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How to do double digit long division step by step?

2010-12-19T17:17:00.000-08:00

How to do double digit long division step by step? More books about long division for kids How to do Long Division with Remainders? When we are given a long division to do it will not always work out to a whole number. Sometimes there will be numbers left over. These are known as remainders. Taking an example similar to that on the Long Division page it becomes more

How to do long multiplication with decimals?

2010-12-17T02:33:00.000-08:00

Decimal values are used to symbolize fraction numbers. In the multiplication with decimals are writing exclusive of a fraction having denominator and denominator. Decimal values are might be greater than 1 or less than 1. For the model, the fraction 4/10 might be written as the decimal value as 0.4 and marked as four tenths or zero point four. The decimal of 45/10 is 4.5 which can be marked

How to do long multiplication step by step

2010-12-17T02:28:00.000-08:00

Long multiplication extends tables work so that numbers bigger than 10 can be multiplied without using a calculator. There are a number of ways to do this.The traditional method is demonstrated in the example below. This method is very versatile and can handle decimals as well as whole numbers. In the box on the right you can enter your own multiplications. Watch as the solution unfolds step

Fractions in Fractions Games

2010-12-16T20:16:00.000-08:00

Online Fractions Games FRACTION BALLS 1: Identify fractions with the picture. Each fraction ball has a fraction on it and it's your job is to guide the ball into the correct container. MATH SPLAT: Help save the mosquitoes in this adding fractions game. Starts with common denominators and the last level has unlike denominators. Multiplying Fractions Drill: After you click the link, if you

How to do Long division tricks for kids

2010-12-16T19:55:00.000-08:00

"In arithmetic, long division is a standard procedure suitable for dividing simple or complex multidigit numbers. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed

How to explain long division to children?

2010-12-15T01:13:00.000-08:00

How to explain long division to children?Solution for 531219 ÷ 579 - with remainderStep 1Long division works from left to right. Since 579 will not go into 5, a grey 0 has been placed over the 5 and we combine the first two digits to make 53. In this case, 53 is still too small. A further 0 is added above 3 and a third digit is added to make 531. Note the other digits in the original number

44th International Mathematical Olympiad 2003 Problems & Solutions

2010-12-15T01:03:00.000-08:00

A1. S is the set {1, 2, 3, ... , 1000000}. Show that for any subset A of S with 101 elements we can find 100 distinct elements xi of S, such that the sets xi + A are all pairwise disjoint. [Note that xi + A is the set {a + xi | a is in A} ]. A2. Find all pairs (m, n) of positive integers such that m2/(2mn2 - n3 + 1) is a positive integer. A3. A convex hexagon has

43rd International Mathematical Olympiad 2002 Problems & Solutions

2010-12-15T00:49:00.000-08:00

A1. S is the set of all (h, k) with h, k non-negative integers such that h + k < n. Each element of S is colored red or blue, so that if (h, k) is red and h' ≤ h, k' ≤ k, then (h', k') is also red. A type 1 subset of S has n blue elements with different first member and a type 2 subset of S has n blue elements with different second member. Show that there are the same number of type 1 and

How to do long division with remainders?

2010-12-15T00:09:00.000-08:00

Master Long Division Practice Workbook: Improve Your Math Fluency Series (Volume 8)Basic Math and Pre-Algebra Workbook For Dummies Division, Ages 7-12 (Workbook w/Music CD) Solution for 768978 ÷ 358 - with remainderStep 1Long division works from left to right. Since 358 will not go into 7, a grey 0 has been placed over the 7 and we combine the first two digits to make 76. In this case, 76 is

How to teach long division with remainders?

2010-12-14T23:48:00.000-08:00

Master Long Division Practice Workbook: Improve Your Math Fluency Series (Volume 8)Basic Math and Pre-Algebra Workbook For Dummies Division, Ages 7-12 (Workbook w/Music CD) Solution for 76999 ÷ 123 - with remainderStep 1Long division works from left to right. Since 123 will not go into 7, a grey 0 has been placed over the 7 and we combine the first two digits to make 76. In this case, 76 is

How to do long division of large numbers?

2010-12-14T23:22:00.000-08:00

How to divide larger numbers and do long division?This is video for how to divide large numbers by doing long division with easy methods. This video describes that dividing the "Dividend" with "Divisor" to get the "Quotient" and "Remainder" if they exist. In the given example first "25" taken as the Dividend and "5" is will be the Divisor. Divide this value the multiplication is needed. For above

How to do long division of polynomials?

2010-12-14T23:19:00.000-08:00

Divide 3x3 – 5x2 + 10x – 3 by 3x + 1 This division did not come out even. What am I supposed to do with the remainder? Think back to when you did long division with plain numbers. Sometimes there would be a remainder; for instance, if you divide 132 by 5: ...there is a remainder of 2. Remember how you handled that? You made a fraction,

How to do long division without a calculator?

2010-12-14T23:12:00.000-08:00

How to teach long division without a calculator?In the olden days, knowing how to divide large numbers was important. Basic long division is still good to know, so the following examples will show you how to divide a one-digit divisor into another number, and then how to find a remainder.Recall that the divisor in a division problem is the number that you’re dividing by. When you’re doing

42nd International Mathematical Olympiad 2001 Problems & Solutions

2010-12-13T18:11:00.000-08:00

A1. ABC is acute-angled. O is its circumcenter. X is the foot of the perpendicular from A to BC. Angle C ≥ angle B + 30o. Prove that angle A + angle COX < 90o. A2. a, b, c are positive reals. Let a' = √(a2 + 8bc), b' = √(b2 + 8ca), c' = √(c2 + 8ab). Prove that a/a' + b/b' + c/c' ≥ 1. A3. Integers are placed in each of the 441 cells of a 21 x 21 array. Each row

41st International Mathematical Olympiad 2000 Problems & Solutions

2010-12-13T18:05:00.000-08:00

A1. AB is tangent to the circles CAMN and NMBD. M lies between C and D on the line CD, and CD is parallel to AB. The chords NA and CM meet at P; the chords NB and MD meet at Q. The rays CA and DB meet at E. Prove that PE = QE. A2. A, B, C are positive reals with product 1. Prove that (A - 1 + 1/B)(B - 1 + 1/C)(C - 1 + 1/A) ≤ 1. A3. k is a positive real. N is an integer

40th International Mathematical Olympiad 1999 Problems & Solutions

2010-12-13T17:53:00.000-08:00

A1. Find all finite sets S of at least three points in the plane such that for all distinct points A, B in S, the perpendicular bisector of AB is an axis of symmetry for S. A2. Let n ≥ 2 be a fixed integer. Find the smallest constant C such that for all non-negative reals x1, ... , xn: ∑i

39th International Mathematical Olympiad 1998 Problems & Solutions

2010-12-12T18:32:00.000-08:00

A1. In the convex quadrilateral ABCD, the diagonals AC and BD are perpendicular and the opposite sides AB and DC are not parallel. The point P, where the perpendicular bisectors of AB and DC meet, is inside ABCD. Prove that ABCD is cyclic if and only if the triangles ABP and CDP have equal areas. A2. In a competition there are a contestants and b judges, where b ≥ 3 is an

38th International Mathematical Olympiad 1997 Problems & Solutions

2010-12-12T18:27:00.000-08:00

A1. In the plane the points with integer coordinates are the vertices of unit squares. The squares are colored alternately black and white as on a chessboard. For any pair of positive integers m and n, consider a right-angled triangle whose vertices have integer coordinates and whose legs, of lengths m and n, lie along the edges of the squares. Let S1 be the total area of the black part of

37th International Mathematical Olympiad 1996 Problems & Solutions

2010-12-11T00:28:00.000-08:00

A1. We are given a positive integer r and a rectangular board divided into 20 x 12 unit squares. The following moves are permitted on the board: one can move from one square to another only if the distance between the centers of the two squares is √r. The task is to find a sequence of moves leading between two adjacent corners of the board which lie on the long side. (a) Show that the

36th International Mathematical Olympiad 1995 Problems & Solutions

2010-12-10T03:00:00.000-08:00

A1. Let A, B, C, D be four distinct points on a line, in that order. The circles with diameter AC and BD intersect at X and Y. The line XY meets BC at Z. Let P be a point on the line XY other than Z. The line CP intersects the circle with diameter AC at C and M, and the line BP intersects the circle with diameter BD at B and N. Prove that the lines AM, DN, XY are concurrent.

35th International Mathematical Olympiad 1994 Problems & Solutions

2010-12-10T02:53:00.000-08:00

A1. Let m and n be positive integers. Let a1, a2, ... , am be distinct elements of {1, 2, ... , n} such that whenever ai + aj ≤ n for some i, j (possibly the same) we have ai + aj = ak for some k. Prove that: (a1 + ... + am)/m ≥ (n + 1)/2. A2. ABC is an isosceles triangle with AB = AC. M is the midpoint of BC and O is the point on the line AM such that OB is perpendicular

34th International Mathematical Olympiad 1993 Problems & Solutions

2010-12-10T02:45:00.000-08:00

A1. Let f(x) = xn + 5xn-1 + 3, where n > 1 is an integer. Prove that f(x) cannot be expressed as the product of two non-constant polynomials with integer coefficients. A2. Let D be a point inside the acute-angled triangle ABC such that ∠ADB = ∠ACB + 90o, and AC·BD = AD·BC. (a) Calculate the ratio AB·CD/(AC·BD). (b) Prove that the tangents at C to the circumcircles of ACD

33rd International Mathematical Olympiad 1992 Problems & Solutions

2010-12-08T22:54:00.000-08:00

A1. Find all integers a, b, c satisfying 1 < a < b < c such that (a - 1)(b -1)(c - 1) is a divisor of abc - 1. A2. Find all functions f defined on the set of all real numbers with real values, such that f(x2 + f(y)) = y + f(x)2 for all x, y. A3. Consider 9 points in space, no 4 coplanar. Each pair of points is joined by a line segment which is colored either

32nd International Mathematical Olympiad 1991 Problems & Solutions

2010-12-08T22:48:00.000-08:00

A1. Given a triangle ABC, let I be the incenter. The internal bisectors of angles A, B, C meet the opposite sides in A', B', C' respectively. Prove that: 1/4 < AI·BI·CI/(AA'·BB'·CC') ≤ 8/27. A2. Let n > 6 be an integer and let a1, a2, ... , ak be all the positive integers less than n and relatively prime to n. If a2 - a1 = a3 - a2 = ... = ak - ak-1 > 0, prove that n

31st International Mathematical Olympiad 1990 Problems & Solutions

2010-11-24T01:39:00.000-08:00

A1. Chords AB and CD of a circle intersect at a point E inside the circle. Let M be an interior point of the segment EB. The tangent at E to the circle through D, E and M intersects the lines BC and AC at F and G respectively. Find EF/EG in terms of t = AM/AB. A2. Take n ≥ 3 and consider a set E of 2n-1 distinct points on a circle. Suppose that exactly k of these points are