How many three-digit number can be formed by using the numbers 0 , 4 , 7 ? Write in the following table. Sl. No. Number Expanded form in the place value Does the number have three digits? 1 . 047 000 + 40 + 7 No 2 . 407 400 + 00 + 7 Yes 3 . _____ _____ _____ 4 . _____ _____ _____ 5 . _____ _____ _____ 6 . _____ _____ _____

On fixing 0 in units place, we get two numbers by shuffling the position of 4 and 7 . And, the numbers formed are 470 and 740 . Both are three-digit numbers. On fixing 0 in tens place, we get two numbers by shuffling the position of 4 and 7 . And, the numbers formed are 407 and 704 . Both are three-digit numbers. On fixing 0 in hundreds place, we get two numbers by shuffling the position of 4 and 7 . And, the numbers formed are 047 and 074 . Both are two-digit numbers and not three-digit numbers as 0 is placed in extreme left of the numbers which has no value if placed this way. Now, expanded form of a number is a way of writing the number to define the individual digit value. When the number is written using place value, it will create a new algebraic expression. Example: For number 376 Here, 3 - Hundreds place, 7 - Tens place, 6 - Units place Expanded form of 376 = 300 + 70 + 6 , which is of the form 100 a + 10 b + c Hence, the updated table is shown below: Sl. No. Number Expanded form in the place value Does the number have three digits? 1 . 047 000 + 40 + 7 No 2 . 407 400 + 00 + 7 Yes 3 . 074 000 + 70 + 4 No 4 . 704 700 + 00 + 4 Yes 5 . 470 400 + 70 + 0 Yes 6 . 740 700 + 40 + 0 Yes

Complete the table. Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = 3 , b = 0 , c = 4 _____ _____ = 304

We know that, expanded form of a three-digit number is given by 100 · a + 10 · b + c ....... 1 where, a - Digit at hundreds place b - Digit at tens place c - Digit at units place Now, substituting a = 3 , b = 0 , c = 4 in eq 1 , we get Expanded form = 100 × 3 + 10 × 0 + 4 = 300 + 00 + 4 = 304 (given) Hence, the updated table is shown below: Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = 3 , b = 0 , c = 4 100 × 3 + 10 × 0 + 4 300 + 00 + 4 = 304

Complete the table. Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = 0 , b = 7 , c = 5 _____ _____

We know that, expanded form of a three-digit number is given by 100 · a + 10 · b + c ....... 1 where, a - Digit at hundreds place b - Digit at tens place c - Digit at units place Now, substituting a = 0 , b = 7 , c = 5 in eq 1 , we get Expanded form = 100 × 0 + 10 × 7 + 5 = 000 + 70 + 5 = 075 Hence, the updated table is shown below: Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = 0 , b = 7 , c = 5 100 × 0 + 10 × 7 + 5 000 + 70 + 5 = 075

Complete the table. Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = _____, b = _____, c = _____ _____ _____

We know that, expanded form of a three-digit number is given by 100 · a + 10 · b + c ....... 1 where, a - Digit at hundreds place b - Digit at tens place c - Digit at units place Consider a = 5 , b = 1 , c = 2 Now, substituting a = 5 , b = 1 , c = 2 in eq 1 , we get Expanded form = 100 × 5 + 10 × 1 + 2 = 500 + 10 + 2 = 512 Hence, the updated table is shown below: Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = 5 , b = 1 , c = 2 100 × 5 + 10 × 1 + 2 500 + 10 + 2 = 512

Complete the table. Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = _____, b = _____, c = _____ _____ _____

We know that, expanded form of a three-digit number is given by 100 · a + 10 · b + c ....... 1 where, a - Digit at hundreds place b - Digit at tens place c - Digit at units place Consider a = 3 , b = 2 , c = 9 Now, substituting a = 3 , b = 2 , c = 9 in eq 1 , we get Expanded form = 100 × 3 + 10 × 2 + 9 = 300 + 20 + 9 = 329 Hence, the updated table is shown below: Sl. No. Value of a , b , c 100 · a + 10 · b + c Number 1 . a = 3 , b = 2 , c = 9 100 × 3 + 10 × 2 + 9 300 + 20 + 9 = 329

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The numerator of any fraction is $2$ more than the denominator. If the numerator is $5$ , what will be the fraction?

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Important Questions on Playing with Numbers

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8th Chhattisgarh Board

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Mathematics Class - VIII>Chapter 17 - Playing with Numbers>Activity 1>Q 3

How many three-digit number can be formed by using the numbers $0, 4, 7$ ? Write in the following table.

Sl. No.	Number	Expanded form in the place value	Does the number have three digits?
$1$ .	$047$	$000 + 40 + 7$	No
$2$ .	$407$	$400 + 00 + 7$	Yes
$3$ .	_____	_____	_____
$4$ .	_____	_____	_____
$5$ .	_____	_____	_____
$6$ .	_____	_____	_____