Introduction to Large Numbers
Large numbers are those with a greater value than the numbers we use in everyday life. Large numbers create fear among children, who frequently avoid solving problems including them. For instance, 1 million, 1 billion, etc., are huge figures used to indicate the population of a country or the quantity of money in a bank account. These big numbers are basically denoted in standard form.
Meaning of Large Numbers
Everyone learns to count numbers from one digit to seven digits beginning at a very young age. This is accomplished using the place value system. The Indian Place Value System and the International Place Value System are the two place value systems in use.
We constantly consider the place value system when writing huge numbers to ensure that they are represented correctly. According to the Indian place value system, each group of digits separated by a comma is referred to as a period when a number is written in standard form. These units are designated as ones, thousands, millions, etc. The one’s period is comprised of the first three digits of the huge number, beginning with the rightmost digit. The thousands period consists of the two digits that follow the decimal point. The subsequent two numbers constitute the lakhs period, which continues.
In accordance with the International place value system, integers are also separated by periods. These are referred to as ones, thousands, millions, billions, etc. Each period in this scheme consists of three digits.
Consider the following example: 16,894,891 This is written as Sixteen million, eight hundred ninety-four thousand eight hundred ninety-one according to the International Place Value system.
Other significant numbers are represented as follows:
1,000,000,000 = one billion
1.000 billion = one thousand billion
The table below demonstrates how to read and write numbers in accordance with the International Place Value System.
Addition of Large Numbers
Large numbers are added in the same manner as smaller numbers. According to their place values, we arrange the numbers in a column. The process of addition begins with the one’s column, followed by the tens column, the hundreds column, etc. The numbers that must be carried forward are added to the existing numbers in the column adjacent. This entire procedure must be followed until the final column, where the final number is found.
Example 1: Find the sum of the following large numbers: 67,34,903, 2,61,89,403, and 12,79,40,674.
Solution:
First, we arrange the numbers in columns according to their place value and then we add them.
Therefore, the sum of the given numbers is 160,864,980.
Subtraction of Large Numbers
For the subtraction of large numbers, the same column arrangement is utilized for addition. After the numbers have been sorted in columns, we begin with the ones and continue to the left. When necessary, numbers are borrowed from the left side.
Example 2: Find the difference between the following large numbers: 67,89,540 and 23,78,954.
Solution:
First, we arrange the numbers in columns according to their place value and then we subtract them.
Multiplication of Large Numbers
Large numbers are multiplied in the same manner as the other numbers. After the numbers have been arranged in the columns, we take the number at the bottom and begin with one. This number is multiplied by all the numbers in the top row, and the product is written below the line.
Before multiplication the following number, we must place a zero in the one’s place to hold the tens place, therefore we write zero in the ones place. The process is repeated by taking the next number from the bottom and multiplying it by all the numbers in the top row. Place the product on the same line where the zero was positioned. After obtaining the product of the two integers, we add them column-by-column to arrive at the final solution.
Example 3: Multiply the large number 74,597 by 32.
Solution:
Therefore, the product of the given numbers is 2,387,104.
Division of Large Numbers
Large numbers are divided using the long division approach, which is applicable to all division issues. There is a dividend, which, when divided by the divisor, yields the quotient and occasionally a reminder. The division process encompasses the entire cycle of division, subtraction, and multiplication.
Example 4: Divide the large number 1,260,257 by 37.
Solution:
Related Links:
Place Value
Indian Place Value Chart
Number Systems
Place Value Calculator
Examples of Large Numbers :
Example 1: Find the sum of these two large numbers: 234,679 and 4,659,129.
Solution: Adding the two large numbers by applying the method mentioned above.
234,679 + 4,659,129 = 4,893,808
Therefore, the sum of the numbers is 4,893,808.
Example 2: Multiply the large number 135,012 by 12.
Solution: Multiplying the large number by applying the method mentioned above.
135,012 × 12 = 1,620,144
Therefore, after multiplication, we get 1,620,144 as the product.
FAQs ( Frequently Asked Questions )
Q.1 What is the Meaning of Large Numbers?
Large numbers are typically larger numbers that are utilized less frequently in our daily lives. Most commonly, they are employed for determining a country’s population or counting money in a bank account. Examples of high numbers are one million and one billion.
Q.2 How do we Read Large Numbers?
When reading or writing huge numbers, we always advance from left to right. Positioning numbers according to their place value system is always preferable. In accordance with the Indian place-value system, huge numerals are read by dividing them into periods known as units, thousands, and lakhs. 24,12,340, for instance, is written and read as twenty-four lakh, twelve thousand, three hundred and forty. According to the International place value system, the periods are labeled as ones, hundreds, thousands, millions, and billions, etc. Two million, four hundred twelve thousand, three hundred forty is the same as two million, four hundred twelve thousand, three hundred forty.
Q.3 Is a 10-digit Number a Billion?
Yes, a 10-digit number is read as a billion. For example, 7,000,000,000 is read as Seven billion.
Q.4 The smallest 5-digit number is?
The smallest 5-digit number is 10000
Q.5 What is the sum of the smallest 5-digit number and the largest 4-digit number?
The smallest 5-digit number is 10000
The largest 4-digit number is 9999
The sum of the smallest 5-digit number and the largest 4-digit number is
9999+10000=19999
