... TG: Call Vocabulary time and present Months of the year And ask them when is their birthdays Put a sentence on the board: My birthday is on Set a model and ask each student 5) Answer ... Answer the questions below TG: Draw a blank calendar on the board showing the days and weeks of november Explain and count the seven days of the week Vocabulary: time = days of the week Monday;...
... digits of the following numbers a) Forty-seven b) Thirteenth c) Ninth d) Eighty e) Seven hundredth Write the following numbers a) 69th ... 120 g) 96 th h) 180 _ 99th 70th 112th Now, listen to five numbersand cross them out (X) Write the missing one on the line a) 23 56 26 12 17 _ th st th ... 69th b) 58th c) 3rd _ d) 29 Listen to one number and cross it out (X) a) 13 23 33 30 nd nd th b) 82 92 28 29th c) 18 80 81 108 d) 60th 50th 30th...
... You can use a number line Some other examples of decimals include: DecimalsDecimalsDecimalsDecimals less than -1: between -1 and 0: between and 1: greater than 1: -123 = -123.0 decide between ... variables to be the digits in A and B: x and y of x and y: x is in the tens place, and y is in the units place) and y stand for digits A is therefore the sum of x tens and y A = lOx +y =1lEJ Since ... Comparing Fractions: Cross-Multiply i Never Split the Denominator ! Benchmark Values • Smart Numbers: Multiples of the Denominators When Not to Use Smart NumbersFRACTIONS STRATEGY Chapter FRACTIONS Decimals...
... integers and I 6.3 13 Digits & Decimals Some other examples of decimals include: Decimals less than -1: Decimals between -1 and 0: -3.65, -12.01, -145.9 -0.65, -0.8912, -0.076 Decimals between and ... sepa /8 rately and combine them at the finish: (256)1 x ( 10_8)1 = x 10"1= /8 /8 M ANHATTAN GMAT Fractions, Decimals, & Percents Fractions Numerator and Denominator Rules Simplifying Fractions Converting ... example: Fractions —= 1— 4 » = 6I “ =3^ ^ = 10-1 10 10 Although the preceding examples use positive fractions, note that fractionsand mixed numbers can be negative as well Numerator and Denominator...
... a/one hundred 100th a/one hundredth 100 a/one thousand 1000th a/one thousandth WHAT’S THE DATE? 01/03/2012 It’s the first of March two thousand and twelve 02/04/2000 ... CARDINAL NUMBERSORDINALNUMBERS oh, zero, nought - one 1st first two 2nd second three 3rd third four 4th fourth...
... calculate dλ and dη by the hook formula, fill λ = λ( ) and η with their respective hook numbers In both, examine the ith row from the bottom - with their respective hook numbers Divide η into B1 and B2 ... sµ (x1 , x2 , · · ·) is the corresponding Schur function, and sµ (1, · · · , 1) is the number µ1 of (semi-standard, i.e rows weakly and column strictly increasing) tableaux of shape µ, filled ... SR(µ), R and µ with their hook numbers For example, when µ = (4, 2, 1) 3 SQ(4, 2, 1) : 4 SR(4, 2, 1) : R(4, 2, 1) : – – 5 4 3 1 the electronic journal of combinatorics no.1 (1997), #R22 and (4,...
... q-Eulerian numbers For q = they reduce to the Eulerian numbers of type B, and for q = they reduce to the ordinary Eulerian numbers Color-signed permutations From the definition of the q-Eulerian numbers, ... = #{i ∈ [n] : πi < 0} and def P (π) = n − N(π) The well-known Eulerian numbers Ank count permutations in Sn with k descents Similarly, Eulerian numbers of type B are the numbers Bnk of signed ... integer and let σ denote the golden ratio ( − 1)/2 Then ∞ n n−1 (1) m (2m + 1) σ m+2 =σ m=1 −2n bnk σ k , k=1 where the numbers bnk are defined by b1,1 = 1, bnk = for k ≤ and for k > n, and the...
... contradicting Observation Hence, v6 and v8 have a common neighbor, and so G = F11 Suppose secondly that v5 and v6 , or v7 and v8 , have a common neighbor We may assume that v5 and v6 have a common neighbor; ... Plummer, Factors and Factorization 403–430 Handbook of Graph Theory ed J L Gross and J Yellen CRC Press, 2003, ISBN: 1-58488-092-2 [11] W R Pulleyblank, Matchings and Extension 179–232 Handbook of ... joining {v5 , v6 } and {v7 , v8 } Since each of v5 and v6 is at distance from a degree-4 vertex (namely, v3 and v4 ), d(v5 ) = d(v6 ) = by Observation Further for i ≥ 9, d(v, vi) ≥ 3, and so, by Observation...
... over the complex number but not the real numbersand over the real numbers but not the rational numbers We use these ideas to construct two matrices, and from these matrices, patterns that have ... if and only if G is a F complete graph, and mr(SG ) = |G| − if and only if G is a path The latter statement is a consequence of Fiedler’s Tridiagonal Matrix Theorem (proved over the real numbers ... linearly dependent, and thus there is a cycle of V containing j and contained in {1, 2, , k, j} Hence, there is a row of CV with a ∗ in column j, and 0s in all positions with > k and = j The result...
... product of any path and any star, resolving a longˇc standing conjecture by Jendro´ and Sˇerbova in [12] Besides, it has also been helpful l for other works concerning exact crossing numbers (as in ... function of the graphs G1 and G2 at vertices v1 and v2 The zip product of G1 and G2 according to σ is the graph G1 ⊙σ G2 obtained from the disjoint union of G1 − v1 and G2 − v2 after adding edges ... product of graphs Gx and Gy , respectively obtained from t s Gs and Gt by adding a vertex x or y and connecting it to the endvertices of C in Gs or Gt By Menger’s theorem, x and y each has a bundle...