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Post a LessonAnswered on 23 Feb Learn CBSE/Class 6/Maths/algebra/Conversion of Statement to Algebraic Expression
Sadika
If each matchbox contains 50 matchsticks and there are nn such boxes, then the total number of matchsticks required to fill nn boxes can be found by multiplying the number of matchsticks in one box by the number of boxes.
Given: Number of matchsticks in one box = 50 Number of matchboxes (nn)
Total number of matchsticks = Number of matchsticks in one box * Number of boxes Total number of matchsticks = 50×n50×n
So, the total number of matchsticks required to fill nn matchboxes is 50n50n.
Answered on 23 Feb Learn CBSE/Class 6/Maths/algebra/Conversion of Statement to Algebraic Expression
Sadika
If Ramandeep's present age is nn years, then her age after 7 years can be calculated by adding 7 to her present age.
So, Ramandeep's age after 7 years will be n+7n+7 years.
Answered on 23 Feb Learn CBSE/Class 6/Maths/algebra/Conversion of Statement to Algebraic Expression
Sadika
If you spend ff rupees from 100 rupees, the amount of money left with you can be calculated by subtracting the amount spent (ff) from the total amount you had initially (100 rupees).
So, the money left with you is 100−f100−f rupees.
Answered on 23 Feb Learn CBSE/Class 6/Maths/algebra/Conversion of Statement to Algebraic Expression
Sadika
An algebraic expression is a mathematical phrase that can contain numbers, variables (like xx, yy, etc.), and operations (such as addition, subtraction, multiplication, and division).
Here are some examples of how you might form algebraic expressions:
Simple Addition: Suppose you have two numbers, aa and bb. You can form an algebraic expression for their sum by simply writing a+ba+b. Here, aa and bb are the variables representing the numbers.
Multiplication: If you want to express the product of two numbers, say cc and dd, you would write c×dc×d or simply cdcd.
Combining Operations: You can combine different operations within an algebraic expression. For example, if you want to express the sum of two numbers multiplied by a third number, you would write (a+b)×c(a+b)×c.
Subtraction: To express the difference between two numbers, say ee and ff, you would write e−fe−f.
Division: If you want to express the quotient of two numbers, say gg and hh, you would write ghhg.
Combining Variables and Numbers: You can combine variables and numbers within the same expression. For example, 2x+32x+3 represents the sum of two times xx and 3.
Exponents: To express a number raised to a power, you use an exponent. For example, x2x2 represents xx squared, and y3y3 represents yy cubed.
Remember, algebraic expressions are flexible and can be as simple or complex as needed to represent mathematical relationships. The key is to understand the rules of algebra and how different elements can be combined to form expressions that accurately represent the given situation.
Answered on 23 Feb Learn CBSE/Class 6/Maths/algebra/Forming of Algebraic Expression
Sadika
Let's represent the unknown number with a variable. Let's use xx to represent the unknown number.
The given statement "Six less than a number equals two" can be translated into the algebraic equation:
x−6=2x−6=2
To find the value of xx, we need to solve this equation:
x−6=2x−6=2
Adding 6 to both sides to isolate xx:
x=2+6x=2+6
x=8x=8
So, the number is x=8x=8.
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