Husharmulga.com Class 7 Ganita Prakash Chapter – 3 A Peek Beyond the Point

Chapter – 3 A Peek Beyond the Point

Textbook Solution and Answer

Page No. 47

Question 1

Measure the objects shown in the picture and write their lengths.

Answer:

  • Eraser = 2 4/10 cm
  • Pencil = 4 5/10 cm = 4½ cm
  • Chalk = 1 4/10 cm

Page No. 49

Question 2

Arrange the following lengths in ascending order.

(a) 9/10

(b) 1 7/10

(c) 130/10

(d) 13 1/10

(e) 10 5/10

(f) 7 6/10

(g) 6 7/10

(h) 4/10

Answer:

4/10, 9/10, 1 7/10, 6 7/10, 7 6/10, 10 5/10, 130/10, 13 1/10


Page No. 50

Question 3

Arrange these lengths from the smallest to the largest.

  • 4 1/10
  • 4/10
  • 41/10
  • 41 1/10

Answer:

4/10, 41/10 (= 4 1/10), 41 1/10

Question 1

The lengths of different parts of a honeybee are given below. Calculate the total length of the honeybee.

Body PartLength
Head23102\frac{3}{10}2103​ units
Thorax54105\frac{4}{10}5104​ units
Abdomen75107\frac{5}{10}7105​ units

Answer:

Total length

= 2310+5410+75102\frac{3}{10}+5\frac{4}{10}+7\frac{5}{10}2103​+5104​+7105​

= 1521015\frac{2}{10}15102​ units

Answer: 1521015\frac{2}{10}15102​ units


Page No. 52

Question 2

The length of a Celestial Pearl Danio is 24102\frac{4}{10}2104​ cm, while the length of a Philippine Goby is 910\frac{9}{10}109​ cm. Find the difference between their lengths.

Answer:

Difference

= 24109102\frac{4}{10}-\frac{9}{10}2104​−109​

= 15101\frac{5}{10}1105​ cm

Answer: 15101\frac{5}{10}1105​ cm


Question 3

Observe each number pattern carefully. Identify the rule used in the sequence and complete it.

(a)

4, 43104\frac{3}{10}4103​, 46104\frac{6}{10}4106​, _____, _____, _____

Answer:

4910,  5210,  5510,  58104\frac{9}{10},\;5\frac{2}{10},\;5\frac{5}{10},\;5\frac{8}{10}4109​,5102​,5105​,5108​

Pattern: Add 310\frac{3}{10}103​ each time.


(b)

8210,  8710,  9210,8\frac{2}{10},\;8\frac{7}{10},\;9\frac{2}{10},8102​,8107​,9102​, _____, _____, _____, _____

Answer:

9710,  10210,  10710,  112109\frac{7}{10},\;10\frac{2}{10},\;10\frac{7}{10},\;11\frac{2}{10}9107​,10102​,10107​,11102​

Pattern: Add 510\frac{5}{10}105​ each time.


(c)

7610,  8710,7\frac{6}{10},\;8\frac{7}{10},7106​,8107​, _____, _____, _____, _____

Answer:

9810,  10910,  12,  131109\frac{8}{10},\;10\frac{9}{10},\;12,\;13\frac{1}{10}9108​,10109​,12,13101​

Pattern: Add 11101\frac{1}{10}1101​ each time.


(d)

5710,  5310,5\frac{7}{10},\;5\frac{3}{10},5107​,5103​, _____, _____, _____, _____

Answer:

4910,  4510,  4110,  37104\frac{9}{10},\;4\frac{5}{10},\;4\frac{1}{10},\;3\frac{7}{10}4109​,4105​,4101​,3107​

Pattern: Subtract 410\frac{4}{10}104​ each time.


(e)

13510,  13,  12510,13\frac{5}{10},\;13,\;12\frac{5}{10},13105​,13,12105​, _____, _____, _____

Answer:

12,;11510\frac{5}{10}105​,;11,;10510\frac{5}{10}105​

Pattern: Subtract 510\frac{5}{10}105​ each time.


(f)

11510,  10410,  9310,11\frac{5}{10},\;10\frac{4}{10},\;9\frac{3}{10},11105​,10104​,9103​, _____, _____, _____

Answer:

8210,  7110,  68\frac{2}{10},\;7\frac{1}{10},\;68102​,7101​,6

Pattern: Subtract 11101\frac{1}{10}1101​ each time.


Page No. 53

Question 4

How many one-hundredths are equal to one-tenth? Can the measurement also be written as 4 units and 45 one-hundredths?

Answer:110=10100\frac{1}{10}=\frac{10}{100}101​=10010​

Therefore,

10 one-hundredths make one-tenth.

Yes.4+45100=4.454+\frac{45}{100}=4.454+10045​=4.45

So, the measurement can also be read as 4 units and 45 one-hundredths.


Page No. 54

Question 5

Look at the number line. Write the missing measurements shown in the empty boxes.

Answer:

  • 55100\frac{55}{100}10055​
  • 155100\frac{155}{100}100155​
  • 174100\frac{174}{100}100174​
  • 202100\frac{202}{100}100202​
  • 240100\frac{240}{100}100240​

Question 6

Write each measurement shown below and read it in words.

(a)

Measurement5371005\frac{37}{100}510037​

In words

Five and thirty-seven hundredths


(b)

Measurement15310015\frac{3}{100}151003​

In words

Fifteen and three hundredths

age No. 55

Question 1

Write the following measurements in words.

(a)

Measurement: 7521007\frac{52}{100}710052​

Answer: Seven and fifty-two hundredths


(b)

Measurement: 9801009\frac{80}{100}910080​

Answer: Nine and eighty hundredths


Question 2

In each set of measurements given below, identify the longest and the shortest length. Then mark all the measurements on the given scale.

(a)

Answer:

  • Longest: 33100\frac{33}{100}10033​
  • Shortest: 3100\frac{3}{100}1003​

(b)

Answer:

  • Longest: 31103\frac{1}{10}3101​
  • Shortest: 13101\frac{3}{10}1103​

(c)

Answer:

  • Longest: 54100\frac{54}{100}10054​
  • Shortest: 410\frac{4}{10}104​

(d)

Answer:

  • Longest: 3661003\frac{66}{100}310066​
  • Shortest: 361003\frac{6}{100}31006​

Page No. 56

(e)

Answer:

  • Longest: 181001\frac{8}{100}11008​
  • Shortest: 9100\frac{9}{100}1009​

(f)

Answer:

  • Longest: 751007\frac{5}{100}71005​
  • Shortest: 73107\frac{3}{10}7103​

(g)

Answer:

  • Longest: 6651006\frac{65}{100}610065​
  • Shortest: 571005\frac{7}{100}51007​

Page No. 58

Figure It Out

Find the following sums and differences.


(a)

310+34100\frac{3}{10}+3\frac{4}{100}103​+31004​

Answer3341003\frac{34}{100}310034​


(b)

957100+2131009\frac{57}{100}+2\frac{13}{100}910057​+210013​

Answer117010011\frac{70}{100}1110070​

or1171011\frac{7}{10}11107​


(c)

1564100+143610015\frac{64}{100}+14\frac{36}{100}1510064​+1410036​

Answer303030


(d)

77100441007\frac{7}{100}-4\frac{4}{100}71007​−41004​

Answer331003\frac{3}{100}31003​


(e)

86100531008\frac{6}{100}-5\frac{3}{100}

Answer331003\frac{3}{100}


(f)

12621009910012\frac{62}{100}-\frac{99}{100}

Answer116310011\frac{63}{100}

Page No. 63

Question 1

Draw a place value table like the one shown in the textbook. Write each quantity in decimal form, express it using place values, and read the decimal aloud.

Answer

QuestionPlace ValueDecimal FormRead As
(a) 2 ones, 3 tenths and 5 hundredths2+310+51002+\frac{3}{10}+\frac{5}{100}2+103​+1005​2.35Two and thirty-five hundredths
(b) 1 ten and 5 tenths10+51010+\frac{5}{10}10+105​10.5Ten and five tenths
(c) 4 ones and 6 hundredths4+61004+\frac{6}{100}4+1006​4.06Four and six hundredths
(d) 1 hundred, 1 one and 1 hundredth100+1+1100100+1+\frac{1}{100}100+1+1001​101.01One hundred one and one hundredth
(e) 9 tenths and 8 hundredths910+8100\frac{9}{10}+\frac{8}{100}109​+1008​0.98Ninety-eight hundredths
(f) 5 hundredths5100\frac{5}{100}1005​0.05Five hundredths
(g) 1 tenth110\frac{1}{10}101​0.1One tenth

(h)

Express the following quantities in decimal form.

  • 211002\frac{1}{100}21001​
  • 41104\frac{1}{10}4101​
  • 7710007\frac{7}{1000}710007​

Answer

QuantityDecimal FormRead As
211002\frac{1}{100}21001​2.01Two and one hundredth
41104\frac{1}{10}4101​4.1Four and one tenth
7710007\frac{7}{1000}710007​7.007Seven and seven thousandths

Combined Decimal

2.01+4.1+7.007=13.1172.01+4.1+7.007=13.1172.01+4.1+7.007=13.117

Answer: 13.117

Read as:

Thirteen and one hundred seventeen thousandths.


Page No. 64

Question 2

Write the following quantities in decimal notation.

(a)

234 hundredths

Answer234100=2.34\frac{234}{100}=2.34100234​=2.34

Decimal Form: 2.34


(b)

105 tenths

Answer10510=10.5\frac{105}{10}=10.5

Decimal Form: 10.5

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