Class six math chapter 1.1 solution

Class six math chapter 1.1 solution

Sixth Grade Math Practice 1.1, Writing Numbers in Digits and Words, Place Value Determination for Sixth Grade, Largest and Smallest Number Determination, Math Practice 1.1 Solution, Sixth Grade Number Determination, Place Value of Numbers in Math Class 6, Digits and Words Practice 1.1, Sixth Grade Largest Smallest Number, Sixth Grade Math Number Determination Practice

1. Write the following numbers in digits:

(a) Twenty thousand seventy, thirty thousand eight, fifty-five thousand four hundred

Solution: Twenty thousand seventy:

After enumeration the number written in words, we see that there is no digit in the hundred’s place. By placing 0 in the empty place, the number is obtained. ∴ The number is = 20070.
Thirty thousand eight:

After enumeration the number written in words, we see that there is no digit in the hundred’s and ten’s place. By placing 0 in the empty places, the number is obtained. ∴ The number is = 30008.
Fifty-five thousand four hundred:

After enumeration the number written in words, we see that there is no digit in the unit and ten’s place. By placing 0 in the empty places, the number is obtained.

∴ The number is = 55400.

(b) Four lakh five thousand, seven lakh two thousand seventy-five. Solution: Four lakh five thousand:

After enumeration the number written in words, we see that there is no digit in the ten thousand, hundred, ten, and unit’s place. By placing 0 in the empty places, the number is obtained. ∴ The number is = 405000.
Seven lakh two thousand seventy-five:

After enumeration the number written in words, we see that there is no digit in the ten thousand and hundred’s place. By placing 0 in the empty places, the number is obtained. ∴ The number is = 702075.

(c) Seventy-six lakh nine thousand seventy, thirty lakh nine hundred four. Solution: Seventy-six lakh nine thousand seventy:

After enumeration the number written in words, we see that there is no digit in the ten thousand and hundred’s place. By placing 0 in the empty places, the number is obtained. ∴ The number is = 7609070.
Thirty lakh nine hundred four:

After enumeration the number written in words, we see that there is no digit in the ten thousand, thousand, and ten’s place. By placing 0 in the empty places, the number is obtained. ∴ The number is = 3000904.

(d) Five crore three lakh two thousand seven.

Solution: Five crore three lakh two thousand seven:

After enumeration the number written in words, we see that there is no digit in the ten lakh, ten thousand, hundred, and ten’s place. By placing 0 in the empty places, the number is obtained. ∴ The number is = 50302007.

(e) Ninety-eight crore seven lakh five thousand nine:
Solution:
To enumeration the number written in words, we observe that there are no digits in the ten lakh, ten thousand, hundred, and ten’s place. By placing zeros in those empty places, the number becomes:

The number is: 980705009.

(f) One hundred and two crore five thousand seven hundred eight:
Solution:
After enumeration the number, we see that there are no digits in the ten lakh, lakh, ten thousand, and ten’s place. So, we fill those spots with zeros.

The number is: 1020005708.

(g) Nine hundred and fifty-five crore seven lakh ninety:
Solution:
Breaking down the number, we find that there are no digits in the ten lakh, ten thousand, and hundred’s places. Filling those places with zeros, we get:

The number is: 9550700090.

(h) Three thousand five hundred crore eighty-five lakh nine hundred twenty-one:
Solution:
The number is in enumeration, and there are no digits in the ten thousand and thousand’s places. After filling those spots with zeros, we get:

The number is: 35008500921.

(i) Fifty billion three hundred one million five hundred thirty-eight thousand:
Solution:
Here, there are no digits in the hundred, ten, and unit’s places. We place zeros in those spots to complete the number.

The number is: 50301538000.

Write the following numbers in words:

(a) 45789; 41007; 891071

45789:
The two digits in the ten thousand and thousand places combine to form 45, the hundred’s place has 7, the ten’s place has 8, and the unit’s place has 9.
In words: Forty-five thousand seven hundred eighty-nine.

41007:
The two digits in the ten thousand and thousand places form 41, the hundred and ten places have zeros, and the unit’s place has 7.
In words: Forty-one thousand seven.

891071:
The lakh’s place has 8, the two digits in the ten thousand and thousand places form 91, the hundred’s place has 0, the ten’s place has 7, and the unit’s place has 1.
In words: Eight lakh ninety-one thousand seventy-one.

(b) 200078; 790678; 890075

200078:
The lakh’s place has 2, the ten thousand and thousand places have zeros, the hundred’s place has 0, the ten’s place has 7, and the unit’s place has 8.
In words: Two lakh seventy-eight.

790678:
The lakh’s place has 7, the two digits in the ten thousand and thousand places form 90, the hundred’s place has 6, the ten’s place has 7, and the unit’s place has 8.
In words: Seven lakh ninety thousand six hundred seventy-eight.

890075:
The lakh’s place has 8, the two digits in the ten thousand and thousand places form 90, the hundred’s place has 0, the ten’s place has 7, and the unit’s place has 5.
In words: Eight lakh ninety thousand seventy-five.

(g) 4400785; 6870509; 7105070
Solution:

4400785:
The digits in the ten lakh and lakh places combine to make 44, in the ten thousand and thousand places we have 00, the hundred’s place has 7, the ten’s place has 8, and the unit’s place has 5.
In words: Forty-four lakh seven hundred eighty-five.

6870509:
The digits in the ten lakh and lakh places combine to make 68, in the ten thousand and thousand places we have 70, the hundred’s place has 5, the ten’s place has 0, and the unit’s place has 9.
In words: Sixty-eight lakh seventy thousand five hundred nine.

7105070:
The digits in the ten lakh and lakh places combine to make 71, in the ten thousand and thousand places we have 05, the hundred’s place has 0, the ten’s place has 7, and the unit’s place has 0.
In words: Seventy-one lakh five thousand seventy.

(h) 50877003; 94309799; 83900765
Solution:

50877003:
The crore’s place has 5, the ten lakh and lakh places combine to make 08, the ten thousand and thousand places make 77, and the unit’s place is 3.
In words: Five crore eight lakh seventy-seven thousand three.

94309799:
The crore’s place has 9, the ten lakh and lakh places combine to make 43, the ten thousand and thousand places make 09, and the unit’s place is 9.
In words: Nine crore forty-three lakh nine thousand seven hundred ninety-nine.

83900765:
The crore’s place has 8, the ten lakh and lakh places combine to make 39, the thousand places make 0, and the unit’s place is 5.
In words: Eight crore thirty-nine lakh seven hundred sixty-five.

Determine the place value of each digit in the following numbers:

(a) 72:

Place value of 2 = 2 units = 2×1 = 2

Place value of 7 = 7 tens = 7×10 = 70

(b) 359:

Place value of 9 = 9 units = 9×1 = 9

Place value of 5 = 5 tens = 5×10 = 50

Place value of 3 = 3 hundreds = 3×100 = 300

(c) 4203:

Place value of 3 = 3 units = 3×1 = 3

Place value of 2 = 2 hundreds = 2×100 = 200

Place value of 4 = 4 thousands = 4×1000 = 4000

(d) 70809:

• Place value of 9 = 9 units = 9×1 = 9
• Place value of 8 = 8 hundreds = 8×100 = 800
• Place value of 7 = 7 ten-thousands = 7×10000 = 70000

(e) 130045078:

Place value of 8 = 8 units = 8×1 = 8

Place value of 7 = 7 tens = 7×10 = 70

Place value of 5 = 5 thousands = 5×1000 = 5000

Place value of 4 = 4 ten-thousands = 4×10000 = 40000

Place value of 3 = 3 crores = 3×10000000 = 30000000

Place value of 1 = 1 ten crore = 1×100000000 = 100000000

(f) 250009709:

Place value of 9 = 9 units = 9×1 = 9

Place value of 7 = 7 hundreds = 7×100 = 700

Place value of 9 = 9 thousands = 9×1000 = 9000

Place value of 5 = 5 crores = 5×10000000 = 50000000

Place value of 2 = 2 ten crores = 2×100000000 = 200000000

(g) 5900007845:

Place value of 5 = 5 units = 5×1 = 5

Place value of 4 = 4 tens = 4×10 = 40

Place value of 8 = 8 hundreds = 8×100 = 800

Place value of 7 = 7 thousands = 7×1000 = 7000

Place value of 9 = 9 ten crores = 9×10000000 = 900000000

Place value of 5 = 5 hundred crores = 5×100000000 = 5000000000

(h) 900758432:

Place value of 2 = 2 units = 2×1 = 2

Place value of 3 = 3 tens = 3×10 = 30

Place value of 4 = 4 hundreds = 4×100 = 400

Place value of 8 = 8 thousands = 8×1000 = 8000

Place value of 5 = 5 ten-thousands = 5×10000 = 50000

Place value of 7 = 7 lakhs = 7×100000 = 700000

Place value of 9 = 9 ten crores = 9×10000000 = 900000000

(i) 105780923004:

Place value of 4 = 4 units = 4×1 = 4

Place value of 3 = 3 thousands = 3×1000 = 3000

Place value of 2 = 2 ten-thousands = 2×10000 = 20000

Place value of 9 = 9 lakhs = 9×100000 = 900000

Place value of 8 = 8 crores = 8×10000000 = 80000000

Place value of 7 = 7 ten crores = 7×100000000 = 700000000

Place value of 5 = 5 hundred crores = 5×100000000 = 5000000000

Place value of 1 = 1 ten thousand crores = 1×10000000000 = 100000000000

Write the largest and smallest nine-digit numbers:

Largest nine-digit number: 999999999

Smallest nine-digit number: 100000000Using the digits only once, form the largest and smallest seven-digit numbers:

(a) 4, 5, 1, 2, 8, 9, 3:

Largest number: 9854321

Smallest number: 1234589

(b) 4, 0, 5, 3, 9, 8, 7:

Largest number: 9875430

Smallest number: 3045789 (Since placing 0 at the beginning would make it a six-digit number, we place 0 after the smallest non-zero digit.)

What is the largest and smallest seven-digit number starting with 7 and ending with 6?

Largest number: 7999996

Smallest number: 7000006

Reverse the digits of the number 73455 and express it in words:

The reversed number is 55437.

In words: Fifty-five thousand four hundred thirty-seven.