TECHNIQUES OF ASWERING MATHEMATICS QUESTIONS YEAR 5PREPARED BY PN ZALINA BT YAACOB

WHOLE NUMBERSNUMBERS TO 1 000 000How to write numbers in words?In reading the number, the hundred thousands, ten thousands and thousand are read together, and the tens and ones are read together.

For example, 243 668 is read as

243 thousand 6 hundred and 68

Two hundred fourty-three thousand six hundred and sixty-eight.

WHOLE NUMBERSNUMBERS TO 1 000 000How to write the numbers in numerals?Find word thousands in the sentence and circle the word. Read the number before word thousand and write the answer then, read the number after word thousand and write the answer.

Example, Six hundred forty five hundred and thirteen. thousand

thousand640513

NUMBERS TO 1 000 000 Important wordscomparecount hundredsnumbersnumeralspartitionplace valuedigit valueextended notationlarger thanmore thansmaller thanless thandescending orderascending order

WHOLE NUMBERSROUND OFF NUMBERSRound off to nearest tens

723481048723= 723 480

WHOLE NUMBERSROUND OFF NUMBERSRound off to nearest hundred thousands

= 800 000773481800 000+1

WHOLE NUMBERSADDITIONSFind the total of 366 452, 181 676, 28 292 and 6 038. 366 452 181 676 28 292 + 6 038 582 458Write the numbers in vertical form, make sure that the numbers are arranged according to its place value and then, count the answer by quick calculation

ADDITIONS Important wordstotaladd estimateround offincreasesum

larger thanmore thansmaller thanless than

SUBTRACTIONSImportant wordsdifferencerejected estimateround offsubtractremaining

larger thanmore thansmaller thanless than

MULTIPLICATION Important tipsRemember 10 = 1 ten 100 = 1 hundred 1 000 = 1 thousand

So, 24 X 10 = 24 X 1 ten = 24 tens = 240 24 X 100 = 24 X 1 hundred = 24 hundreds = 2400

24 X 1000 = 24 X 1 thousand = 24 thousands = 24 000

MULTIPLICATION Important words

multiplytimes

MULTIPLICATION Important tips The table below shows 1 532 X 43 using lattice multiplication.200409060812031566587From the table, the product is 65 876.

1532X43

DIVISIONImportant tips12 345 10 = 1 234 remainder 512 345 100 = 123 remainder 4512 345 1000 = 12 remainder 345

Tips 10 has 1 zero, so last 1 digit is the remainder.100 has 2 zeros, so last 2 digit is the remainder.1 000 has 3 zeros, so last 3 digit is the remainder.

DIVISION Important words

dividedividendivisiondivisor

equallyremainderquotient

MIXED OPERATIONS Important tipsCalculations involving multiplication and division or addition and subtraction in the same number sentence are done from left to right.

24 705 X 4 15 9 446 3 569 + 484If operations are mixed, you must calculate by this arrange:

bracket, times, devide, plus, minus ( ), X , , + , -Example , 445 + 56 6 =

DECIMALS Important tips= 0.3= 0.03= 6.003000600 read as zero point three

read as six point zero zero three

read as zero point zero three

DECIMALS Important tips21.85721 is whole numbers= 218 is 8 tenths= 7 is 7 thousands=

DECIMALS Addition and subtractionTo add or minus the decimal numbers, it is easier to perform in vertical form.Make sure the decimal points are aligned vertically.Example, 3.1 + 4.665 =

7.765+ 4.6653.100Zeros added to be consistent

DECIMALS Multiplication Arrange in vertical formMultiply one digit at a time, regroup whenever necessaryRetain the number of decimal places as the decimal number

7.03X 321.09

DECIMALS MultiplicationWhen multiplying by multiple of 10, 100 and 1 000The original figure remains unchangedMove the decimal point one, two or three places to the right.

2.136 X 10 = 1.014 X 100 =5.47 X 1000 =021.36101.45470.

DECIMALSDivisionArrange in vertical form Divide from left to rightRegroup/ decompose whenever necessary.Make sure the decimal point for the quotient is aligned vertically with the decimal point for the dividend.

45 8 =

405.625504816204040

DECIMALSDivisionWhen dividing decimal numbers by a multiple of 10,100 or 1 000,

move the decimal point one, two or three places to the visit.52.7 10 = 5.27341.8 100 = 3.4180 056 1000 = 0.056

LENGTHBASIC MEASUREMENTmm cm m km 10 100 1000x 10x 1000x 100

RELATIONSHIP BETWEEN UNITS 1 kg1000 g 1 l1000mlXX

300 531632 001+ 94 349726 350