Multiplication of Literals

Multiplication of literals obeys all operation of multiplication of numbers. In arithmetic, we studied multiplication as the repeated addition.

For example, 5 + 5 + 5 + 5 is called 4 times 5 and it is written as 4 × 5.

Similarly, if a is a literal, then a + a + a + a is 4 times a and is written as 4 × a.

Sometimes, the sign of multiplication is confused with the letter x. To avoid such as confusion we omit the sign of multiplication between a number and a literal or between two literals. 

Thus, when there is no sign between a literal and a number of two literals, it is understand that the two are multiplied.

Thus, y + y + y + y + y = 5 × y = 5y

Similarly, the product of literals a and b is written as ab.It should be noted that the product of the type y × 4 is not written as y4. Conventionally, we written it as 4y.

Examples of Multiplication of Literals

1. Write each of the following phrases using numbers, literals and the basic operations of addition, subtraction and multiplication:

(i) 10 times a

Answer: 10a

(ii) x times y

Answer: xy

(iii) m times 100

Answer: 100m

(iv) The product of 8 and m.

Answer: 8m

(v) The product of m and n.

Answer: mn

(vi) The product of x and 25.

Answer: 25x

(vii) Multiply p and 5.

Answer: 5p

(viii) Multiply a and b.

Answer: ab

(ix) Multiply 17 and z.

Answer: 17z

(x) 4 times x added to y .

Answer: 4x + y

(xi) m times k added to 5 .

Answer: mk + 5

(xii) 5 times the sum of x and y.

Answer: 5(x + y )

(xiii) p times the sum of 10 and y.

Answer: p(10 + y )

(xiv) 5 times a is subtract from b

Answer: b – 5a.

(xv) x times k is subtract from 10

Answer: 10 – xk.

(xvi) 10 more than thrice a number y.

Answer: Here we have,

(xvii)Thrice a number y = 3y.

Answer: Here we have,

Thrice a number y = 3y.

Therefore, 10 more than thrice a number y = 3y + 10

2. John covers x centimeters in one step. How many centimeters does he cover in 9 steps?


We have,
Distance covered in one step = x centimetres

Therefore, Distance covered in 9 steps = (9 times x ) centimetres.

= 9 centimeters.

3. Mark spend $ x daily and saves $ y per week. What is his income after 3 weeks?


We know that,
1 week = 7 days.

Therefore, 3 weeks = (7 × 3) days = 21 days.

Mark spends $ x daily.

Therefore, amount spent by Mark in 3 weeks = $ (3 times y) = $ 3y

Income = Expenditure + Savings

Therefore, Mark's income after 3 weeks = sum of $ 21x and $ 3y

= $ (21x + 3y)

4. The score of Jessica in Mathematics is 35 more than thrice of her score in Science. If she scored x marks in Science, determine her score in Mathematics.


We have,
Score in Science = x

Thrice of score in Science = 3x

Therefore, 35 more than two third of score in Science = 3x + 35

Hence, score in Mathematics = 3x + 35.

Literal Numbers

Addition of Literals

Subtraction of Literals

Multiplication of Literals

Properties of Multiplication of Literals

Division of Literals

Powers of Literal Numbers

Algebra Page

6th Grade Page

From Multiplication of Literals to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Share this page: What’s this?

Recent Articles

  1. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Apr 20, 24 05:39 PM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  2. What are Parallel Lines in Geometry? | Two Parallel Lines | Examples

    Apr 20, 24 05:29 PM

    Examples of Parallel Lines
    In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other

    Read More

  3. Perpendicular Lines | What are Perpendicular Lines in Geometry?|Symbol

    Apr 19, 24 04:01 PM

    Perpendicular Lines
    In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square Set Square If two…

    Read More

  4. Fundamental Geometrical Concepts | Point | Line | Properties of Lines

    Apr 19, 24 01:50 PM

    Point P
    The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

    Read More

  5. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

    Apr 19, 24 01:22 PM

    Square - Polygon
    What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.

    Read More

Literal Numbers - Worksheets

Worksheet on Addition of Literals

Worksheet on Subtraction of Literals

Worksheet on Multiplication of Literals

Worksheet on Division of Literals

Worksheet on Powers of Literal Numbers