4 What is Division?÷204?5Division = Sharing or Grouping a Number in equal parts
5 What is Division?Dividing 2 numbers a and b, written as a ÷ b, is actually a repeated subtraction of the number a over b times.Example :20 ÷ 4 ?= = = 8 – 4 = 4 – 4 = 0We subtracted 4 five consecutive times, thus:20 ÷ 4 = 5
6 20 ÷ 4 = 5 Terminology Dividend: The number being divided ÷ =Dividend: The number being dividedDivisor: The number that will divide the dividend equallyQuotient: The result of the division
7 Division/Multiplication Division is the inverse operation of multiplicationSince 4 x 5 = 20 then 20 ÷ 4 = 5Division fact drill: 36 ÷ 9 = ? Find answer through multiplication: 9 x = 36
8 ExampleWe have 12 train enthusiasts. We want to divide them in 3 equal groups so they can ride in the three cars (#2). How many will ride in each car in total?12÷3=?
12 Use the Multiplication Table 123456789101214161815212427202832362530354045424854495663647281How can one calculate 20 ÷ 4 using a the multiplication table?
13 Multiplication Table (cont.) Dividend123456789101214161815212427202832362530354045424854495663647281DivisorFind the row that corresponds to the divisorFollow the row until you find the dividend
14 Multiplication Table (cont.) QuotientDividend123456789101214161815212427202832362530354045424854495663647281DivisorIdentify the column number where the dividend is located atThat column number is the quotient
15 Division Facts Dividing by 0 Numbers cannot be divided by 0 because it is impossible to make 0 groups of a number.Dividing by 1Any number divided by 1 equals that number. If you divide by 1 you have one group and so everything is in that group.
16 Multiplication/Division Inverse Table of 2 Division Facts (cont.)Multiplying and dividing by 2Multiplication/Division Inverse Table of 2X2=÷143685101271416918
17 Division Facts (cont.)Dividing is separating a number into several equal groups. When we divide 6 by 3 we are separating 6 into 3 equal groups of 2.There are two common ways to write the sign for division. The number 6 divided by 3 could be written as or 6 ÷ 3.36―
18 Final Division Problem Judith wants to divide a collection of pencils into groups of 8. Judith has 64 pencils. How many groups will be created?
19 Final Division Problem (cont) Is there feedback about the final problem?Discuss your solutions