prouduct of a and b divided by ten in algebra
Answers
Answer:
ab/10
Step-by-step explanation:
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Step-by-step explanation:
Just like any language, math has a way to communicate ideas. An algebraic expression is a compact way of describing mathematical objects using a combination of numbers, variables (letters), and arithmetic operations namely addition, subtraction, multiplication, and division.
ADVERTISING
In other words, the three main components of algebraic expressions are numbers, variables, and arithmetic operations.
NUMBERS OR CONSTANTS
Examples: 11, 66, 88, 2727, 3232, etc.
VARIABLES OR LETTERS
Examples: xx, yy, aa, hh, pp, etc.
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ARITHMETIC OPERATIONS
Examples: ++ (addition), -− (subtraction) , \times× (multiplication) , ÷÷ (division)
The following are easy examples that can help you get familiarized with the operations of addition, subtraction, multiplication, and division.
Addition
the sum of xx and 55 → x+5x+5
Subtraction
the difference of yy and 33 → y-3y−3
Multiplication
the product of nn and 22 → 2n2n
Division
the quotient of kk and 77 → \Large{{k \over 7}}
7
k
Writing Algebraic Expressions Step-by-Step Examples
Let’s go over more examples.
Example 1: The sum of twice a number and 33
Answer: Let variable xx be the unknown number. So twice a number means 2x2x. The sum (use plus symbol) of twice a number and 33 can be written as 2x+32x+3.
Example 2: The difference of triple a number and 55
Answer: Let variable yy be the unknown number. So triple a number means 3y3y. The difference (use minus symbol) of triple a number and 55 should be written as 3y - 53y−5.
Example 3: The sum of the quotient of mm and 22, and the product of 44 and nn.
Answer: In this case, the unknown numbers are already provided as mm and nn. That’s one less thing to worry.
The key is to recognize that we are going to add a quotient and a product.
the quotient of mm and 22 is expressed as \Large{{m \over 2}}
2
m
the product of 44 and nn is expressed as 4n4n
Therefore, the sum of the quotient and product is {\Large{{m \over 2}}} + 4n
2
m
+4n.
Example 4: The difference of the product of 77 and ww, and the quotient of 22 and vv.
Answer: In this case, the unknown numbers have been assigned with corresponding variables which are ww and vv.
The key is to recognize that we are going to subtract the product by the quotient of some expressions.
the product of 77 and ww is expressed as 7w7w
the quotient of 22 and vv is expressed as \Large{{2 \over v}}
v
2
Therefore, the difference of the product and quotient is 7w - {\Large{{2 \over v}}}7w−
v
2
.
Common Words or Terms to Mean Addition, Subtraction, Multiplication, and Division
Now, let’s go over some common words or phrases that describe the four arithmetic operations. It is critical that you know these words or phrases to be successful in writing or interpreting any given algebraic expression.
algebraic terms which imply adding
algebraic terms which imply subtracting
algebraic terms which imply multiplying
algebraic terms which imply dividing
Math Phrases into Algebraic Expressions
The key to learning is to study a LOT of examples!