The document RD Sharma Solutions - Ex-1.1 Knowing Our Numbers, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.

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**Q1) Write each of the following in numeral form :**

**i) Eight thousand twelve**

**ii) Seventy thousand fifty-three**

**iii) Five lakh seven thousand four hundred six**

**iv) Six lakh tow thousand nine**

**v) Thirty lakh eleven thousand one**

**vi) Eight crore four lakh twenty-five.**

**vii) Three crore three thousand three hundred three**

**viii) Seventeen crores sixty lakh thirty thousand fifty-seven.**

**Sol :** i) 8,012

ii) 70,053

iii) 5,07,406

iv) 6,02,009

v) 30,11,001

vi) 8,04,00,025

vii) 3,03,03,303

viii) 17,60,30,057

**Q2) Write the following numbers in words in the Indian system of numeration.**

**i) 42,007**

**ii) 4,05,045**

**iii) 35,42,012**

**iv) 7,06,04,014**

**v) 25,05,05,500**

**vi) 5,50,50,050**

**vii) 5,03,04,012**

**Sol : **i) Forty two thousand seven.

ii) Four lakh five thousand forty five.

iii) Thirty five lakh forty two thousand twelve.

iv) Seven crore six lakh four thousand fourteen.

v) Twenty five crore five lakh five thousand five hundred.

vi) Five crore fifty lakh fifty thousand fifty.

vii) Five crore three lakh four thousand twelve.

**Q3) Insert commas in the correct positions to separate periods and write the following numbers in words:**

**i) 4375**

**ii) 24798**

**iii) 857367**

**iv) 9050784**

**v) 10105607**

**vi) 10000007**

**vii) 910107104**

**Sol : **i) 4,357

ii) 24,798

iii) 8,57,367

iv) 90,50,784

v) 1,01,05,607

vi) 1,00,00,007

vii) 91,01,07,104

**Q4) Write each of the following in expanded form:**

**i) 3057**

**ii) 12345**

**iii) 10205**

**iv) 235060**

**Sol : **i) 3000 + 50 + 7

ii) 10000 + 2000 + 300 + 40 + 5

iii) 10000 + 200 + 5

iv) 200000 + 30000 + 5000 + 60

**Q5) Write the corresponding numeral for each of the following :**

**i) 7 x 10000 + 2 x 1000 + 5 x 100 + 9 x 10 + 6 x 1**

**ii) 4 x 100000 + 5 x 1000 + 1 x 100 + 7 x 1**

**iii) 8 x 1000000 + 3 x 1000 + 6 x 1**

**iv) 5 x 10000000 + 7 x 1000000 + 8 x 1000 + 9 x 10 + 4**

**Sol : **i) 70000 + 2000 + 500 + 90 + 6 = 72,596

ii) 400000 + 5000 + 100 + 7 = 4,05,107

iii) 8000000 + 3000 + 6 = 80,03,006

iv) 50000000 + 7000000 + 8000 + 90 + 4 = 5,70,08,094

**Q6) Find the place value of the digit 4 in each of the following :**

**i) 74983160**

**ii) 8745836**

**Sol : **i) Place value of 4 = 4 x 10,00,00 = 40,00,00

ii) Place value of 4 = 4 x 10,000 = 40,000

**Q7) Determine the product of the place values of two fives in 450758.**

**Sol : **Place value of first 5 = 5 x 10 = 50

Place value of second 5 = 5 x 10,000 = 50,000

Required product = 50 x 50,000 = 25, 00,000

**Q8) Determine the difference of the place values of 7’s in 257839705.**

**Sol : **Place value of first 7 = 7 x 10 = 700

Place value of second 7 = 7 x 10,000 = 70, 00,000

Required difference = 70, 00,000 – 700 = 69, 99,300

**Q9) Determine the difference between the place value and the face value of 5 in 78654321.**

**Sol : **The number = 7, 86, 54, 321

The place value of 5 = 5 ten thousands = 50,000

The face value of 5 = 5

Therefore, the difference = 50,000 – 5 = 49,995

**Q10) Which digits have the same face value and place value in 92078634?**

**Sol : **The place value of a digit depends on the place where it occurs, while the face value is the value of the digit itself.

In a number, the digits that have same face value and place value are the ones digit and all the zeroes of the number.

Therefore, in 9, 20, 78,634, 4 ( the ones digit ) and 0 ( the lakhs digit ) have the same face value and place value

**Q11) How many different 3- digit numbers can be formed by using the digits 0,2,5 without repeating any digit in the number ?**

**Sol : **The three-digit numbers formed using the digits 0, 2 and 5 ( without repeating any digit in the number ) are 250 , 205 , 502 and 520.

Therefore, four such numbers can be formed.

**Q12) Write all possible 3- digit numbers using 6,0,4 when**

**i) Repetition of digits is not allowed**

**ii)Repetition of digits is allowed**

**Sol :** i)604, 640, 460, 406

ii)666, 664, 646, 660, 606, 600, 644, 640, 604, 444, 466, 440, 446,464, 400, 404, 406, 460

**Q13) Fill in the blanks :**

**i)1 Iakh = ------ ten thousand**

**ii) 1 Iakh = ------ thousand**

**iii) 1 Iakh = ------- hundred**

**iv) 1 Iakh = ------- ten**

**v) 1 crore = ----- ten Iakh**

**vi) 1 crore = ----- Iakh**

**vii)1 crore = ------ ten thousand**

**viii) 1 crore = ------- thousand**

**ix) 1 crore = ------- hundred**

**x) 1 crore = ------ ten**

**Sol : **i) 1 Iakh = 10 ten thousand

ii) 1 Iakh = 100 thousand

iii) 1 Iakh = 1000 hundred

iv) 1 Iakh = 10000 ten

v) 1 crore = 10 ten Iakh

vi) 1 crore = 100 Iakh

vii) 1 crore = 1000 ten thousand

viii) 1 crore = 10000 thousand

ix) 1 crore = 100000 hundred

x) 1 crore = 1000000 ten