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It can also include addition and multiplication using negative and positive numbers.

Q: Can growing patterns only involve multiplication and addition?

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When dividing by a fraction, the answer is obtained by multiplying by the reciprocal.

No. The Golden ratio is an irrational number: [1 + sqrt(5)]/2 = 1.6180, approx. It is found in many patterns - in nature as well as man-made.

Dividing fractions invole multiplacation because you can use it too see how many time's a number goes into another answer. And that is why dividing involves multiplacation.

No, algebra is not arithmetic. While both algebra and arithmetic involve numbers and mathematical operations, algebra is a branch of mathematics that goes beyond the basic arithmetic operations (addition, subtraction, multiplication, and division) to include variables, equations, and abstract mathematical concepts.

In multiplication and division of fractions, both involve multiplication. This is their similarity. In multiplication of fractions, multiply the numerator by the numerator of the other fraction and the denominator by the denominator of the other fraction. Example: 1/2 * 2/3 = 2/6 In division of fractions, reciprocate the divisor then follow the step in multiplying fractions. Example: 1/2 ÷ 2/3 = 1/2 * 3/2 = 3/4

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The two operations - addition and multiplication - are different and so their identities are different.

Not necessarily. Both methods involve work, so neither really is a shortcut for each other.

pheriphery patterns that involve culture

Not by necessity, but multiplication and division aredefined for negative numbers.

Growing of plants involve many chemical reactions.

When dividing by a fraction, the answer is obtained by multiplying by the reciprocal.

Plant growing involve physical and chemical changes.

It is used in evaluating almost all mathematical expressions. The only exceptions are ones which involve only addition and subtraction, or only multiplication and division, or are so trivial that the are expressed in BODMAS order.

Division

Adiabatic

Any advanced math (basically, anything beyond addition, subtraction, multiplication, and division) will be used mainly in engineering jobs. This is any career that has "engineering" in its name, and a few others that don't, such as economy and architecture.

Adding numbers led to wanting to "undo" addition, and thus the definition of subtraction. Subtraction is needed to help solve problems that involve addition, and addition is needed to help solve problems that involve subtraction. Multiplying numbers led to wanting to "undo" multiplication, and thus the definition of division. Division is needed to help solve problems that involve multiplication, and multiplication is needed to help solve problems that involve division. Raising numbers to powers led to wanting to "undo" exponentiation, and thus the definition of roots. Roots are needed to help solve problems that contain a constant exponent, and exponents are needed to solve problems that involve a constant root. Therefore, cube roots started as a way of solving problems that involved cubed quantities - such as volumes. A typical problem could be something like: if I wish to design a cube that will hold exactly 1,000 cubic inches of water, what must the length of each inside edge be? Since all three dimensions of a cube have the same length (L), this problem can be expressed mathematically by: L^3 = 1,000 and the only way to solve for L mathematically is to "undo" the third power (cube) by taking the cube root of both sides: L = 10