Table of 175

Introduction

The multiplication table of a number is the repeated addition of the number to itself for a given number of times. So three times 175 is a shorthand for 175+175+175. So, in other words, it can be said that a multiplication table is the list of the multiples of a number. A multiplication table is a basic mathematical operation that is taught to students at an early age. These tables are extremely useful for doing mathematical operations on numbers.

This Story also Contains

1. Introduction
2. Description of Multiplication Table Chart
3. How to Read The Multiplication Table Chart?
4. Easy Tips to Keep in Mind While Performing Multiplication
5. Easy Steps to Teach Multiplication
6. Solved Examples:
7. Multiplication Table of 175

Description of Multiplication Table Chart

A multiplication table chart is a list of multiples of a given number. A multiplication table can be obtained by multiplying the number with whole numbers from one to ten. This chart is helpful in arithmetic operations. These are the building blocks for working on maths like fractions, exponents and many more.

How to Read The Multiplication Table Chart?

A multiplication chart is a table that presents the products of two whole numbers. One column of numbers is written on the left side, and another set is on the right side. In between those two, a sign(X) of Multiplication is written. Then a column on the right side is written, which is the multiplication result of the numbers present on its left-hand side.

Easy Tips to Keep in Mind While Performing Multiplication

Below are a few tips that have to be kept in mind for making multiplication easy and fast.

1-Multiplication of any number with 0 will be 0.

2-Multiplication of any numbers with 1 will be the number itself.

3-Multiplication of a number with 10 will be a number with 0 at its unit place. For example, if we multiply 9 by 10, the result is 90.

4-Take any number between 1 to 9, and multiply It by 11. The result will be the duplication of the number. For example, multiply 4 by 11, and the result is 44.

5-The multiplication of a number by 2 is the double of the number. Similarly, the multiplication of a number by 4 is two times the double of the number. For example, if we multiply 5 by 4, then the result will be 20, as we first doubled 5, resulting in 10, and then we doubled it again, resulting in 20. So the final outcome is number 20.

Easy Steps to Teach Multiplication

Step one: Start with the physical manipulatives.

The Countable manipulatives turn multiplication into a hands-on concept. Any small tokens will work here(buttons, blobs of modelling clay).

To make it easier to grasp, kindly use the following strategies here

A-Objects should be grouped into sets

B-Use an array

Step two: Introduce the skip counting method.

Once they get the hang of arranging the manipulatives and counting them out, ease the students into skip counting.

Arrays or sets are still helpful here. Once they know each row contains a given number of units, they should start adding them together to reach an answer.

Step three: highlighting Commutative Property to the students.

The multiplication's commutative property is the property to reverse a sum and still get the same result. That’s why 2 x 8 and 8 x 2 both equal 16.

If the student understands the commutative property, he will be able to handle multiplications much more easily. Students will also be able to memorise their tables more easily because learning one multiply means you also learn its reverse multiply.

Solved Examples:

Example 1: Sam works 5 hours per day for Rs. 175 per hour. How much money does Sam make in a day?

Solution: Sam works 5 hours per day for Rs. 175 per hour. As a result of using multiplication tables, his total earnings are 5 \times 175 .

∴ Sam is paid Rs. 875.

Example 2: Is eight a factor of 175?

Solution: 8 isn't a factor of 175, so no.

Example 3: Multiply a third of 9 by 175.

Solution: 9 times 175= 1575

One-third of 1575 = \frac{1}{3}\times 1575=525

Example 4: What does 2.5 x 175 equal?

Solution: 2.5 times 175 is given by

=175 \times 2.5

=437.5.

Example 5: If the cost of one table is Rs. 175, find the cost of 10 books.

Solution: Since the cost of a table = Rs. 175

So, the cost of 10 tables = 10 \times 175 = 1750.

Therefore, the cost of 10 tables is Rs. 1750.

Multiplication Table of 175

\begin{array}{ll}

175 \times 1=175 & 175 \\

\hline 175 \times 2=350 & 175+175=350 \\

\hline 175 \times 3=525 & 175+175+175=525 \\

\hline 175 \times 4=700 & 175+175+175+175=700 \\

\hline 175 \times 5=875 & 175+175+175+175+175=875 \\

\hline 175 \times 6=1050 & 175+175+175+175+175+175=1050 \\

\hline 175 \times 7=1225 & 175+175+175+175+175+175+175=1225 \\

\hline 175 \times 8=1400 & 175+175+175+175+175+175+175+175=1400 \\

\hline 175 \times 9=1575 & 175+175+175+175+175+175+175+175+175=1575 \\

\hline 175 \times 10=1750 & 175+175+175+175+175+175+175+175+175+175=1750

\end{array}