snowlovelydayM

2021-02-25

What does it mean to say that algebra is a written language? How would I express an algebraic expression such as for example, numerator $3{x}^{2}+5y$ and 2 as the denominator, in words?

Alix Ortiz

Skilled2021-02-26Added 109 answers

Step 1

To explain the connection (in algebra) between the written and symbolic language

Step 2

Historically, problems (in algebra, or arithmetic or geometry) were expressed completely as word problems in the corresponding languages (Greek, Latin, Arabic,...). It was only much later that symbols were introduced and mathematrical expressions began to be expressed in the compact symbolic form that we are used to. Even operations like addition,multiplication (+, -, * ,/) were expressed only in words (plus, minus,...). In fact , the history of algebraic notation is a fascinating and important subject of research on its own

Step 3

Powers like${x}^{3},{x}^{2},{x}^{\frac{1}{2}}\left(\u25fb\sqrt[o]{f}x\right)$ were also expressed as words (cubus, quadratum ). , radix quadrata,.

Step 4

ANSWER: Coming to the present problem, the expression displayed would be described in words as "Three times the square of x plus five times y , the whole divided by 2"

$\frac{3{x}^{2}+5y}{2}$

To explain the connection (in algebra) between the written and symbolic language

Step 2

Historically, problems (in algebra, or arithmetic or geometry) were expressed completely as word problems in the corresponding languages (Greek, Latin, Arabic,...). It was only much later that symbols were introduced and mathematrical expressions began to be expressed in the compact symbolic form that we are used to. Even operations like addition,multiplication (+, -, * ,/) were expressed only in words (plus, minus,...). In fact , the history of algebraic notation is a fascinating and important subject of research on its own

Step 3

Powers like

Step 4

ANSWER: Coming to the present problem, the expression displayed would be described in words as "Three times the square of x plus five times y , the whole divided by 2"

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