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?
Solution:
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?
Solution:
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
Now,
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.
Solution:
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.
Properties of Multiplication of Literals
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.
Recent Articles
-
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Nov 20, 24 01:00 PM
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. -
2nd Grade Measurement Worksheet | Measuring Length, Mass and Volume
Nov 20, 24 12:50 AM
In 2nd Grade Measurement Worksheet you will get different types of questions on measurement of length, measurement of weight (mass), measurement of capacity (volume), addition of length, addition of w… -
2nd Grade Fractions Worksheet | Basic Concept of Fractions | Answers
Nov 20, 24 12:16 AM
In 2nd Grade Fractions Worksheet we will solve different types of problems on fractions, one-whole, one-half, one-third, one-fourth, three-fourth or s quarter. In a fraction, it is important that the… -
2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets
Nov 18, 24 02:23 PM
In 2nd grade math practice you will get all types of examples on different topics along with the solutions. Second grade math games are arranged in such a way that students can learn math -
Worksheet on Addition of Length | Word Problems on Addition of Length
Nov 17, 24 10:29 PM
Practice the third grade math worksheet on addition of length. This sheet provides different types of questions where you need to arrange the values of length under different columns to find their sum
● Literal Numbers - Worksheets
Worksheet on Addition of Literals
Worksheet on Subtraction of Literals
Worksheet on Multiplication of Literals
Worksheet on Division of Literals
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.