Unidad 1Numbers Review

7/31/2019 Unidad 1Numbers Review

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Elena Santofimia

I.E.S. FERNANDO III EL SANTO / PROYECTO BILINGE A.N.L.: MATHS1

MATHS

UNIT 1: NUMBERS. REWIEW


OUTLINE ASPECTOS LINGSTICOS VOCABULARY

1. WHOLE NUMBERS. OPERATIONS:

A. ADDITION ANDSUBTRACTION -

MULTIPLICATION OFNATURAL NUMBERS.B. MULTIPLICATION AND

DIVISIONC. ARITHMETIC EXPRESSIONS

2. FRACTIONS. OPERATIONS

A. ADDITION ANDSUBTRACTION

B. MULTIPLYING FRACTIONSC. DIVIDING FRACTIONS

D. ARITHMETIC EXPRESSIONWITH FRACTIONSAPENDIX.POPULATION PIRAMID

TIPES OF POPULATIONPIRAMID

USES OF POPULATION PIRAMID

TO BE.PRESENTE SIMPLE.HAVE GOT.PARTCULASINTERROGATIVAS

THERE IS THERE AREADVERBIOS DEFRECUENCIA.PRONOMBRES OBJETO,PRONOMBRES SUJETO.EL POSESIVO S.

NUMBERS MULTIPLICATION ADDITION SUBTRACTION FACTOR PRODUCT DIVIDEND DIVISOR REMAINDER QUOTIENT BRACKETS TO CHECK WHOLE NUMBERS ADDITION SUBTRACTION MULTIPLICATION DIVISION BRACKETS NEGATIVE POSITIVE SIGN ABSOLUTE VALUES OPPOSITE TO REMOVE TO PUT FRACTION ADDING SUBTRACTING MULTIPLYING DIVIDING FRACTION

PHOETICS

/I: / / I/ /e /

/ / /: / / /


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1. WHOLE NUMBERS.Whole Numbers are all natural numbers, zero and natural numbers with a negative sign. The symbol forthem is .

= {. . . . ., 3, 2, 1,0,1,2,3, . . . . .}

OPERATIONS:A. ADDITION AND SUBTRACTION:

We are going to follow these next steps:1. Remove the brackets.2. Add the positive numbers together and the negative numbers together.3. Subtract the absolute values and then use the sign of the biggest number.

Example: 4 3 4 5= 4 34 5= 8 8= 0

B. MULTIPLICATION AND DIVISION:

How do we multiply whole numbers?1. Multiply the sign. We can use the rules of sign:

=

= =

=

2. Multiply the numbers without sign.

How do we divide whole numbers?1. Divide the sign. We can use the rules of sign:

: = : = : = : =

2. Divide the numbers without the sign.

Example:

12

2= 24rli

12 2=


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Elena Santofimia


MATHS


: =+1 2 : 2= 6

rli

12 2=

C. ARITHMETIC EXPRESSIONS:

For arithmetic expressions with whole numbers that use addition, subtraction, multiplication and division,

we use the following order of operations:1) Brackets and squared brackets.2) Multiplication and division.3) Addition and subtraction.

For example: 2 3 [ 52 1]= 2 3 [ 3 1]= 2 3 3 1= 2 3 4== 212= 212= 10

2. FRACTIONS.A fraction is an expression, such as:

a

b

Where a : the top (numerator), and b : the bottom (denominator)The meaning of the fraction is:

a is divided by b If I have b , I select a

OPERATIONS:

A. ADDITION AND SUBTRACTION:

1) When the numbers on the bottom are the same, we add the top and we maintain thesame number on the bottom.

2) When the numbers on the bottom are not the same: we use equivalent fractions tocreate the same denominator in all fractions. The new denominator must be theLowest Common Multiple of all denominators.

For example:


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Elena Santofimia


MATHS


3

5

1

4

=

3

5=

3 4

5 4=

12

20

14

= 1 54 5

= 520

lcm5,4= 20=12

20

5

20

=125

20

=17

20

B. MULTIPLYING FRACTIONS

Remember that to multiply fractions we multiply the top numbers together and the bottomnumbers together. For example:

3

4 3=

3

4

3

1=

3 3

4 1=

9

4

C. DIVIDING FRACTIONS.

Remember that to divide two fractions we must multiply the top of the first fraction by the bottomof the second fraction (the numerator of the answer) and multiply the bottom of the first fraction bythe top of the second fraction (the denominator of the answer)

For example:3

4: 3=

3

4:

3

1=

3 1

4 3=

3

12=

1

4 We must also simplify the answer.

D. ARITHMETIC EXPRESSION WITH FRACTIONS.

The order of operations is the same as with whole numbers:1)Brackets and squared brackets.2)Multiplication and division.3)Addition and subtraction.

For example:1

2

3

4 [13 :52 34]= 12 34 [13 :104 34 ]= 12 34 [13 : 74]= 12 34 1 43 7= 12 34 421 =

=1

2

3 4

4 21=

1

2

12

84=

42

84

12

84=

30

84=

5

14


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Elena Santofimia


MATHS


3. VOCABULARYVocabulary Pronunciation Translation

A

Absolute values sust. /'bslu:t/ /'vlju:/ Valor absolutoAdd /d/ Sumar

Addition sust. ['dn] Adicin; suma

Amount /'mant/ Cantidad

B

Brackets nombre /'brkt / Corchete

Bakery n. /'beikri/ Panadera

Bank balance sust. /bk//'blns/ Saldo bancarioBoth adjetivo /b/ AmbosBottom /'b:tm / || /'btm/ Abajo

C

Camp n. /kmp/ Campamento

D

Decimal sustantivo. /'desml / Decimal

Decrease /d'kri:s/ Descenso

Denominator /d'n:mnetr / DenominadorDifferent adjectivo /'dfrnt/ DiferenteDistance nombre /'dstns/ DistanciaDivide /d'vad / Dividir

Dividend sust. /'divdend / Dividendo

Division sust. / d'vn/ Divisin

Divisorsust. / d'vaisr/ Divisor

Dozen sust. /'dzn/ Docena

E

Equivalent /'kwvlnt/ Equivalente

F

Factorsust. /'fktr / Factor

Floor nombre /fl:r / PlantaFraction /frkn/ Fraccin

H

Handkerchiefsn. /'hkrti:vz/ Pauelos

Hundreds /'hndrds/ Cientos

I

Increase /n'kri:s/ AumentoIn front adverbio /n/ /frnt/ Por delante

M

Millions /'mljns/ Millones


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Multiplication sust. /'mltpl'ken / Multiplicacin

Multiply /'mltpla/Multiplicar

N

Negative adjetivo /'negtv/ Negativo

Numbersust. /'nmbr / Nmero

Numerator /njmretr/Nunerador

O

Ones /wns/ Unidades

Opposite adjetivo /':pzt / Contrario

P

Pairsust. /per / Par

Percentage /p'sentd/ PorcentajePositive adjetivo /'p:ztv / Positivo

Product sust. /'pr:dkt / Producto

Profit n. ['prft] Ganancias

Q

Quantity /'kw:ntti / Cantidad

Quotient sust. /'kwnt/ Cociente

R

Remaindersust. /r'mendr/ Resto

Representation nombre /'reprzen'ten/Representacin

S

Sale sust. /sel/ Rebajas

Same adjetivo /sem/ MismoSign sust. /san/ SignoSubtract /sb'trkt/ RestarSubtraction sust. /sb'trkn/ Resta

System sust. /'sstm/ Sistema

T

Team n. /ti:m/ Equipo

Temperature nombre /'temprtr / Temperatura

Tens /tens/ Decenas

Thousands /'aznds/ Miles

To Add verbo. /d/ Sumar

To Check v. /tek/ Comprobar

To Divide v. /di'vad / Dividir

To Multiply v. /'mltpla / Multiplicar

To Put verbo /pt/ PonerTo Remove verbo /r'mu:v/ Quitar

To Solve v. /s:lv / Resolver; Solucionar

To Split Up v. /splt/ /p/ Dividirse

To Subtract v. /sb'trkt/ Restar


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Elena Santofimia


MATHS


Top /top/Arriba

W

Whole Numbers sustantivo /hl/ /'nmbr / Nmero entero

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Unidad 1Numbers Review