Sharpen your math skills by revisiting the fundamentals of whole numbers with this comprehensive worksheet for Class

Understand place value of whole numbers.

Place value is a fundamental concept in mathematics that refers to the relative value of each digit in a number. By understanding the importance of place value, it is possible to do calculations with large numbers without having to write them out repeatedly. Using this worksheet, you can test your knowledge of place values by looking at example numbers given and seeing if you can correctly identify which place value each digit holds.

Compare and order whole numbers.

Comparing and ordering whole numbers is an important skill in mathematics, so it’s crucial to get comfortable with it. In this exercise, you will be asked to compare two numbers and decide which one is greater. Remember that when comparing and ordering whole numbers, the larger number has more digits than the smaller number and each digit has a place value that needs to be taken into account in order for you to find the right answer.

Perform addition and subtraction operations with whole numbers.

In this exercise, you will be asked to use addition and subtraction operations with whole numbers. You will also be required to understand the commutative properties of addition and subtractions in order to solve the problems correctly. Remember that when adding or subtracting whole numbers, the larger number is always written first followed by the smaller number. Additionally, the answer must always be a positive number.

Solve word problems involving operations with whole numbers.

Word problems require an extra bit of applied thinking and logical reasoning to solve. In these problems, you are usually given the numbers that need to be manipulated with operations. Make sure to read the problem carefully, identify the number provided, and understand what is being asked before attempting any calculations. Remember to use addition and subtraction with whole numbers in order to get the correct answer.

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whole numbers class 6 extra sums with solutions.

1. Extra Sum 1:

Find the sum of the smallest 4-digit whole number and the largest 3-digit whole number.

Solution:

The smallest 4-digit whole number is 1000, and the largest 3-digit whole number is 999.

Sum = 1000 + 999 = 1999

The sum of the smallest 4-digit whole number and the largest 3-digit whole number is 1999.

2. Extra Sum 2:

Find the whole number that lies exactly between 47 and 57.

Solution:

The number that lies exactly between 47 and 57 is the average of the two numbers.

Average = (47 + 57) ÷ 2 = 104 ÷ 2 = 52

The whole number that lies exactly between 47 and 57 is 52.

3. Extra Sum 3:

What is the product of the largest 2-digit whole number and the smallest 2-digit whole number?

Solution:

The largest 2-digit whole number is 99, and the smallest 2-digit whole number is 10.

Product = 99 × 10 = 990

The product of the largest 2-digit whole number and the smallest 2-digit whole number is 990.

4. Extra Sum 4:

Subtract the largest 1-digit whole number from the smallest 3-digit whole number.

Solution:

The largest 1-digit whole number is 9, and the smallest 3-digit whole number is 100.

Difference = 100 - 9 = 91

The difference between the smallest 3-digit whole number and the largest 1-digit whole number is 91.

5. Extra Sum 5:

Find the value of (30 × 40) + (20 × 50) using the distributive property of whole numbers.

Solution:

Using the distributive property of whole numbers:

(30 × 40) + (20 × 50) = 30 × (40 + 50)

Now, adding the numbers inside the brackets:

30 × (90) = 2700

The value of (30 × 40) + (20 × 50) is 2700.

FAQs

1. What are whole numbers?

Whole numbers are a set of numbers that include all natural numbers and zero. They do not have any fractional or decimal parts and are represented by the set

{0, 1, 2, 3, 4, ...}.

2. What is the difference between natural numbers and whole numbers?

Natural numbers are the set of counting numbers starting from 1, and they include numbers such as 1, 2, 3, 4, and so on. Whole numbers, on the other hand, include all natural numbers and zero.

3. What are the properties of whole numbers?

The main properties of whole numbers are:

a. Closure Property: Whole numbers are closed under addition, subtraction, and multiplication, meaning that when you perform these operations on any two whole numbers, the result will also be a whole number. b. Associative Property: For any whole numbers a, b, and c, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c). c. Commutative Property: For any whole numbers a and b, a + b = b + a and a × b = b × a. d. Distributive Property: For any whole numbers a, b, and c, a × (b + c) = (a × b) + (a × c). e. Identity Property: For any whole number a, a + 0 = a and a × 1 = a. f. Inverse Property: For any whole number a, a + (-a) = 0 and a × (1/a) = 1, where -a is the additive inverse and 1/a is the multiplicative inverse.

4. Are whole numbers closed under division?

No, whole numbers are not closed under division. When you divide one whole number by another whole number, the result may not always be a whole number. For example, 5 ÷ 2 = 2.5, which is not a whole number.

5. What are the successors and predecessors of whole numbers?

The successor of a whole number is the next whole number that comes immediately after the given number. For example, the successor of 5 is 6. The predecessor of a whole number is the whole number that comes immediately before the given number. For example, the predecessor of 5 is 4.

6. Can whole numbers be negative?

No, whole numbers cannot be negative. Whole numbers include zero and all positive numbers without any fractional or decimal parts. Negative numbers are part of the set of integers, which include negative numbers, zero, and positive numbers.