WHAT IS EXPRESSION DECODING? (WITH EXAMPLES) - SCIENCE - 2025

The decoding expressions refers to the way to verbalize a mathematical expression. In mathematics, an expression, also called a mathematical expression, is a combination of coefficients and literal parts joined by other mathematical signs (+, -, x, ±, /,,), to form a mathematical operation.

In simpler words, the coefficients are represented by numbers, while the literal part is made up of letters (generally the last three letters of the alphabet, a, b, and c are used to designate the literal part).

In turn, these “letters” represent quantities, variables and constants to which a numerical value can be assigned.

Mathematical expressions are made up of terms, which are each of the elements that are separated by symbols of operations. For example, the following mathematical expression has four terms:

5x ² + 10x + 2x + 4

It should be noted that expressions can be constituted only by coefficients, by coefficients and literal parts, and only by literal parts.

For example:

25 + 12

2x + 2y (algebraic expression)

3x + 4 / y + 3 (irrational algebraic expression)

x + y (integer algebraic expression)

4x + 2y ² (integer algebraic expression)

Decoding mathematical expressions

Decoding simple math expressions

1. a + b: The sum of two numbers

For example: 2 + 2: The sum of two and two

2. a + b + c: The sum of three numbers

For example: 1 + 2 + 3: The sum of one, two and three

3. a - b: The subtraction (or difference) of two numbers

For example: 2 - 2: The subtraction (or difference) of two and two

4. axb: The product of two numbers

For example: 2 x 2: The product of two and two

5. a ÷ b: The quotient of two numbers

For example: 2/2: The quotient of two and two

6. 2 (x): Double a number

For example: 2 (23): Double 23

7. 3 (x): Triple a number

For example: 3 (23): Triple 23

8. 2 (a + b): Double the sum of two numbers

For example: 2 (5 + 3): Double the sum of five and three

9. 3 (a + b + c): Triple the sum of three numbers

For example: 3 (1 + 2 + 3): Triple the sum of one, two and three

10. 2 (a - b): Double the difference of two numbers

For example: 2 (1 - 2): Double the difference of one and two

11. x / 2: Half of a number

For example: 4/2: Half of four

12. 2n + x: The sum of twice a number and another number

For example: 2 (3) + 5: The sum of the double of three and five

13. x> y: “X” is greater than “ye”

For example: 3> 1: Three is greater than one

14. x <y: “X” is less than “ye”

For example: 1 <3: One is less than three

15. x = y: "X" is equal to "ye"

For example: 2 x 2 = 4: The product of two and two is equal to four

16. x ²: The square of a number or a number squared

For example: 5 ²: The square of five or five squared

17. x ³: The cube of a number or a number cubed

For example: 5 ³: The cube of five or five cubed

18. (a + b) ²: The square of the sum of two numbers

For example: (1 + 2) ²: The square of the sum of one and two

19. (x - y) / 2: Half the difference of two numbers

For example: (2 - 5) / 2: Half the difference of two and five

20. 3 (x + y) ²: The triple of the square of the sum of two numbers

For example: 3 (2 + 5) ²: The triple of the block of the sum of two and five

21. (a + b) / 2: The semi-sum of two numbers

For example: (2 + 5) / 2: The semi-sum of two and five

Decoding algebraic expressions

1. 2 x ⁵ + 7 / y + 9: more more

1. 9 x + 7y + 3 x ⁶ - 8 x ³ + 4 y: more more less more

1. 2x + 2y: more

1. x / 2 - y ⁵ + 4y ⁵ + 2x ²: less more more

1. 5/2 x + and ² + x: more more

Decoding polynomials

1. 2x ⁴ + 3x ³ + 5x ² + 8x + 3: plus plus plus three

1. 13y ⁶ + 7y ⁴ + 9y ³ + 5y: plus plus nine of ye raised to three] plus

1. 12z8 - 5z6 + 7z5 + z4 - 4z3 + 3z2 + 9z: less more more less more more

References

1. Wrinting expressions with variables. Retrieved on June 27, 2017, from khanacademy.org.
2. Algebraic expressions. Retrieved on June 27, 2017, from khanacademy.org.
3. Comprehension of algebraic expressions by experienced users of mathematics. Retrieved on June 27, 2017, from ncbi.nlm.nih.gov.
4. Writing mathematical expressions. Retrieved on June 27, 2017, from mathgoodies.com.
5. Teaching arithmetic and algebraic expressions. Retrieved on June 27, 2017, from emis.de.
6. Expressions (mathematics). Retrieved on June 27, 2017, from en.wikipedia.org.
7. Algebraic expressions. Retrieved on June 27, 2017, from en.wikipedia.org.