A FOOTNOTE TO THE LEAST NON ZERO DIGIT OF n! IN BASE 12
... · · · m(n!)ℓ(n!)000 · · · 00, with ℓ(n!) = ℓ12 (n!) 6= 0, then the number m(n!)ℓ(n!) is divisible by 9, and so ℓ(n!) ∈ {3, 6, 9}. Let us further remark that if ℓ(n!) = 6, then 9 divides 12m(n!) + 6, and so 3 divides 2m(n!)+1; since 2m(n!)+1 is odd, it is either congruent to 3 or 9 modulo 12, and the ...
... · · · m(n!)ℓ(n!)000 · · · 00, with ℓ(n!) = ℓ12 (n!) 6= 0, then the number m(n!)ℓ(n!) is divisible by 9, and so ℓ(n!) ∈ {3, 6, 9}. Let us further remark that if ℓ(n!) = 6, then 9 divides 12m(n!) + 6, and so 3 divides 2m(n!)+1; since 2m(n!)+1 is odd, it is either congruent to 3 or 9 modulo 12, and the ...
Moving Straight Ahead - Day 1- Verbal Expressions
... Moving Straight Ahead The Study of Algebra ...
... Moving Straight Ahead The Study of Algebra ...
Chapter 1. Arithmetics
... If two numbers have factors (or divisors) in common, then the largest of these common factors is called their highest common factor (HCF). For example: 18 has the factors 1, 2, 3, 6, 9 and 18; 30 has the factors 1, 2, 3, 5, 6, 15, 30. Consequently, the numbers 1, 2, 3 and 6 are their common factors, ...
... If two numbers have factors (or divisors) in common, then the largest of these common factors is called their highest common factor (HCF). For example: 18 has the factors 1, 2, 3, 6, 9 and 18; 30 has the factors 1, 2, 3, 5, 6, 15, 30. Consequently, the numbers 1, 2, 3 and 6 are their common factors, ...
Year 4 Mental Maths Passport
... What is 7.6 rounded to the nearest whole number? What is 234.2 rounded to the nearest whole number? There are 36 sweets in a bag, what is the largest number of groups ...
... What is 7.6 rounded to the nearest whole number? What is 234.2 rounded to the nearest whole number? There are 36 sweets in a bag, what is the largest number of groups ...
Number Systems
... The quotient at each step becomes the new dividend for the subsequent division. Stop the division process when the quotient becomes zero. Collect the remainders from each step (last to first) and place them left to right to form the required number. ...
... The quotient at each step becomes the new dividend for the subsequent division. Stop the division process when the quotient becomes zero. Collect the remainders from each step (last to first) and place them left to right to form the required number. ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.