. The longer the number, the more specific (narrow) the class number. Hierarchy Hierarchy in th ...