Question

How do you write the mathematical expression for the “quotient of twice a number t and 12”?

Answer 1

Hint: An algebraic expression is a mathematical phrase that contains a combination of numbers, variables and operational symbols. A variable is a letter that can represent one or more numbers.
Quotient means division with the first number as the dividend (number being divided) and the second number being the divisor (number dividing into the dividend), we can rewrite the given statement and we will get the required mathematical expression.

Complete step-by-step answer:
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Given statement is,
Quotient of twice a number t and 12.
Quotient' means division with the first number as the dividend (number being divided) and the second number being the divisor (number dividing into the dividend),
Now a number is a twice so the numerator will be \[2t\], and quotient is written as a fraction i.e.,\[\dfrac{a}{b}\],
In this case, 2t will be on top of 12, as the number in the numerator is twice. The twice the number \[t\]
‘Twice' indicates 2 times the number, i.e.,
\[ \Rightarrow 2t\],
Now finally this term is divided by 12, we get
\[ \Rightarrow \]\[\dfrac{{2t}}{{12}}\],
Therefore, \[\dfrac{{2t}}{{12}}\] is the mathematical expression for the given phrase.

The mathematical expression for the “quotient of twice a number t and 12” will be \[\dfrac{{2t}}{{12}}\] .

Note:
To write an expression, we often have to interpret a written phrase. For example, the phrase “6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.
Some examples of common phrases and corresponding expressions that involve the operations are:

Phrase	Expression
4 more than some number	y + 4
8 minus some number	w-8
The product of a number and 12	12h
the quotient of a number and 12	\[\dfrac{p}{{12}}\]