Zero

What is Zero? – Definition, Symbol, Properties, Examples | How to Represent Zero on a Number Line?

In this article, you will learn about zero. Number zero means the absence of a number. If we use zero in arithmetic operations like addition and subtraction, the result will always be in the same number, but using zero in multiplication is zero. Number 0 is in wide usage and might be used as a value on its own or as a placeholder in equations. Adding Zero means Adding nothing to a number. Help your students to improve their mathematical skills by asking them to practice the questions on zero.

When we add a number to zero the result is equal to the number itself. You learn the definition of zero, zero representation, some example questions on zero, and some practice questions on zero on this page. You can use and download this page without paying and take a printout of this download page for more practicing purposes.

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What is Zero? | Zero – Definition

0 (zero) could be a number, and therefore the numerical digit accustomed represent that number in numerals. It fulfills a central role in mathematics due to the additive identity of the integers, real numbers, and loof other algebraic structures. In place value systems, 0 (zero) is a digit used as a placeholder.

Zero is that the integer denoted 0 that, when used as a counting number, implies that no objects are present. It is the only integer (and, in fact, the real number) that’s neither negative nor positive. A number that’s not zero is claimed to be nonzero. A root of a function is also sometimes known as “a zero of .”

Zero Representation on a Number Line

In the number line, Zero is represented as halfway between -1 and +1. In between a negative (-ve) number and a positive (+ve) number zero will be present.

Solved Example Problems on Zero

Example 1:
Explain the below figure, how to get two apples in an output bowl.

Solution: 
The given figure consists of 3 bowls, two bowls are for input and one bowl is for output.
Now, we can explain how to get the output as 2 apples in an output bowl.
In between two bowls, we have ‘+”(plus sign), which means adding the given numbers and the resultant is sum or total. In these two input bowls, one bowl has 2 apples it means the value is 2 and the second bowl has no apples it means the value is ‘0’.
Now, we can perform the addition operation, we can get the output.
Therefore, the output is,
2 + 0 = 2
Hence, the output is 2. So, the output bowl has 2 apples.

Example 2: 
Find the value of the below figure. Explain how to find the value.
Solution:
The given figure consists of two numbers. The numbers are 0 and 6.
Now, we can find the output value of the given two numbers.
In between two given numbers, we have ‘+”(plus sign), which means adding the given numbers and the resultant is sum or total. In these two given input numbers, one value is ‘0’ and the second value is ‘6’.
Now, we add the given two numbers then we get the output.
Therefore the output is,
0 + 6 = 6
So, the output of the given figure is 6.

Example 3: 
Explain how to get the resultant value 0 (zero)

Solution:
The given numbers in the question are 3 and 3, the resultant value is 0.
Now, explain how to get the value 0.
In between the given numbers, we have ‘-‘ (minus sign) it means subtraction. Subtraction means removing the value from one to another.
So, we can subtract the given values, we can get the output.
Therefore, the output is,
3 – 3 = 0.
Hence, the output of subtracting from 3 to 3 is 0.

Example 4: 
Explain the below figure, how to get the value 0?


Solution: 
The given figure consists of two numbers 8 and 0.
Now, we can explain the getting value 0.
The numbers 8 and 0, in between x (multiplication sign) are present. Anything is multiplied with zero, we get the output value is 0.
So, in between the given number multiplication operation is performed.
Therefore, the output value is,
8 x 0 = 0.
So, the output given two numbers value is 0.

Example 5: 
Find the value of the following:
(i) 5 + 0 = ?
(ii) 0 + 1 = ?
(iii) 7 – 0 = ?
(iv) 9 – 0 = ?
(v) 8 – 8 = ?

Solution:
The given question consists of some questions, we can find the values of that question.
The following are,
(i) The given numbers are 5 and 0,
Now we can find the value of that numbers.
In between the given numbers ‘+’ (plus sign) is present. It means adding operation. Adding means add the two given numbers and the resultant is sum or total.
Now, we can perform the addition of two given numbers. We get the output,
Therefore, the output is,
5 + 0 = 5
So, the output value of 5 and 0 is 5.

(ii) The given numbers are 0 and 1,
Now we can find the value of that numbers.
In between the given numbers ‘+’ (plus sign) is present. It means adding operation. Adding means add the two given numbers and the resultant is sum or total.
Now, we can perform the addition of two given numbers. We get the output,
Therefore, the output is,
0 + 1 = 1
So, the output value of 0 and 1 is 1.

(iii) The given numbers are 7 and 0.
Now, we can find the value of the given two numbers.
The numbers 7 and 0, with ‘-‘ (minus sign) are there. So, we can perform the subtraction operation. Subtraction means removing the value from one to another.
So, perform the subtraction operation, we get the output,
The output of given numbers is,
7 – 0 = 7
Therefore, the value is 7.

(iv) The given numbers are 9 and 0.
Now, we can find the value of the given two numbers.
The numbers 9 and 0, with ‘-‘ (minus sign) are there. So, we can perform the subtraction operation. Subtraction means removing the value from one to another.
So, perform the subtraction operation, we get the output,
The output of given numbers is,
9- 0 = 9
Therefore, the output of the given numbers 9, 0 value is 9.

(v) The given numbers are 8 and 8.
Now, we can find the value of the given numbers.
In between, the given number ‘-‘ (minus sign) is present. It means subtraction. So removing the value from one to another.
Therefore, the output is ,
8 – 8 = 0.
Hence, the output of the given numbers is 0.

Practice Questions on Zero

Question 1:
Find the values of the below-given figure questions. Write that finding values in the blanks using a pencil.

Question 2:
Explain the below figure. How to get the output value?

Question 3:
The below figure consists of some questions. Students, will find the values of the given question and write that finding values using a pencil.

Question 4:
The below figure consists of oranges on plates, empty plates. Students will add the given numbers and write those values and draw the proper output value pictures. An example is given that is the first question in the below figure, how to find the output value and draw pictures.

Question 5:
The below figure consists of some image questions and number options. Students will find the answers to the given question and choose the correct number option. Circle that option number using a pencil.

Question 6:
There are six birds in the cage. All the six birds fly away. How many birds remain in the cage?

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