RBSE Solutions Class 5 Maths Chapter 1 Numbers Important Questions

Rajasthan Board RBSE Class 5 Maths Chapter 1 Numbers Additional Questions

Multiple Choice Questions

Question 1. Number of digit in 5-digit Number
(a) 4
(b) 5
(c) 6
(d) 3
Answer: (b) 5
In simple words: A 5-digit number has exactly five digits. For example, 10,000 is the smallest 5-digit number, and it has five digits.

🎯 Exam Tip: Remember that the number of digits refers to how many places a number occupies, like ones, tens, hundreds, thousands, and ten thousands for a 5-digit number.

Question 2. Symbol falls between the numbers 12199 _______ 21200
(a) <
(b) >
(c) ≤
(d) =
Answer: (a) <
In simple words: When comparing two numbers, if the first number is smaller than the second number, we use the "less than" symbol (<). Here, 12,199 is smaller than 21,200.

🎯 Exam Tip: To compare numbers, always start by looking at the digit in the largest place value. If they are the same, move to the next largest place value.

Question 3. Greatest number in the numbers 89599 and 98599
(a) 10000
(b) 99999
(c) 98599
(d) 89599
Answer: (c) 98599
In simple words: To find the greatest number between two, compare their digits from left to right. The number with the larger digit in the highest place value is the greater number. Here, 98,599 has a larger digit (9) in the ten thousands place compared to 89,599 (which has 8).

🎯 Exam Tip: When comparing two numbers with the same number of digits, compare them digit by digit starting from the leftmost (highest place value) until you find a difference.

Question 4. Place value of 0 (zero) in 87605-
(a) 10
(b) 0 zero
Answer: (b) 0 zero
In simple words: The place value of the digit zero is always zero, no matter where it is located in a number. It means there are no units of that particular place value.

🎯 Exam Tip: Zero is unique; its place value is always 0, even though it holds a position in the number.

Question 6. 33333 read as
(a) Thirty three thousand
(b) Three hundred thirty three
(c) Thirty three thousand three hundred thirty three
(d) Three thousand three hundred thirty three
Answer: (c) Thirty three thousand three hundred thirty three
In simple words: We read numbers by grouping digits into periods like thousands and ones. For 33,333, we read "thirty-three" for the thousands group and "three hundred thirty-three" for the ones group.

🎯 Exam Tip: Practice reading different numbers aloud, focusing on the place value of each digit and how they combine into number names.

Question 7. Place value of 4 in 83427-
(a) 400
(b) 4000
(c) 40
(d) 4
Answer: (a) 400
In simple words: In the number 83,427, the digit 4 is in the hundreds place. So, its place value is 4 multiplied by 100, which equals 400.

🎯 Exam Tip: To find a digit's place value, identify its position (ones, tens, hundreds, etc.) and multiply the digit by the value of that position.

Question 8. Smallest 5-digit number is-
(a) 10000
(b) 11111
(c) 55555
(d) 99999
Answer: (a) 10000
In simple words: The smallest 5-digit number starts with 1 in the ten thousands place, followed by zeros in all the other places (thousands, hundreds, tens, ones). This creates the number 10,000.

🎯 Exam Tip: The smallest number with a certain number of digits will always be 1 followed by as many zeros as needed to fill the remaining places.

Fill in the blanks in the following Questions

Question 1. 15005 _______ 15050
Answer: <
In simple words: When we compare 15,005 and 15,050, we see that 15,005 is smaller than 15,050. So, the "less than" symbol is the correct one to use.

🎯 Exam Tip: Always compare numbers from left to right, focusing on the digits in each place value to determine which number is greater or smaller.

Question 2. 74349 = _______ + _______ + _______ + _______ + _______
Answer: 70000 + 4000 + 300 + 40 + 9
In simple words: To write a number in expanded form, we break it down into the sum of the place values of each of its digits. For 74,349, it means 7 ten thousands, 4 thousands, 3 hundreds, 4 tens, and 9 ones.

🎯 Exam Tip: Remember to assign the correct place value (ones, tens, hundreds, thousands, etc.) to each digit when writing a number in its expanded form.

Question 3. Place value of zero at any place is always _______
Answer: Zero (0)
In simple words: No matter where the digit 0 appears in a number, its value always remains 0. It signifies an absence of quantity in that particular place.

🎯 Exam Tip: Understand that while zero holds a place in a number, its actual value contribution to the sum remains zero.

Question 4. Number with less number of digits is smaller than the number with _______ number of digits.
Answer: Greater
In simple words: If you have two numbers, the one with fewer digits will always be smaller than the one with more digits. For example, a 3-digit number (like 100) is always smaller than a 4-digit number (like 1000).

🎯 Exam Tip: This is a fundamental rule for comparing numbers. Always check the number of digits first before comparing individual place values.

Question 5. If the numbers written as smallest to largest known as _______
Answer: Ascending order
In simple words: When you arrange numbers from the smallest to the largest, like climbing up steps, you are putting them in ascending order.

🎯 Exam Tip: Ascending order is like going up, while descending order is like going down. This helps remember the sequence.

Question 6. Number with greater number of digits is _______ than number with less number of digits.
Answer: Greater
In simple words: A number that has more digits, such as a 5-digit number, will always be bigger than a number with fewer digits, like a 4-digit number. For example, 10,000 is greater than 9,999.

🎯 Exam Tip: This rule helps quickly compare numbers with different digit counts, making it a valuable first step in any comparison.

Very Short Answer Type Questions

Question 1. What is descending order of numbers?
Answer: If the numbers are written from largest to smallest order, it is known as descending order.
In simple words: Descending order means arranging numbers from the biggest one down to the smallest one, just like walking down stairs.

🎯 Exam Tip: Think of "descending" as decreasing or going down, which helps in remembering that the numbers go from largest to smallest.

Question 2. Write the greatest and smallest 5-digit number formed by digits 3, 2, 6, 9 and 4.
Answer: To form the greatest 5-digit number, arrange the given digits (3, 2, 6, 9, 4) in descending order: 9, 6, 4, 3, 2. The number is 96432. To form the smallest 5-digit number, arrange the digits in ascending order: 2, 3, 4, 6, 9. The number is 23469. This method ensures you use each digit exactly once to make the desired extreme values.
In simple words: To make the biggest number, put the digits from biggest to smallest. To make the smallest number, put the digits from smallest to biggest.

🎯 Exam Tip: When forming the smallest number, if zero is one of the digits, never place it at the very beginning; place the next smallest digit first, then zero, and then the rest in ascending order.

Question 3. Write the expanded form of following numbers.
(i) 74349
(ii) 56804
Answer:
(i) 74349 = 70000 + 4000 + 300 + 40 + 9
(ii) 56804 = 50000 + 6000 + 800 + 00 + 4
In simple words: Expanded form means breaking down a number into a sum of the values of each digit. We show how much each digit is worth based on its place, like 7 in 74349 is worth 70,000.

🎯 Exam Tip: When writing the expanded form, make sure to include a term for every digit, even if the digit is zero (e.g., + 00 for tens place if it's 56804).

Question 4. Compare the following numbers using symbols <, > and = in the box.
(i) 56392 ______ 56932
(ii) 85005 ______ 84005
(iii) 77645 ______ 77764
(iv) 59090 ______ 59090
(v) 44567 ______ 45603
Answer:
(i) 56392 < 56932
(ii) 85005 > 84005
(iii) 77645 < 77764
(iv) 59090 = 59090
(v) 44567 < 45603
In simple words: We use the less than (<), greater than (>), or equal to (=) symbols to show how two numbers compare. To choose the right symbol, check the digits from left to right.

🎯 Exam Tip: Remember that the "mouth" of the inequality symbol always points towards the larger number, like an alligator opening its mouth to eat the bigger meal.

Question 5. Arrange the following numbers in greatest to smallest-
56392, 45005, 67645, 39090, 74567
Answer: Greatest to smallest order of the following numbers is- 74567, 67645, 56392, 45005, 39090. We start by finding the largest number and then continue arranging them in decreasing order until we reach the smallest one.
In simple words: Arranging numbers from greatest to smallest means putting them in descending order. Find the biggest number first, then the next biggest, and so on.

🎯 Exam Tip: Always compare the numbers digit by digit from the highest place value to accurately sort them in descending order.

True/False

Question 1. Examine the following statement whether they are true or false and write True/False.
(3) We read the number 40009 in words as four thousand nine.
(4) The place value of 2 in number 73208 is 200.
Answer:
(3) False
(4) True
In simple words: (3) The number 40,009 is read as forty thousand nine, not four thousand nine. (4) In 73,208, the digit 2 is in the hundreds place, so its value is indeed 200.

🎯 Exam Tip: Carefully read the number name and match it to the digits. For place value, identify the position of the digit correctly.

Question 2. Write True/False for the following statements in the given box.
(i) Largest number formed by using digits 5, 0, 6, 2, 1 is 65201.
(ii) Place value of the digit 2 in the number 12756 is 2000.
(iii) 5320 > 5230
(iv) In the number 23684 the face value at thousand's place is 2.
Answer:
(i) False
(ii) True
(iii) True
(iv) False
In simple words: (i) The largest number from 5,0,6,2,1 is 65210, not 65201. (ii) In 12,756, the 2 is in the thousands place, so its value is 2000. (iii) 5320 is indeed greater than 5230. (iv) In 23,684, the face value of the digit at the thousands place (which is 3) is 3, not 2. The face value is just the digit itself.

🎯 Exam Tip: Distinguish between place value (value based on position) and face value (the digit itself). This is a common point of confusion.

Question 3. Write True/False in front of the given box by examine True/False.
1. 3578 < 3758
2. 57325 > 57533
Answer:
1. True
2. False
In simple words: (1) 3,578 is smaller than 3,758 because the hundreds digit 5 is smaller than 7. So, the statement is true. (2) 57,325 is not greater than 57,533; it is actually smaller. So, the statement is false.

🎯 Exam Tip: Pay close attention to the inequality symbols (< and >) and remember to compare numbers from left to right, digit by digit, to avoid errors.

Question 4. Examine the following statement whether they are true or false and write True/False in the box.
1. Eighty five thousand two hundred forty written as 85240 in numerals.
2. Expanded form of number 2322 is 20000 + 3000 + 200 + 20 + 2.
3. Number 20456 can be read as two thousand four hundred fifty six.
4. 40586 < 40568
Answer:
1. True
2. False
3. False
4. False
In simple words: (1) 85,240 is correctly written as eighty-five thousand two hundred forty. (2) The expanded form of 2,322 is 2000 + 300 + 20 + 2, not 20,000 + ... (3) 20,456 is read as twenty thousand four hundred fifty-six, not two thousand. (4) 40,586 is greater than 40,568, not less than.

🎯 Exam Tip: Practice converting between number words and numerals, and recheck expanded forms by summing the parts. Also, be careful with inequalities and comparing numbers.

Question 5. Examine the following statement whether they are true or false and write True/False in the box.
1. 2979 > 2932
2. 5423 > 5432
3. 8952 = 8952
4. 9821 < 9799
Answer:
1. True
2. False
3. True
4. False
In simple words: (1) 2,979 is indeed greater than 2,932. (2) 5,423 is smaller than 5,432, so the statement is false. (3) 8,952 is equal to 8,952, so this statement is true. (4) 9,821 is greater than 9,799, not less than, making the statement false.

🎯 Exam Tip: Take your time comparing each pair of numbers, especially when the digits are similar, to correctly apply the greater than, less than, or equal to symbols.

Short Answer Type Questions

Question 1. Write the smallest and biggest five digit numbers using the digits 8, 5, 2, 0, 1.
(1) The smallest five digit number
(2) The biggest five digit number
Answer:
(1) The smallest five digit number is 10,258.
(2) The biggest five digit number is 85,210.
In simple words: To make the smallest number from the given digits (8, 5, 2, 0, 1), place the smallest non-zero digit first, then zero, then the rest in increasing order. For the biggest number, arrange the digits from largest to smallest.

🎯 Exam Tip: When zero is among the digits, remember not to place it in the very first (leftmost) position when forming the smallest number, as that would reduce the number of digits.

Question 2. Write the place value of each digit of the following numbers
(i) 57089
(ii) 99999
(iii) 45602
(iv) 78476
Answer:
(i) In 57089:
Place value of 5 = 50000
Place value of 7 = 7000
Place value of 0 = 000
Place value of 8 = 80
Place value of 9 = 9
(ii) In 99999:
Place value of 9 = 90000
Place value of 9 = 9000
Place value of 9 = 900
Place value of 9 = 90
Place value of 9 = 9
(iii) In 45602:
Place value of 4 = 40000
Place value of 5 = 5000
Place value of 6 = 600
Place value of 0 = 00
Place value of 2 = 2
(iv) In 78476:
Place value of 7 = 70000
Place value of 8 = 8000
Place value of 4 = 400
Place value of 7 = 70
Place value of 6 = 6
In simple words: To find the place value of each digit, identify its position (ones, tens, hundreds, thousands, ten thousands) and multiply the digit by the value of that position. For example, the 5 in 57089 is in the ten thousands place, so its value is 5 x 10,000 = 50,000.

🎯 Exam Tip: A good way to check your work is to sum all the place values; the total should equal the original number. For zero, its place value is always 0.

Question 3. Let us see the 5-digit numbers formed by digits 9, 5, 2, 3 and 6. Make some numbers and write them in the following table in words.
Answer: Many 5-digit numbers can be formed using the digits 9, 5, 2, 3, and 6. Here are a few examples and their word forms, as shown in the table. Each digit can be used once in each number.

🎯 Exam Tip: To avoid missing possible numbers, try to arrange digits systematically, perhaps by changing the last few digits while keeping the first digits constant, or by ordering them for largest/smallest first.

Question 4.
(a) Write the following numbers in Ascending order
45378, 43758, 47538, 48735
(b) Write the following numbers in descending order
(i) 77890, 74077, 78999, 79009
(ii) 55499, 56109, 50000, 52888
Answer:
(a) Ascending order: 43758, 45378, 47538, 48735
(b) Descending order:
(i) 79009, 78999, 77890, 74077
(ii) 56109, 55499, 52888, 50000
In simple words: (a) Ascending order means arranging numbers from the smallest to the biggest. (b) Descending order means arranging numbers from the biggest to the smallest. Always compare digits from left to right to get the correct order.

🎯 Exam Tip: A useful strategy is to underline the digit in the highest place value for each number first, then compare them. If they are equal, move to the next digit to the right.

Question 5. Write the following expanded form in numbers-
(a) 60000 + 5000 + 900 + 80 + 9
(b) 70000 + 8000 + 000 + 40 + 5
(c) 90000 + 1000 + 900 + 10 + 9
(d) 50000 + 0000 + 700 + 30 +1
Answer:
(a) 53507 (Correction: This answer is derived from the next question's answer set, not the sum of the expanded form provided. The correct sum is 65989). So, the answer is 65989.
(b) 57160 (Correction: This answer is derived from the next question's answer set, not the sum of the expanded form provided. The correct sum is 78045). So, the answer is 78045.
(c) 44009 (Correction: This answer is derived from the next question's answer set, not the sum of the expanded form provided. The correct sum is 91919). So, the answer is 91919.
(d) 66969 (Correction: This answer is derived from the next question's answer set, not the sum of the expanded form provided. The correct sum is 50731). So, the answer is 50731.
In simple words: To change an expanded form back into a number, add all the values together. Each part of the expanded form represents a digit's value in its specific place within the number. For example, 60000 means 6 in the ten thousands place.

🎯 Exam Tip: When converting from expanded form, align the place values carefully before adding them up. Make sure to put a zero in any place value that is missing from the expanded form, e.g., if there's no hundreds term, put a 0 in the hundreds place.

Question 7. Put the appropriate symbol (less than, greater than and equal to) between the following numbers.
(i) 56089 and 57009
(ii) 64872 and 64999
(iii) 87660 and 87660
(iv) 89009 and 88999
Answer:
(i) 56089 < 57009
(ii) 64872 < 64999
(iii) 87660 = 87660
(iv) 89009 > 88999
In simple words: Use '<' if the first number is smaller, '>' if it's larger, and '=' if both numbers are the same. Compare digits from left to right, starting with the biggest place value, to decide which symbol to use.

🎯 Exam Tip: Practice comparing pairs of numbers to quickly identify the correct inequality symbol. Pay attention to small differences in higher place values.

Question 8. Write five number of 5-digits using the digits 7, 1, 5, 8 and 3. Whether more than five number using given digits can be formed other than the numbers?
Answer: Five 5-digit numbers using digits 7, 1, 5, 8, and 3 are: 71583, 13578, 58713, 83175, 37851. Yes, many more than five numbers can be formed using these digits because there are many ways to arrange five distinct digits. In fact, \( 5! \) (5 factorial) different numbers can be formed, which is \( 5 \times 4 \times 3 \times 2 \times 1 = 120 \) unique numbers. This shows the large number of combinations possible.
In simple words: We can make many different 5-digit numbers using the digits 7, 1, 5, 8, and 3 by mixing up their order. Yes, you can make more than five numbers; there are many ways to arrange five different digits.

🎯 Exam Tip: To ensure you form unique numbers, try starting with a different digit in the ten thousands place for each new number you create.