Number System - Class 4 - Mathematics
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Exercise 1.1 - Number System | Cambridge Maths Milestone | Mathematics | Class 4
Write the following numbers in the place value chart.
Numbers | Lakhs | Ten thousands | Thousands | Hundreds | Tens | Ones |
---|---|---|---|---|---|---|
1,23,4561,23,4561,23,456 | ||||||
32,781 | ||||||
7,23,9007,23,9007,23,900 | ||||||
1,89,4081,89,4081,89,408 | ||||||
24,598 | ||||||
79,008 |
To accurately place the given numbers on the place value chart, we need to identify each digit's position. Here's the breakdown in the place value chart format:
-
Number: 123456
- Lakhs: 1
- Ten thousands: 2
- Thousands: 3
- Hundreds: 4
- Tens: 5
- Ones: 6
-
Number: 32781
- Lakhs: 0
- Ten thousands: 3
- Thousands: 2
- Hundreds: 7
- Tens: 8
- Ones: 1
-
Number: 723900
- Lakhs: 7
- Ten thousands: 2
- Thousands: 3
- Hundreds: 9
- Tens: 0
- Ones: 0
-
Number: 189408
- Lakhs: 1
- Ten thousands: 8
- Thousands: 9
- Hundreds: 4
- Tens: 0
- Ones: 8
-
Number: 24598
- Lakhs: 0
- Ten thousands: 2
- Thousands: 4
- Hundreds: 5
- Tens: 9
- Ones: 8
-
Number: 79008
- Lakhs: 0
- Ten thousands: 7
- Thousands: 9
- Hundreds: 0
- Tens: 0
- Ones: 8
Here’s how the table would look:
Numbers | Lakhs | Ten thousands | Thousands | Hundreds | Tens | Ones |
---|---|---|---|---|---|---|
123456 | 1 | 2 | 3 | 4 | 5 | 6 |
32781 | 0 | 3 | 2 | 7 | 8 | 1 |
723900 | 7 | 2 | 3 | 9 | 0 | 0 |
189408 | 1 | 8 | 9 | 4 | 0 | 8 |
24598 | 0 | 2 | 4 | 5 | 9 | 8 |
79008 | 0 | 7 | 9 | 0 | 0 | 8 |
This formatted placement should help for clear visual and numerical representation.
Riya has jumbled up number names. Help her match them correctly.
a. Fifty-two thousand eight hundred six $\longrightarrow \quad 3,02,061$
b. Nine lakh four hundred three $\quad 52,806$
c. Three lakh two thousand sixty-one $\quad 9,00,403$
d. Eighty-seven thousand six hundred fifty-five $\quad 5,06,207$
e. Five lakh six thousand two hundred seven $\quad 87,6555$
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Sign up nowWrite numbers for the given number names and match them with the right ice cream 5-digit number or 6-digit number
a. Sixty-nine thousand eight hundred seventy-four
b. Four lakh sixteen thousand three hundred nine
c. Two lakh six hundred one
d. Eighteen thousand seven hundred five
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Sign up nowSome digits are trapped in cages here. To set them free we need to write down the place value () of digits in red cages and the face value []of digits in blue cages.
Place Value | Face Value | |
---|---|---|
a. (5)49[7]1 | ||
b. 92[7]51(1) | ||
c. [8]3(1)64 | ||
d. [1]8(2)649 |
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Sign up now5. Read the clues and match with the correct numbers.
## Clue
a. My ones digit is an even number and tens digit is 0 .
b. My ones digit has the same place value as well as the face value.
c. The face value of my thousands digit is 3 .
## Number
i. 34,781
ii. $9,13,074$
iii. 41,508
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Sign up nowExercise 1.2 - Number System | Cambridge Maths Milestone | Mathematics | Class 4
Write the expanded form of the following numbers.
a. $16,438=$
b. $5,43,721=$
c. $87,900=$
d. $2,61,000=$
e. $1,23,987=$
Let's expand each number based on its place value:
a. (16,438) $$ \begin{align*} 16,438 = & ; 10,000 ; + ; 6,000 ; + ; 400 ; + ; 30 ; + ; 8 \ \end{align*} $$
b. (5,43,721) $$ \begin{align*} 5,43,721 = & ; 5,00,000 ; + ; 40,000 ; + ; 3,000 ; + ; 700 ; + ; 20 ; + ; 1 \ \end{align*} $$
c. (87,900) $$ \begin{align*} 87,900 = & ; 80,000 ; + ; 7,000 ; + ; 900 \ \end{align*} $$
d. (2,61,000) $$ \begin{align*} 2,61,000 = & ; 2,00,000 ; + ; 60,000 ; + ; 1,000 \ \end{align*} $$
e. (1,23,987) $$ \begin{align*} 1,23,987 = & ; 1,00,000 ; + ; 20,000 ; + ; 3,000 ; + ; 900 ; + ; 80 ; + ; 7 \ \end{align*} $$
These expanded forms show the contributions of each digit based on its placement in terms of hundreds, thousands, ten thousands, etc.
Junaid has written the standard forms for the following expanded forms. Let us check if he has got them right. If the standard form is not correct, write it correctly in the given box.
a. $3 \times 10,000+4 \times 1000+8 \times 100+9 \times 1=3489$
b. $2 \times 1,00,000+6 \times 1000+1 \times 100+9 \times 10+4 \times 1=2,06,194$
c. $6 \times 10,000+6 \times 1000+8 \times 100+4 \times 1=6,68,004$
d. $5 \times 10,000+2 \times 1000+9 \times 100+6 \times 10=52,960$
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Sign up nowExercise 1.3 - Number System | Cambridge Maths Milestone | Mathematics | Class 4
Jaidev likes even numbers and Rukhsar likes odd numbers. Write the predecessors for all the numbers here that Rukhsar likes. Write the successors for the ones that Jaidev likes.
a. $7,82,531$
b. $8,91,315$
c. 43,528
d. $9,17,822$
e. 12,989
f. $2,43,524$
To solve this, we'll identify odd and even numbers from each list and determine the predecessors for odd numbers (which Rukhsar likes) and successors for even numbers (which Jaidev likes):
a. 7, 82, 531
- Odd numbers (Rukhsar likes): 7, 531
- Predecessors: 6, 530
- Even number (Jaidev likes): 82
- Successor: 83
b. 8, 91, 315
- Odd numbers (Rukhsar likes): 91, 315
- Predecessors: 90, 314
- Even number (Jaidev likes): 8
- Successor: 9
c. 43, 528
- Odd number (Rukhsar likes): 43
- Predecessor: 42
- Even number (Jaidev likes): 528
- Successor: 529
d. 9, 17, 822
- Odd numbers (Rukhsar likes): 9, 17
- Predecessors: 8, 16
- Even number (Jaidev likes): 822
- Successor: 823
e. 12, 989
- Odd number (Rukhsar likes): 989
- Predecessor: 988
- Even number (Jaidev likes): 12
- Successor: 13
f. 2, 43, 524
- Odd number (Rukhsar likes): 43
- Predecessor: 42
- Even numbers (Jaidev likes): 2, 524
- Successors: 3, 525
Each line first lists the predecessor(s) of the odd number(s) followed by the successor(s) of the even number(s).
Compare the following numbers by putting the 'greater than $(>)$ ', 'lesser than $(<)$ ' or 'equal to $(=)$ ' sign
a. $4,87,201$, $6,78,214$
b. $5,61,289$ , 47,281
c. 38,541, 89,251
d. $9,02,131$ , 45,328
e. 10,342 , 29,044
f. $6,87,651$ , $6,87,651$
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Sign up nowArrange the following numbers in ascending order.
a. $29,126 \quad 29,763 \quad 23,714 \quad 28,915 \quad 20,961$
b. $18,234 \quad 17,945 \quad 17,947 \quad 1,18,432 \quad 2,18,963$
$\begin{array}{lllll}\text { c. } 2,39,872 & 39,931 & 5,64,213 & 22,231 & 14,113\end{array}$
d. $6,12,041 \quad 6,15,104 \quad 5,31,325 \quad 4,06,219 \quad 6,18,046$
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Sign up nowArrange the following numbers in descending order.
a. $79,420 \quad 78,611 \quad 79,007 \quad 79,138 \quad 78,532$
$\begin{array}{lllll}\text { b. } 6,64,213 & 66,375 & 2,56,142 & 4,56,199 & 26,253\end{array}$
c. $5,84,201 \quad 5,93,215 \quad 5,60,825 \quad 5,89,134 \quad 5,99,911$
d. $2,78,945 \quad 65,012 \quad 35,468 \quad 2,24,577 \quad 47,836$
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Sign up nowExercise 1.4 - Number System | Cambridge Maths Milestone | Mathematics | Class 4
Form the smallest and the greatest 5- and 6-digit numbers using each of these digits only once.
Digits | Smallest Number | Greatest Number |
---|---|---|
a. $2,9,5,3,1$ | ||
b.$3,7,8,0,1$ | ||
c. $6,9,3,2,8,5$ | ||
d. $1,0,4,9,5,3$ |
To form the smallest and the greatest numbers with the given digits:
- Smallest Number: Arrange the digits in ascending order.
- Greatest Number: Arrange the digits in descending order.
For each set of digits:
a. $2,9,5,3,1$
- Smallest Number: $12359$
- Greatest Number: $95321$
b. $3,7,8,0,1$
- Smallest Number: $10378$ (0 is put after the smallest non-zero digit to make a 5-digit number)
- Greatest Number: $87310$
c. $6,9,3,2,8,5$
- Smallest Number: $235689$
- Greatest Number: $986532$
d. $1,0,4,9,5,3$
- Smallest Number: $103459$ (0 is put after the smallest non-zero digit to make a 6-digit number)
- Greatest Number: $954310$
These numbers are formed by directly ordering the digits based on the rules for smallest and greatest values without repetition.
Circle the numbers that would round off up to the nearest hundreds to give us the number in the box.
a. 83,$109 ; 82,117 ; 83,205$ - 83200
b. $2,91,653 ; 2,91,613 ; 2,91,317$ - 291700
c. 31,$909 ; 32,363 ; 32,308$ - 32400
d. 12,$873 ; 12,819 ; 12,850$ - 12800
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Sign up nowRound off the following numbers to the nearest 10 s.
a. 35,467
b. $2,19,065$
c. $4,68,565$
d. 49,595
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Sign up nowRound off the 5 -digit numbers to the nearest 100 s and 6 -digit numbers to the nearest 1000 s.
a. $8,52,715$
b. 94,103
c. 61,885
d. $9,13,842$
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Sign up nowExercise 1.5 - Number System | Cambridge Maths Milestone | Mathematics | Class 4
Write these Hindu-Arabic numbers as Roman numerals.
a. 35
b. 22
c. 15
d. 61
e. 111
f. 138
Here are the conversions of the Hindu-Arabic numbers to Roman numerals:
a. 35 - XXXV b. 22 - XXII c. 15 - XV d. 61 - LXI e. 111 - CXI f. 138 - CXXXVIII
Write these Roman numerals as Hindu-Arabic numbers.
a. LXII
b. CI
c. XII
d. C.
e. XL
f. XXV
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Sign up nowChapter Review - Number System | Cambridge Maths Milestone | Mathematics | Class 4
On rounding off 34,591 to the nearest 100 s, we get:
a. 35,000
b. 34,600
c. 34,500
d. 35,600
To round off 34,591 to the nearest 100s, consider the digits in hundreds and tens place. The number is 34,591:
The hundreds digit is '5'.
The tens digit is '9'.
When rounding to the nearest 100, if the tens digit is 5 or more, we round up. Therefore, 34,591 rounds up to 34,600.
The correct answer is: b. 34,600
The standard form of $6 \times 10,000+3 \times 1000+2 \times 100+8 \times 10+7$ is:
a. 63,287
b. 63,278
c. 62,387
d. 6328
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Sign up nowThere are 7 letters used as Roman numerals: I, V, X, L, C, D, M
a. Form the greatest 6-digit number without repetition.
b. Form the smallest 5-digit number without repetition.
c. Represent the half of XII as Roman numeral.
d. Represent the current year as a Roman numeral.
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