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All questions of Whole numbers: Multiplication (Term 2) for Grade 6 Exam

Which is the whole number that does not have a predecessor?
  • a)
    100
  • b)
    0
  • c)
    1
  • d)
    9
Correct answer is option 'B'. Can you explain this answer?

Gayatri Roy answered
Whole number 0 does not have a predecessor. because, every number smaller than zero are categorised in negative numbers and not whole number.

Which of the following is a correct statement if N= natural number and W = whole number?
  • a)
    W is a part of N
  • b)
    N is a part of W
  • c)
    N is approximately equal to W
  • d)
    N is equal to W
Correct answer is option 'B'. Can you explain this answer?

Amar Kumar answered
Integers include 0 and the opposites (negatives) of natural numbers, and whole numbers include 0 while natural numbers do not. The result is that natural numbers are a subset of whole numbers which are in turn a subset of integers which you correctly categorized as a subset of rational numbers.

What is the additive identity element of 24?
  • a)
    -24
  • b)
    1
  • c)
    0
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Varun Kapoor answered
Solution:
The correct option is C 0.0
An element, which when added to a given element, leaves the given element unchanged, is called its additive identity.
Zero is the additive identity for all the real numbers.
For example, 24+0=24.

Which property is represented by a + b = c (a whole number) with respect to addition?
  • a)
    Associative property.
  • b)
    Commutative property.
  • c)
    Closure property.
  • d)
    Additive identity.
Correct answer is option 'C'. Can you explain this answer?

Komal patil answered
Closure Property: The closure property means that a set is closed for some mathematical operation. For example, the set of even natural numbers, [2, 4, 6, 8, . . .], is closed with respect to addition because the sum of any two of them is another even natural number, which is also a member of the set.

Which of the following statements is true?
  • a)
    Every whole number is a natural number.
  • b)
    Every natural number is a whole number.
  • c)
    1 is the least whole number.
  • d)
    0 is the greatest whole number.
Correct answer is option 'B'. Can you explain this answer?

Shubham Gupta answered
Explanation:


The statement "Every natural number is a whole number" is true. Let's understand why by exploring the definitions of natural numbers and whole numbers.

Natural Numbers:


Natural numbers are the counting numbers that start from 1 and go on infinitely. They are also known as positive integers. In other words, natural numbers are the numbers we use for counting or ordering objects. The set of natural numbers is denoted by N.

Whole Numbers:


Whole numbers are the numbers that include zero along with the natural numbers. They are obtained by adding zero to the set of natural numbers. The set of whole numbers is denoted by W.

Understanding the Statements:


a) Every whole number is a natural number.
This statement is false. While every natural number is a whole number, not every whole number is a natural number. Whole numbers include zero, which is not a natural number.

b) Every natural number is a whole number.
This statement is true. Since whole numbers include zero along with the natural numbers, every natural number is also a whole number.

c) 1 is the least whole number.
This statement is false. Zero is the least whole number because it is the starting point of the set of whole numbers.

d) 0 is the greatest whole number.
This statement is false. Whole numbers go on infinitely, so there is no greatest whole number. Zero is the starting point of whole numbers, but there is no end or greatest whole number.

Conclusion:


Based on the definitions of natural numbers and whole numbers, the true statement is that every natural number is a whole number (option B).

What is the sum of the first five whole numbers?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    25
Correct answer is option 'B'. Can you explain this answer?

Coachify answered
Answer: b) 15
Explanation: The first five whole numbers are 0, 1, 2, 3, and 4. Their sum is 0 + 1 + 2 + 3 + 4 = 15.

3 x 10000 + 7 x 1000 + 9 x 100 + 0 x10 + 4 is the same as
  • a)
    3794         
  • b)
    37940       
  • c)
    37904       
  • d)
    379409
Correct answer is option 'C'. Can you explain this answer?

Anisha Iyer answered
Solution:

To solve this problem, we have to multiply each digit by its corresponding place value and then add the products together.

The given expression can be written as:

3 x 10000 + 7 x 1000 + 9 x 100 + 0 x 10 + 4

Multiplying each digit by its place value, we get:

30,000 + 7,000 + 900 + 0 + 4

Adding these products together, we get:

37,904

Therefore, the correct answer is option 'C'.

Find the smallest 6-digit number that can be formed by the digits 9, 6, 0, 5, 8 and 1.
  • a)
    0, 15, 689
  • b)
    1, 05, 689
  • c)
    5, 01, 689
  • d)
    9, 86, 510
Correct answer is option 'B'. Can you explain this answer?

Akshita Basu answered
To form the smallest number (without repetition of digits) from the given digits, write them in ascending order and place commas after periods. Remember that a number cannot start with 0 in the leftmost place.

What are natural numbers primarily used for?
  • a)
    Counting objects
  • b)
    Representing fractions
  • c)
    Calculating percentages
  • d)
    Measuring distances
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
Natural numbers are the counting numbers starting from 1 and are used for counting objects such as books, toys, or stars. They form the basis of basic counting in mathematics.

The successor of 1 million is
  • a)
    10001
  • b)
    100001
  • c)
    1000001
  • d)
    10000001
Correct answer is option 'C'. Can you explain this answer?

Understanding the Successor of 1 Million
To find the successor of any number, you simply add 1 to that number. In this case, we are looking for the successor of 1 million.
What is 1 Million?
- 1 million is represented as 1,000,000 in numerical form.
Calculating the Successor
- To find the successor, we perform the following calculation:
- 1,000,000 + 1 = 1,000,001
Analyzing the Options
Now, let's look at the options provided:
- a) 10,001
- b) 100,001
- c) 1,000,001
- d) 10,000,001
Among these options, the only number that matches our calculation is:
- c) 1,000,001
Conclusion
Thus, the correct answer to the question, "What is the successor of 1 million?" is option 'C', which is 1,000,001.
This straightforward process of finding the successor can be applied to any number, making it a fundamental concept in mathematics.

 The product of the predecessor and successor of an odd natural number is always divisible by
  • a)
    2
  • b)
    8
  • c)
    6
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
We know that the predecessor of an odd number is an even number and the successor of an odd number is also an even number.
So the two even numbers and their product are two consecutive even numbers which is always divisible by 8.

How many whole numbers are there between 0 and 10?
  • a)
    8
  • b)
    9
  • c)
    10
  • d)
    11
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
Concept:
Counting the whole numbers within the given range.
Solution:
⇒ The sequence of whole numbers between 0 and 10 is: 1, 2, 3, 4, 5, 6, 7, 8, 9
⇒ We simply need to count these numbers.
⇒ There is 1 one. ⇒ There is 1 two. ⇒ There is 1 three. ⇒ There is 1 four. ⇒ There is 1 five. ⇒ There is 1 six. ⇒ There is 1 seven. ⇒ There is 1 eight. ⇒ There is 1 nine.
by adding all the counts, we get 9 whole numbers between 0 and 10.
Hence, the correct answer is "9".

Which of the following numbers is a prime number?
  • a)
    91
  • b)
    81
  • c)
    87
  • d)
    97
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
We know that the factors of
91 = 1 × 7 × 13
81 = 1 × 3 × 3 × 3 × 3
87 = 1 × 3 × 29
97 = 1 × 97
Hence, 81, 87 and 91 are not prime numbers.

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