The properties of the division operation

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Presentation transcript:

The properties of the division operation

Calculate fast 2×5= 4×5= 6×5= 8×5= 10×5= 10 100 20 200 30 300 40 400 20×5= 40×5= 60×5= 80×5= 100×5= 2×5= 4×5= 6×5= 8×5= 10×5= 10 100 20 200 30 300 40 400 50 500

2×10= 4×10= 6×10= 8×10= 10×10= 20 2×25= 4×25= 8×25= 10×25= 50 40 100 60 200 80 100 250

The children went in 5 groups to plant trees The children went in 5 groups to plant trees. There are 2 children in each group. They planted 30 trees in total. Q: How many trees are they planted per person? 30÷5÷2 30÷5÷2 =6÷2 =30÷（5×2） =30÷10 =3 =3 = 30÷5÷2 30÷（5×2）

Do the calculations below have the same answer? Please try! 100÷25÷4 100÷(25×4) 18÷3÷2 18÷(3×2) What do you find? a÷b÷c=a÷(b×c) b≠0,c≠0

Fill the sign of operation in the circle 56÷ 7÷ 8＝56 （7 8） 15 3 5＝15 ÷(3×5） 24 4 ÷ 6＝24 ÷(4 6）

Fill the right number in the box 30÷ ÷ ＝30 ÷(2 ×5) 48÷( ×3)＝ ÷4 ÷3

Is it right? Can you correct their working? 14÷（2×7 ）＝14÷2×7 ＝7×7 ＝49 What do you think? Can you correct their working?

True or false × × √ （1）100÷（25×4）＝100÷25×4 （）（2）40÷（4×5）＝40÷4×5 （）（1）100÷（25×4）＝100÷25×4 （） × （2）40÷（4×5）＝40÷4×5 （） (3) 54÷（3×3）=54 ÷3 ÷3 （） √

Can all formulae be calculated faster by using today's knowledge? Which one is faster? 140÷7÷4 140 ÷（7×4） What do you find? Can all formulae be calculated faster by using today's knowledge?

Look at the numbers carefully! Tell me about your findings. 100÷25÷4=100÷(25 ×4） 15÷ 3 ÷5＝15 ÷(3×5） 24÷ 4 ÷6＝24 ÷(4×6）

Who can calculate these faster? 1200÷25÷4 680÷17÷4