Short Circuit Current Calculation Theory & Techniques (3).pdf
calculation Techniques in numbers.ppt
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Transcript of calculation Techniques in numbers.ppt
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Calculation Techniques in Numbers
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7MATHEMATICS+3-58=NUMBER AND OPERATION
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hy it isWimportant?
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Analysis UPSR Mathematics Paper Topic
Whole NumberOpr. + - Mixed OperationFractionsDecimalMoneyTimeLengthMassVolume of LiquidShape & SpaceAveragePercentageData HandlingTotal
The number of questions according to year.2000
Paper
1 2 2 3 1 1 1 1 5 3 3 2 6 1 2 2 3 2 1 1 2 - 6 2 2 1 3 1 3 -40 20
2001
Paper
1 2 2 2 1 2 2 1 5 2 5 2 5 1 2 3 1 1 1 1 2 1 6 2 2 1 3 1 3 -40 20
2002
Paper
1 2 2 2 2 3 3 2 3 2 4 2 4 1 3 1 3 1 3 1 2 1 4 2 2 1 3 1 2 -40 20
2003
Paper
1 2 3 2 1 2 3 1 3 4 2 1 1 2 4 1 4 1 4 2 3 1 5 2 - 1 3 - 4 -40 20
2004
Paper
1 2 1 2 2 1 2 2 4 2 3 1 5 3 4 1 4 - 2 2 3 1 4 2 2 1 2 2 2 -40 20
2005
Paper
1 2 2 1 2 - 3 1 3 3 3 1 5 2 3 2 3 - 3 3 3 1 4 3 1 1 2 2 3 -40 20
2006
Paper
1 2 1 1 3 - 1 2 4 2 3 1 4 1 3 2 1 1 2 2 4 - 5 3 2 2 4 3 3 -40 20
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One million two hundred thirty-four thousand five hundred and sixty-seven.1. Read numbersNUMBER
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2. Write numbersNUMBERb) In numeralExample :Five million eleven thousand and seventy.
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3. Value of NumberNUMBER
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Partition the number4. PARTITIONExample :3 094 2573 000 000 + 90 000 + 4000 + 200 + 50 + 7
7 + 50 + 200 + 4000 + 90 000 + 3 000 000
4000 + 7 + 3 000 000 + 50 + 200 + 90 000
3 millions + 9 ten thousands + 4 thousands + 2 hundreds + 5 tens + 7 ones Write the number in extended notationNUMBER
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5. Form the NumberThe smallest number452093If there is the zero digit, put it after the first bigger numberthan Zero.NUMBER
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6. Arrange the NumberNUMBER
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7. Same ValueNUMBER
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8. Compare the Number 35 965 and 35 659Example :NUMBER
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NUMBER
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Round off to the nearest hundreds 4 5 7 0 07 1 4 5 7 2 8 7 3 7 4 7 5 7 6 7 7 7 8 7 9 4 5 8 0 0NUMBER
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Round off to the nearest ten thousands 1 3 5 0 0 0 05 1 5 2 5 3 5 4 5 5 5 6 1 3 5 7 4 9 25 8 5 9 1 3 6 0 0 0 0NUMBER
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4+9-27=Lets have fun with the number!
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BASIC FACT - ADDITIONADDITION
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315+ 12ADDITION83 64+ 79
16+ 211012+ 07
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41213642130811 106931803391ADDITION1512201705211018
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1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11+ 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 =210 Find the Pairs of TenADDITION
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2 356 709647 935768 1711 452 355+ 84 953
3222130313325ADDITIONFind the Pairs of Ten
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CUTTING SYSTEM432111313312ADDITION0331835771811511
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GIMMICK NUMBERDo you want to know how to SUBTRACT FASTER?Lets do it together
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Cutting SystemOrdinary way162611875648311010102310101024
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Pairs of TenOrdinary way10022SUBTRACTION614148260823
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Less 110 - 1 = 9100 - 1 = 991000 - 1 = 9991000 1 678 - 1 2SUBTRACTION999 - 67723
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Ordinary way27 642 12 327 42808 12 9374 52035 15 45 MULTIPLICATION+ 2618 0 3 10 7 8 6 4
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9374 512468 4123456 7
MULTIPLICATION20 35 15 45 7 8 6 4 32 24 16 08 04 0 2 7 8 9 4 42 35 28 21 14 07 2 9 1 4 6 8
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2D 2D3282 88 721636 34 122457 53 3021MULTIPLICATION4256242305
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LATTICEMULTIPLICATION281644242403112D 2D
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LATTICEMULTIPLICATION3D 2D2438121
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BASIC FACT MULTIPLICATIONIntroduce that:2a b = b aExample :2 3 = 3 24 5 = 5 4? 0 = 0? 1 = the number itselfMULTIPLICATION
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Train pupils to do Skip Counting3Introduce the Repeated Addition42, 4, 6, 8, .4, 8, 12, 16, ..7, 14, 21, 28, 2 + 2 + 2 + 23 + 3 + 3 + 3 and etc.Introduce the MultipurposeMultiplication Table*MULTIPLICATION
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MMT (Multipurpose Multiplication Table)MULTIPLICATION
1234567892468101214161836912151821242748121620242832365101520253035404561218243036424854714212835424956638162432404856647291827364554637281
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Train pupils with number patterns5Times 6, 7, 8 DIFFICULT ?Use multiplication table that pupils know.60, 4, 8, __, 16, __, 24, 28, __, __, 40, 44, ..
Example : 8 7( 8 5) + ( 8 2 )MULTIPLICATION40 + 16 = 56
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FINGER MULTIPLICATION TIMES 9Example: 4 x 9 =Bend the fourth finger on your left hand. So, the three fingers on the left from the bent finger and the six fingers on the right give the answer, that is 36.
LETS TRY: 7x9 6x9 3x9 2x9 8x9 5x9
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2D X 9Multiplication of two digits number to number 9 can be done with fingers, BUT the value of tens digit must less than ones digit.HOW ?
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The value of tens digit must be less than ones digitExample:=9++324
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The value of tens digit equals to ones digitExample:=1 8++69377 9 = +=9
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The value of tens digit is more than ones digitExample:=1 8++65773 9 = +=9
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Multiplication Finger for multiplication table 6, 7, 8, 9.ASSUME THAT: Little finger = 6 Ring finger = 7 Middle finger= 8 Pointer finger= 9
HOW ?
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ARITHMATICS WAY
15
+10
115
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ARITHMATICS WAY
49
35
42
+28
32599
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ARITHMATICS WAY
36
16
27
+12
1666
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ARITHMATICS WAY
36
48
18
06
08
+03
6176
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Can you remember ..?
Teachers. No problem
PUPILS ?
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Can we find the product, if we only know timestable 2?example: 8 x 7 @ 23 x 8 @ 19 x 23 @ 120 x 24
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RUSSIAN MULTIPLICATION
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DIVISION12 39- 36- 33- 304 DIVISION4
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2D 1D3D 1D1117 21- 714 - 77- 702907 644-63014-140DIVISION
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Division of 2D
24 4397 - 24 199 - 192 77- 725
24DIVISION224681012141618448121620242832362424487296120144168192216
1234567891 8 3
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OBJECTIVE QUESTIONDIVISION
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S A M D O B REMEMBER!BASIC RULES The solution must follow the basic counting/sequence.ofDivide
Muptiply
Add+
Subtract-1234COUNTING34Is a familyIs another familySolution: Must follow the rules.MIXED OPERATIONBracket( )
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Question:How to arrange the below symbols to form the correct mathematics sentence?
Answer3 3 3 3 + - x= 103333+_x
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Fun & Easy
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FUNCONVERTQuestion : Convert 8.03km to m / 8.03km = ________m
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FUNCONVERTQuestion : Convert 8.03km to m / 8.03km = ________m
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FUNCONVERT8030m8.030km8km 030mQuestion : Convert 8.03km to m / 8.03km = ________m0
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ADDITION1+FUN7056g7.056kg7kg 56g
KmKgmgm242546317056
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101-SUBTRACTIONFUN2083m2.083km2km 83m
KmKgmgm721951362083
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FUNDecimal point
475cm4m 75cm4.75m
RM4.75475sen4.75m
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PPK KPM
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PPK KPM
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SEE YOU NEXT TIMEInsyaallah ,Thank YouTerima KasihSyukran