Question

Can 40 be written in the form of (10a+b) ?​

Answer 1

Answer:

Fluency with addition, subtraction, multiplication and division of whole numbers

and fractions.

Ability to apply the any-order principle for multiplication and addition (commutative law and associative law) for whole numbers and fractions.

Familiarity with the order of operation conventions for whole numbers.

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MOTIVATION

Algebra is a fascinating and essential part of mathematics. It provides the written language in which mathematical ideas are described.

Many parts of mathematics are initiated by finding patterns and relating to different quantities. Before the introduction and development of algebra, these patterns and relationships had to be expressed in words. As these patterns and relationships became more complicated, their verbal descriptions became harder and harder to understand. Our modern algebraic notation greatly simplifies this task.

A well-known formula, due to Einstein, states that E = mc2. This remarkable formula gives the relationship between energy, represented by the letter E, and mass, represented by letter m. The letter c represents the speed of light, a constant, which is about 300 000 000 metres per second. The simple algebraic statement E = mc2 states that some matter is converted into energy (such as happens in a nuclear reaction), then the amount of energy produced is equal to the mass of the matter multiplied by the square of the speed of light. You can see how compact the formula is compared with the verbal description.

We know from arithmetic that 3 × 6 + 2 × 6 = 5 × 6. We could replace the number 6 in this statement by any other number we like and so we could write down infinitely many such statements. All of these can be captured by the algebraic statement 3x + 2x = 5x, for any number x. Thus algebra enables us to write down general statements clearly and concisely.

The development of mathematics was significantly restricted before the 17th century by the lack of efficient algebraic language and symbolism. How this notation evolved will be discussed in the History section