Elementary 1 6 Grade Induction on the operation of numbers

Induction of the operation of numbers.

1. The relationship between the four operations.

Addition + Addition = Sum - Addition = Addition.

Minus - Minus = Difference Minus - Difference = Minus Minus + Difference = Splashed.

Factor x Factor = Product Factor = Factor.

Dividend Divisor = Quotient Dividend Quotient = Divisor Divisor x Quotient = Dividend.

Quotient x divisor + remainder = dividend.

Second, the order of operations.

Multiply and divide first, then add and subtract, and count the brackets first (first count the brackets in the brackets, and count the brackets in the calculation).

3. The law of arithmetic and its generalization.

1.Addition: The commutative law of addition: a+b=b+a

Additive associative law: (a+b)+c=a+(b+c).

Generalization: Add multiple numbers, first combine several of them into a group of adds, and then add the obtained sum with the rest of the additives, and their sum does not change.

2.Multiplication: The commutative law of multiplication: axb=bxa

Multiplicative associativity: (axb)xc=ax(bxc).

Generalization: Multiplication of multiple numbers, first combine several numbers into a group of multiplication, and then multiply the resulting product with the rest of the numbers, and their product remains the same.

Multiplicative distributive property: (a+b)xc=axc+bxc

Promotion: (a-b)xc=axc-bxc (a-b+c)xd=axd-bxd+cxd

Fourth, the nature of the operation and its generalization.

1.Subtractive properties: a-(b+c)=a-b-c

Promotion: a-(b-c)=a-b+c a+(b-c)=a+b-c

2.Division properties: a (bxc) = a b c

Promotion: a(b c)=a bxc ax(b c)=axb c

5. Changes in sum, difference, product and quotient.

1.And: If a+b=c, then (a+m)+(b-m)=c(a+m)+(b-n)=c+m-n

2.Poor: If a-b=c, then (a+ -m)-b=c+ -m a-(b+ -m)=c- +m (a+ -m)-(b+ -m)=c

3.Product: If axb=c, then (axm)x(b m)=c (axm)x(b n)=cxm n

4.quotient: If a b=c, then (ax m) b=cx m a (bx m)=c xm (ax m) (bx m)=c

The following are the math formulas and constants commonly used in elementary school:

1.Addition formula: a + b = c

2.Subtraction formula: a - b = c

3.Multiplication formula: a b = c

4.Division: a b = c

5.Square formula: a = b

6.Prescribing formula: a = b

7.Percentage formula: a% = b 100

8.Fractional formula: a b

9.The circumference of a circle is a large formula: c = 2 r (where is pi, which is approximately equal to 10.)The formula for the area of a circle: s = r

11.The formula for the perimeter of the rectangle: c = 2 (a + b) 12The formula for the area of a rectangle: s = ab

13.The formula for the circumference of a triangle: c = a + b + c14The formula for the area of the triangle: s = 1 2 base height.

In primary school, in addition to the commonly used mathematical formulas and constants mentioned above, some basic mathematical concepts, operation symbols and notation rules will be learned. This knowledge is the foundation for learning high school mathematics and college mathematics, and plays an important role in the further development of mathematics learning.

1.Primary function formula: y = kx + b

2.Quadratic function formula: y = ax 2 + bx + c

3.The formula for calculating the area of a circle: s = r 2

4.The formula for calculating the circumference of a circle: c = 2 r

5.The formula for calculating the area of a triangle: s = 1 2bh (where b is the base and h is the height).

6.The formula for calculating the perimeter of a triangle is: c = a + b + c (where a, b, and c are the lengths of the three sides, respectively).

7.Trigonometric formula: sin = opposite edge hypotenuse, cos = adjacent edge hypotenuse, tan = opposite edge adjacent edge.

8.Squared Difference Formula: (a+b)2 = a2 + 2ab + b2, (a-b)2 = a2 - 2ab + b2

9.The first sale stock theorem: A2 + B2 = C2 (where c is the hypotenuse and A and B are right-angled edges).

10.Proportional Celery function formula: y = kx (k is constant, xy is proportional).

Hope these formulas help you.

1.Primary function formula: y = kx + b

2.Quadratic function formula: y = ax 2 + bx + c

3.The formula for calculating the area of a circle: s = r 2

4.The formula for calculating the circumference of a circle: c = 2 r

5.The formula for the area of the triangle is s = 1 2bh (where b is the base and h is the high).

6.The formula for calculating the perimeter of a triangle is: c = a + b + c (where a, b, and c are the lengths of the three sides, respectively).

7.Trigonometric formula: sin = opposite edge hypotenuse, cos = adjacent edge hypotenuse, tan = opposite edge adjacent edge.

8.Squared Difference Formula: (a+b)2 = a2 + 2ab + b2, (a-b)2 = a2 - 2ab + b2

9.Pythagorean theorem: A2 + B2 = C2 (where C is the hypotenuse and A and B are right-angled edges).

10.Proportional function formula: y = kx (k is a constant, xy is a positive state proportional relationship).

Hopefully, these formulas will help you.

The formula for the circumference of the rectangle: c=2(a+b).

Rectangle area formula: s=ab

Square circumference formula: c = 4a

Square area formula: s=a squared.

The trapezoidal area formula: (a+b)h2

Triangle Area Formula: AH2

Circumference formula: d

Circle Area Formula: r squared.

Formula for the area of the ring: (r-squared—r-squared).

Box Area Formula: ABH

Cube area formula: a cube.

The formula for the area of the cone: 1 3 r square h

Cylinder area formula: dh (side area) + 2 (r squared) why is there no reward points, stingy!! It's a call! ）