Practice Indonesian Matematics For Elementary School 

 

   Operation of Integers

1. The nature of commutative or exchange

The commutative nature of the sum
general form formula: a + b = b + a

Example:

7 + 8 = 8 + 7 = 15

20 + 15 = 15 + 20 = 35


The commutative nature of multiplication

general form formula: a x b = b x a

Example:

4 x 5 = 5 x 4 = 20

12 x 3 = 12 x 3 = 36

2. Associative Properties or Grouping


The associative nature of the sum

general form: (a + b) + c = a + (b + c)

Example:

(12 + 3) + 7 = 12 + (3 +7)

15 + 7 = 12 + 10

22 = 22


Associative properties of multiplication

general form: (a xb) x c = a x (b x c)

Example:

(4 x 3) x 5 = 4 x (3 x 5)

12 x 5 = 4 x 15

60 = 60

3. Distribution or Distribution


Distributive property of multiplication to addition

the general form formula is: a × (b + c) = (a × b) + (a × c)

Example:

3 x (5 + 7) = 3 x 5 + 3 x 7

    = 15 + 21

    = 36


Distributive property of multiplication against subtraction

Example:

3 x (9 - 2) = 3 x 9 - 3 x 2

    = 27 - 6

    = 21
    Operation Compute Mixed Numbers

 Terms of operation count:

- If there are brackets that work inside the brackets first

- if there are no brackets, multiplication and division (selevel) in the first place on the addition and subtraction (selevel)


Example:

7500 - 30 × 50: 3 + 250

= 7500 - 500 - 250

= 6750


336: 12 x 20 - (235 + 146)

= 336: 12 x 20 - 381

= 28 x 20 - 381

= 560 - 381

= 179

   

KPK and FPB on Two and Three Numbers

Determine the FPB of two numbers

How to determine FPB two numbers

- Find the pad factor of each number

- Determine the fellowship factor of both numbers

- Multiply the partnership factor (same factor) which has the lowest rank


18 = 2 x 3 ²

27 = 3³

-----

the same factor is 3, the smallest of which is 3 ² = 9


Determine the KPK of two Numbers

How to determine KPK two numbers

- Find the prime factor of each number

- multiply all factors, the same factors are chosen high rank

Example

KPK 12 and 15

Prime Factor

12 = 2 × 3

15 = 3 x 5

KPK = 2² x 3 x 5 = 60

for KPK and FPB 3 the same number of ways.

    Define Square Root 3 Cubic Numbers

1³ read one rank of three = 1 × 1 × 1 = 1


2³ read two cubits = 2 × 2 × 2 = 8


3³ reads three power of 3 = 3 × 3 × 3 = 27


4³ reads four power three = 4 × 4 × 4 = 64


5³ reads five power of three = 5 × 5 × 5 = 125


1, 8, 27, 64, 125, and so on are cubic or powers of 3

Addition and Reduction


2³ + 3³ = (2 × 2 × 2) + (3 × 3 × 3)

= 8 + 27

= 35



6³ - 4³ = (6 × 6 × 6) - (4 × 4 × 4)

= 216 - 64

= 152

Multiplication and Division


2³ × 4³ = (2 × 2 × 2) × (4 × 4 × 4)

= 8 × 64

= 512


6³: 2³ = (6 × 6 × 6): (2 × 2 × 2)

= 216: 8

= 27

Volume and Time

Volume Unit Relation
volume relationship
Example
1 m3 = 1,000 dm3 = 1,000,000 cm3 = 1,000,000,000 mm3
1,000,000,000 m3 = 1,000,000 dam3 = 1,000 hm3 = 1 km3


Time Unit

1 century = 100 years
1 windu = 8 years
1 year = 12 months
1 year = 52 weeks
1 month = 4 weeks
1 month = 4 weeks
1 week = 7 days
1 decade = 10 years
1 decade = 10 years
1 millennium = 1000 years
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds

Calculate Broad Width Flat


Build Broad Formulas
Rectangle L = Length x Width
Jajar Genjang L = Alas x Height
Split the Lupe = ½ x d1 x d2
Kite L = ½x d1 x d2
Trapezoidal L = ½ t × (a + b)
Triangle L = ½ base x height
Square L = side x side = s2
Circle L = phi x r2
Volume Formulas Build Classroom 6 SD
Name Build Room Volume Formula
Prime vertical triangle V = base area x Height
Tubes V = phi r2 x t

Data Ordering

6 8 7 5 9 8 8 6 9 7
10 6 6 8 8 7 7 5 5 10
4 5 9 9 5 4 4 5 6 10

If sorted by table and frequency becomes
Value of Amount (Frequency)
4 3
5 6
6 5
7 4
8 5
9 4
10 6
Total 30
Interpreting Data:

- The Smallest Value
- Largest Value
- Average Value, and so on


Counterfeit operations
Simplifying Fractions

Simplifying the fractions can be done by dividing the callers and denominators by using the same number of examples:

simplification of fractions
Sorting Fractions

The rare-step sort of fractions
--Save a denominator of the fraction to be sorted
- Equalization can be done by using KPK
- If the denominator is the same, simply sort the numerator from the smallest or the largest.

ngurutin fractions from small or from large
Converting a Fractional Form to a decimal and vice versa

Make the denominator a multiple of ten and then pull the left coma according to the zero in the denominator

examples change fractions to decimals

For more details on how to quickly convert a regular fraction to a decimal number or vice versa can my friend read on change fractions.
Multiplying Fractions with an Integer

Example:

multiply fractions by integers
Summing and Subtracting Fractions

To be able to add and subtract fractions first equate the denominator.

addition of fractions

fraction reduction
Multiply and Divide Fractions

Multiplying fractions is pretty easy. The numerator is multiplied by the numerator. The denominator multiplied the denominator. If simplified then simplify it.

multiplication of fractions
The fractional division is equal to multiplying by the inverse of the dividing number of the divisor.
division of fractions

Scale

    Scale Formula = Distance on image (map) / actual distance
    Actual Distance Formula = Distance on image (map) / scale
    Rumu Jarka on the picture = Actual distance x scale

Coordinate System

    A cartesius coordinate field is formed by two axes. Straight axis (y-axis) and horizontal axis (x axis).
    From the vertical axis up and the horizontal axis to the right has a positive value.
    From the vertical axis point downward and the horizontal axis to the left has a negative value.
    Finding the coordinate point of an object is obtained by finding the location on the x axis to the right or to the left with the position on y axis up or down.
    The x-axis is also called the abscissa (x) and the y-axis is called the ordinate (y).

Processing and Presenting Data

Average: Average sought by summing all samples divided by the number of samples.
Maximum Value: Is the highest value of all existing data.
Minimum Value: The smallest or lowest value of all data.
Mode: The most value appears
Presentation of data can be done with the form:
presentation of data in the form of a pie chart

presentation of data in the form of a pie chart

a. Table
b. Bar chart
c. Circle Diagram
d. Other Forms