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
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