INDRAPRASTHA CONVENT SR.SEC.SCHOOL English Holiday
... Q1. Show that square of an odd positive integer is of the form 8q + 1, for some positive integer q. Q2. If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y, find y. Q3. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case. Q4. Check whether 5n can end wit ...
... Q1. Show that square of an odd positive integer is of the form 8q + 1, for some positive integer q. Q2. If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y, find y. Q3. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case. Q4. Check whether 5n can end wit ...
![Model factors and products [using arrays and area models.]](http://s1.studyres.com/store/data/014513253_1-149d2ec9436176aac8c5022197ba51df-300x300.png)
Fractions policy March 17
... same for all fractions, use the value of the N to compare and order the size Which is larger? ...
... same for all fractions, use the value of the N to compare and order the size Which is larger? ...
M1C3-PACKET
... is also a multiple of 4. Being careful not to count the same factor of 2 as both a multiple of 2 and a multiple of 4, we can be certain of only three factors of 2 along with the one factor of 3. From these factors we obtain the product, so 24 will always divide the product of four consecutive intege ...
... is also a multiple of 4. Being careful not to count the same factor of 2 as both a multiple of 2 and a multiple of 4, we can be certain of only three factors of 2 along with the one factor of 3. From these factors we obtain the product, so 24 will always divide the product of four consecutive intege ...
Lecture09 - Electrical and Computer Engineering Department
... Suppose we need to give a recursive definition for the sequence function. Recall, for example, that seq(4) = <0, 1, 2, 3, 4>. In this case, good old function “cons” doesn’t seem up to the task. For example, if we somehow have computed seq(3), then cons(4, seq(3)) = <4, 0, 1, 2, 3>. It would be nice ...
... Suppose we need to give a recursive definition for the sequence function. Recall, for example, that seq(4) = <0, 1, 2, 3, 4>. In this case, good old function “cons” doesn’t seem up to the task. For example, if we somehow have computed seq(3), then cons(4, seq(3)) = <4, 0, 1, 2, 3>. It would be nice ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.