Ex-1.1 Knowing Our Numbers, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download

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.

(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

(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

(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

i) 3057 = 3 × 1000 + 0 × 100 + 5 × 10 + 7 × 1

ii) 12345 = 1 × 10000 + 2 × 1000 + 3 × 100 + 4 × 10 + 5 × 1

iii) 10205 = 1 × 10000 + 0 × 1000 + 2 × 100 + 0 × 10 + 5 × 1

iv) 235060 = 2 × 100000 + 3 × 10000 + 5 × 1000 + 0 × 100 + 6 × 10 + 0 × 1

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

(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

(i) Place value of 4 = 4 x 10,00,000 = 40,00,000

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

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

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.

Place value of first 7 = 7 x 100 = 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.

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?

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?

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

(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 Lakh = ------ ten thousand
(ii) 1 Lakh = ------ thousand
(iii) 1 Lakh = ------- hundred
(iv) 1 Lakh = ------- ten
(v) 1 crore = ----- ten Lakh
(vi) 1 crore = ----- Lakh
(vii)1 crore = ------ ten thousand
(viii) 1 crore = ------- thousand
(ix) 1 crore = ------- hundred
(x) 1 crore = ------ ten

(i) 1 Lakh = 10 ten thousand

(ii) 1 Lakh = 100 thousand

(iii) 1 Lakh = 1000 hundred

(iv) 1 Lakh = 10000 ten

(v) 1 crore = 10 ten Lakh

(vi) 1 crore = 100 Lakh

(vii) 1 crore = 1000 ten thousand

(viii) 1 crore = 10000 thousand

(ix) 1 crore = 100000 hundred

(x) 1 crore = 1000000 ten