R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 1 - Number System [Latest edition]

Write the numeral for each of the following number: Nine thousand eighteen

Write the numeral for each of the following number: Fifty-four thousand seventy-three

Write the numeral for each of the following number: Three lakh two thousand five hundred six

Write the numeral for each of the following number: Twenty lakh ten thousand eight

Write the numeral for each of the following number: Six crore five lakh fifty-seven

Write the numeral for each of the following number: Two crore two lakh two thousand two hundred two

Write the numeral for each of the following number: Twelve crore twelve lakh twelve thousand twelve

Write the numeral for each of the following number: Fifteen crore fifty lakh twenty thousand sixty-eight

Write each of the following numbers in words: 63,005

Write each of the following numbers in words: 7,07,075

Write each of the following numbers in words: 34,20,019

Write each of the following numbers in words: 3,05,09,012

Write each of the following numbers in words: 5,10,03,604

Write each of the following numbers in words: 6,18,05,008

Write each of the following numbers in words: 19,09,09,900

Write each of the following numbers in words: 6,15,30,807

Write each of the following numbers in words: 6,60,60,060

Write each of the following numbers in their expanded form: 15,768

Write each of the following numbers in their expanded form: 3,08,927

Write each of the following numbers in their expanded form: 24,05,609

Write each of the following numbers in their expanded form: 5,36,18,493

Write each of the following numbers in their expanded form: 6,06,06,006

Write each of the following numbers in their expanded form: 9,10,10,510

Write the corresponding numeral for each of the following: 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 1

Write the corresponding numeral for each of the following: 5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1

Write the corresponding numeral for each of the following: 2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1

Write the corresponding numeral for each of the following: 3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1

Find the difference between the place values of the two nines in 79520986.

Find the difference between the place value and the face value of 7 in 27650934.

How many 6-digit numbers are there in all?

How many 7-digit numbers are there in all?

How many thousands make a lakh?

How many thousands make a crore?

Find the difference between the number 738 and that obtained on reversing its digits.

What comes just after 9547999?

What comes just before 9900000?

What comes just before 10000000?

Write all 3-digit numbers using 2, 3, 4, taking each digit only once.

Write the smallest number of different digits formed by using the digits 3, 1, 0, 5 and 7.

Write the largest number of different digits formed by using the digits 2, 4, 0, 3, 6 and 9.

Rewrite the following numeral with proper commas, using the international place-value chart. Also, write the number name in the international system.

735821

Rewrite the following numeral with proper commas, using the international place-value chart. Also, write the number name in the international system.

6057894

Rewrite the following numeral with proper commas, using the international place-value chart. Also, write the number name in the international system.

56943821

Rewrite the following numeral with proper commas, using the international place-value chart. Also, write the number name in the international system.

37502093

Rewrite the following numeral with proper commas, using the international place-value chart. Also, write the number name in the international system.

90703006

Rewrite the following numeral with proper commas, using the international place-value chart. Also, write the number name in the international system.

89350064

Write the following in figures in the international place-value chart: Thirty million one hundred five thousand sixty-three

Write the following in figures in the international place-value chart: Fifty-two million two hundred five thousand six

Write the following in figures in the international place-value chart: Five million five thousand five

Fill in each of the following boxes with the correct symbol

1003467 ______ 987965

Fill in each of the following boxes with the correct symbol

3572014 ______ 10235401

Fill in each of the following boxes with the correct symbol

3254790 ______ 3260152

Fill in each of the following boxes with the correct symbol

10357690 ______ 11243567

Fill in each of the following boxes with the correct symbol

27596381 ______ 7965412

Fill in each of the following boxes with the correct symbol

47893501 ______ 47894021

Arrange the following numbers in descending order:

63521047, 7354206, 63514759, 7355014, 102345680

Arrange the following numbers in descending order:

5032786, 23794206, 5032790, 23756819, 987876

Arrange the following numbers in descending order:

190909, 1808088, 16060666, 16007777, 181888, 1808090

Arrange the following numbers in descending order:

199988, 1704382, 200175, 1702497, 201200, 1712040

Arrange the following numbers in descending order:

9873426, 24615019, 990357, 9874012, 24620010

Arrange the following numbers in descending order:

56943201, 5694437, 56944000, 5695440, 56943300

Arrange the following numbers in descending order:

700087, 8014257, 8015032, 10012458, 8014306

Arrange the following numbers in descending order:

1020304, 893245, 980134, 1021403, 893425, 1020216

The number of persons who visited the holy shrine of Mata Vaishno Devi during last two consecutive years was 13789509 and 12976498 respectively. How many persons visited the shrine during these two years?

Last year, three sugar factories in a town produced 24809565 bags, 18738576 bags and 9564568 bags of sugar respectively. How many bags were produced by all the three factories during last year?

A number exceeds 37684955 by 3615045. What is that number?

There were three candidates in an election. They received 687905 votes, 495086 votes and 93756 votes respectively. The number of invalid votes was 13849. If 25467 persons did not vote, find how many votes were registered.

A survey conducted on an Indian state shows that 1623546 people have only primary education; 9768678 people have secondary education; 6837954 people have higher education and 2684536 people are illiterate. If the number of children below the age of school admission is 698781, find the total population of the state.

In a particular year a company produced 8765435 bicycles. Next year, the number of bicycles produced was 1378689 more than those produced in the preceding year.
How many bicycles were produced during the second year?
How many bicycles were produced during these two years?

The sale receipt of a company during a year was Rs 20956480. Next year, it increased by Rs 6709570. What was the total sale receipt of the company during these two years?

The total population of a city is 28756304. If the number of males is 16987059, find the number of females in the city.

By how much is 13246510 larger than 4658642?

By how much is 5643879 smaller than one crore?

What number must be subtracted from 11010101 to get 2635967?

The sum of two numbers is 10750308. If one of them is 8967519, what is the other number?

A man had Rs 20000000 with him. He spent Rs 13607085 on buying a school building. How much money is left with him?

A society needed Rs 18536000 to buy a property. It collected Rs 7253840 as membership fee, took a loan of Rs 5675450 from a bank and collected Rs 2937680 as donation. How much is the society still short of?

A man had Rs 10672540 with him. He gave Rs 4836980 to his wife, Rs 3964790 to his son and the rest to his daughter. How much money was received by the daughter?

The cost of a chair is Rs 1485. How much will 469 such chairs cost?

How much money was collected from 1786 students of a school for a charity show if each student contributed Rs 625?

A factory produces 6985 screws per day. How many screws will it produce in 358 days?

Mr Bhaskar saves Rs 8756 every month. How much money will he save in 13 years?

A scooter costs Rs 36725. How much will 487 such scooters cost?

An aeroplane covers 1485 km in 1 hour. How much distance will it cover in 72 hours?

The product of two numbers is 13421408. If one of the numbers is 364, find the other.

If 36 flats cost Rs 68251500, what is the cost of each such flat?

The mass of a cylinder filled with gas is 30 kg 250 g and the mass of the empty cylinder is 14 kg 480 g. How much is the mass of the gas contained in it?

From a cloth 5 m long, a piece of length 2 m 85 cm is cut off. What is the length of the remaining piece?

In order to make a shirt, a length of 2 m 75 cm of cloth is needed. How much length of the cloth will be required for 16 such shirts?

For making 8 trousers of the same size, 14 m 80 cm of cloth is needed. How much cloth will be required for each such trouser?

The mass of a brick is 2 kg 750 g. What is the total mass of 14 such bricks?

The total mass of 8 packets, each of the same size, is 10 kg 600 g. What is the mass of each such packet?

A rope of length 10 m has been divided into 8 pieces of the same length. What is the length of each piece?

Round the following number to the nearest ten: 36

Round the following number to the nearest ten: 173

Round the following number to the nearest ten: 3869

Round the following number to the nearest ten: 16378

Round the following number to the nearest hundred: 814

Round the following number to the nearest hundred: 1254

Round the following number to the nearest hundred: 43126

Round the following number to the nearest hundred: 98165

Round the following number to the nearest thousand: 793

Round the following number to the nearest thousand: 4826

Round the following number to the nearest thousand: 16719

Round the following number to the nearest thousand: 28394

Round the following number to the nearest ten thousand: 17514

Round the following number to the nearest ten thousand: 26340

Round the following number to the nearest ten thousand: 34890

Round the following number to the nearest ten thousand: 272685

Estimate each sum to the nearest ten: (57 + 34)

Estimate each sum to the nearest ten: (43 + 78)

Estimate each sum to the nearest ten: (14 + 69)

Estimate each sum to the nearest ten: (86 + 19)

Estimate each sum to the nearest ten: (95 + 58)

Estimate each sum to the nearest ten: (77 + 63)

Estimate each sum to the nearest ten: (356 + 275)

Estimate each sum to the nearest ten: (463 + 182)

Estimate each sum to the nearest ten: (538 + 276)

Estimate each sum to the nearest hundred: (236 + 689)

Estimate each sum to the nearest hundred: (458 + 324)

Estimate each sum to the nearest hundred: (458 + 324)

Estimate each sum to the nearest hundred: (170 + 395)

Estimate each sum to the nearest hundred: (3280 + 4395)

Estimate each sum to the nearest hundred: (5130 + 1410)

Estimate each sum to the nearest hundred: (10083 + 29380)

Estimate each sum to the nearest thousand: (32836 + 16466)

Estimate each sum to the nearest thousand: (46703 + 11375)

Estimate each sum to the nearest thousand: There are 54 balls in box A and 79 balls in box B. Estimate the total number of balls in both the boxes taken together.

Estimate each difference to the nearest ten: (53 − 18)

Estimate each difference to the nearest ten: (97 − 38)

Estimate each difference to the nearest ten: (409 − 148)

Estimate each difference to the nearest hundred: (678 − 215)

Estimate each difference to the nearest hundred: (957 − 578)

Estimate each difference to the nearest hundred: (7258 − 2429)

Estimate each difference to the nearest hundred: (5612 − 3095)

Estimate each difference to the nearest thousand: (35863 − 27677)

Estimate each difference to the nearest thousand: (47005 − 39488)

Estimate each of the following products by rounding off each number to the nearest ten: 38 × 63

Estimate each of the following products by rounding off each number to the nearest ten: 54 × 47

Estimate each of the following products by rounding off each number to the nearest ten: 28 × 63

Estimate each of the following products by rounding off each number to the nearest ten: 42 × 75

Estimate each of the following products by rounding off each number to the nearest ten: 64 × 58

Estimate each of the following products by rounding off each number to the nearest ten: 15 × 34

Estimate each of the following products by rounding off each number to the nearest hundred: 376 × 123

Estimate each of the following products by rounding off each number to the nearest hundred: 264 × 147

Estimate each of the following products by rounding off each number to the nearest hundred: 423 × 158

Estimate each of the following products by rounding off each number to the nearest hundred: 509 × 179

Estimate each of the following products by rounding off each number to the nearest hundred: 392 × 138

Estimate each of the following products by rounding off each number to the nearest hundred: 271 × 339

Estimate each of the following products by rounding off the first number upwards and the second number downwards: 183 × 154

Estimate each of the following products by rounding off the first number upwards and the second number downwards: 267 × 146

Estimate each of the following products by rounding off the first number upwards and the second number downwards: 359 × 76

Estimate each of the following products by rounding off the first number upwards and the second number downwards: 472 × 158

Estimate each of the following products by rounding off the first number upwards and the second number downwards: 680 × 164

Estimate each of the following products by rounding off the first number upwards and the second number downwards: 255 × 350

Estimate each of the following products by rounding off the first number downwards and the second number upwards: 356 × 278

Estimate each of the following products by rounding off the first number downwards and the second number upwards: 472 × 76

Estimate each of the following products by rounding off the first number downwards and the second number upwards: 578 × 369

Find the estimated quotient for each of the following: 87 ÷ 28

Find the estimated quotient for each of the following: 83 ÷ 17

Find the estimated quotient for each of the following: 75 ÷ 23

Find the estimated quotient for each of the following: 193 ÷ 24

Find the estimated quotient for each of the following: 725 ÷ 23

Find the estimated quotient for each of the following: 275 ÷ 25

Find the estimated quotient for each of the following: 633 ÷ 33

Find the estimated quotient for each of the following: 729 ÷ 29

Find the estimated quotient for each of the following: 858 ÷ 39

Find the estimated quotient for each of the following: 868 ÷ 38

Express the following as a Roman numeral: 2

Express the following as a Roman numeral: 8

Express the following as a Roman numeral: 14

Express the following as a Roman numeral: 29

Express the following as a Roman numeral: 36

Express the following as a Roman numeral: 43

Express the following as a Roman numeral: 54

Express the following as a Roman numeral: 61

Express the following as a Roman numeral: 73

Express the following as a Roman numeral: 81

Express the following as a Roman numeral: 91

Express the following as a Roman numeral: 95

Express the following as a Roman numeral: 99

Express the following as a Roman numeral: 105

Express the following as a Roman numeral: 114

Express the following as a Roman numeral: 164

Express the following as a Roman numeral: 195

Express the following as a Roman numeral: 226

Express the following as a Roman numeral: 341

Express the following as a Roman numeral: 475

Express the following as a Roman numeral: 596

Express the following as a Roman numeral: 611

Express the following as a Roman numeral: 759

Express the following as a Hindu-Arabic numeral: XXVII

Express the following as a Hindu-Arabic numeral: XXXIV

Express the following as a Hindu-Arabic numeral: XLV

Express the following as a Hindu-Arabic numeral: LIV

Express the following as a Hindu-Arabic numeral: LXXIV

Express the following as a Hindu-Arabic numeral: XCI

Express the following as a Hindu-Arabic numeral: XCVI

Express the following as a Hindu-Arabic numeral: CXI

Express the following as a Hindu-Arabic numeral: CLIV

Express the following as a Hindu-Arabic numeral: CCXXIV

Express the following as a Hindu-Arabic numeral: CCCLXV

Express the following as a Hindu-Arabic numeral: CDXIV

Express the following as a Hindu-Arabic numeral: CDLXIV

Express the following as a Hindu-Arabic numeral: DVI

Express the following as a Hindu-Arabic numeral: DCCLXVI

Show that the following is meaningless. Give reasons.

VC

Show that the following is meaningless. Give reasons.

IL

Show that the following is meaningless. Give reasons.

VVII

Show that the following is meaningless. Give reasons.

IXX

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The place value of 6 in the numeral 48632950 is

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The face value of 4 in the numeral 89247605 is

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The difference between the place value and the face value of 5 in the numeral 78653421 is

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The smallest counting number is

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How many 4-digit numbers are there?

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How many 7-digit numbers are there?

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How many 8-digit numbers are there?

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What comes just before 1000000?

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Which of the following is not meaningful?

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Which of the following is not meaningful?

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Which of the following is not meaningful?

Write the following numeral in words: 16,06,23,708

Write the following numeral in words: 14,23,08,915

Write the following numeral in words: 80,060,409

Write the following numeral in words: 234,150,319

Arrange the following numbers in ascending order:

3903216, 19430124, 864572, 6940513, 16531079

Arrange the following numbers in descending order:

54796203, 4675238, 63240613, 5125648, 589623

How many 7-digit numbers are there in all?

Write the largest and smallest numbes using each of the digits 1, 4, 6, 8, 0 only once and find their difference.

Write the Hindu-Arabic numeral for the following: CCXLII 

Write the Hindu-Arabic numeral for the following: CDLXV

Write the Hindu-Arabic numeral for the following: LXXVI

Write the Hindu-Arabic numeral for the following: DCCXLI

Write the Hindu-Arabic numeral for the following: XCIV

Write the Hindu-Arabic numeral for the following: CXCIX

Write the Roman numeral for the following: 84

Write the Roman numeral for the following: 99

Write the Roman numeral for the following: 145

Write the Roman numeral for the following: 406

Write the Roman numeral for the following: 519

Write the successor and predecessor of 999999 and find their difference.

Round off the following to the nearest thousand: 1046

Round off the following to the nearest thousand: 973

Round off the following to the nearest thousand: 5624

Round off the following to the nearest thousand: 4368

Which of the following Roman numerals is correct?

1 Lakh = ...... thousands.

No Roman numeral can be repeated more than ..... times.

How many times does the digit 9 occur between 1 and 100?

(7268 − 2427) estimated to the nearest hundred is

One million = ...... .

1512 when round off to the nearest hundred is

Which of the symbols are never repeated?

Write 86324805 separating periods in HIndu-Arabic system.

Fill in the blanks:

1 crore = ...... lakh

Fill in the blanks:

1 crore = ...... million

Fill in the blanks:

564 when estimated to the nearest hundred is ...... .

Fill in the blanks:

The smallest 4-digit number with four different digits is ...... .

Write 'T' for true and 'F' for false

The difference in the face value and the place value of 5 in 85419 is 85414.

Write 'T' for true and 'F' for false

In Roman numerals V, L and D are never subtracted.

Write 'T' for true and 'F' for false

The successor of the greatest 5-digit number is 100000.

Write 'T' for true and 'F' for false

The estimated value of 46,530 to the nearest hundred is 46500.

Write 'T' for true and 'F' for false

100 lakhs make a million.