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Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number? (a) 0.8 (b) 5.1 (c) 2.6 (d) 6.4 (e) 9.1 (f) 4.9

Solution: (a) 0.8 lies between the numbers 0 and 1 0.8 is nearer to 1 (b) 5.1 lies between the numbers 5 and 6 5.1 is nearer to 5 (c) 2.6... View Article

Express the following as cm using decimals. (a) 2 mm (b) 30 mm (c) 116 mm (d) 4 cm 2 mm (e) 162 mm (f) 83 mm

Solution: From the conversions w know that 1 cm = 10 mm 1 mm = 1 / 10 cm (a) 2 mm = 2 / 10 cm = 0.2 cm (b) 30 mm = 30 / 10 cm = 3.0 cm (c)... View Article

Write the following decimals as fractions. Reduce the fraction to lowest form. (a) 0.6 (b) 2.5 (c) 1.0 (d) 3.8 (e) 13.7 (f) 21.2 (g) 6.4

Solution (a)0.6 = 6 / 10= 3 / 5 (b) 2.5 = 25 / 10= 5 / 2 (c) 1.0 = 1 (d) 3.8 = 38 / 10 = 19 / 5 (e) 13. 7 = 137 / 10 (f) 21.2 = 212 / 10 =... View Article

Write each of the following as decimals: (a) 5 / 10 (b) 3 + 7 / 10 (c) 200 + 60 + 5 + 1 / 10 (d) 70 + 8 / 10 (e) 88 / 10

Solution (a)5 / 10 = 0.5 (b) 3 + 7 / 10 = 3 + 0.7 = 3.7 (c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1 = 265.1 (d) 70 + 8 / 10 = 70 + 0.8 = 70.8... View Article

Write each of the following as decimals: (a) Seven-tenths (b) Two tens and nine-tenths (c) Fourteen point six (d) One hundred and two ones (e) Six hundred point eight

Solution (a)The decimal form of Seven-tenths is 7 / 10 = 0.7 (b) The decimal form of two tens and nine tenths is 20 + 9 / 10 = 20.9 (c) The... View Article

Write the following decimals in the place value table. (a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9

Solution: The given values can be represented in place value table as shown below Hundreds Tens Ones Tenths 19.4 0 1 9 4... View Article

Write the following numbers in the given table.

Hundreds Tens Ones Tenths (100) (10) (1) (1 / 10) Solution: From the given diagram the table can be completed as... View Article

Jaidev takes 2(1/5) minutes to walk across the school ground. Rahul takes 7 / 4 minutes to do the same. Who takes less time and by what fraction?

Given Time taken by Jaidev to walk across the school ground = 2\frac{1}{5}= 11 / 5 minutes Time is taken by Rahul to walk across the school... View Article

Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5 / 6 th full and Samuel’s shelf is 2/ 5 th full. Whose bookshelf is more full? By what fraction?

Given Fraction of Asha’s bookshelf = 5 / 6 Fraction of Samuel’s bookshelf = 2 / 5 Find out We have to determine whose... View Article

Nandini’s house is 9 / 10 km from her school. She walked some distance and then took a bus for 1 / 2 km to reach the school. How far did she walk?

Given Distance of the school from house = 9 / 10 km Distance she travelled by bus = 1 / 2 km Find out We have to determine the distance... View Article

A piece of wire 7 / 8 metre long broke into two pieces. One piece was 1 / 4 metre long. How long is the other piece?

Given Total length of wire = 7 / 8 metre Length of one piece of wire = 1 / 4 metre Find out We have to determine the how long is the... View Article

Complete the addition and subtraction box.

Solution Solution: (a) 2 / 3 + 4 / 3 = (2 + 4) / 3 = 6 / 3 = 2 1 / 3 + 2 / 3 = (1 + 2) / 3 = 3 / 3 = 1 2 / 3 – 1 / 3 = (2... View Article

Fill in the boxes: (a) ▯ – 5 / 8 = 1 / 4 (b) ▯ – 1 / 5 = 1 / 2 (c) 1 / 2 – ▯ = 1 / 6

Solution (a)▯ – 5 / 8 = 1 / 4 ▯ = 1 / 4 + 5 / 8 ▯ = [(1 × 2 + 5)] / 8 ▯ = 7 / 8 7/8 – 5 / 8 = 1 / 4 (b) ▯ – 1... View Article

Naina was given 1(1/2) piece of cake and Najma was given 1(1/3) piece of cake. Find the total amount of cake was given to both of them.

Given Fraction of cake Naina got = = 3 / 2 Fraction of cake Najma got = = 4 / 3 Find out We have to determine the total fraction of cake... View Article

Sarita bought 2 / 5 metre of ribbon and Lalita 3 /4 metre of ribbon. What is the total length of the ribbon they bought?

Given Ribbon length bought by Sarita = 2 / 5 metre Ribbon length bought by Lalita = 3 / 4 metre Find out We have to determine the total length of... View Article

Solve (a) 2 / 3 + 1 / 7 (b) 3 / 10 + 7 / 15 (c) 4 / 9 + 2 / 7 (d) 5 / 7 + 1 / 3 (e) 2 / 5 + 1 / 6 (f) 4 / 5 + 2 / 3 (g) 3 / 4 – 1 / 3 (h) 5 / 6 – 1 / 3 (i) 2 / 3 + 3 / 4 + 1 / 2 (j) 1/ 2 + 1 / 3 + 1 / 6

Solution (a) 2 / 3 + 1/ 7 LCM of 3 and 7 is 21 [(2 × 7) + (1 × 3)] / 21 = (14 + 3) / 21 = 17 / 21 (b) 3 / 10 + 7 / 15 LCM of 10 and 15... View Article

Javed was given 5 / 7 of a basket of oranges. What fraction of oranges was left in the basket?

Given Fraction of oranges given to Javed = 5 / 7 Find out We have to determine fraction of oranges left in the basket Solution Fraction of... View Article

Fill in the missing fractions. (a) 7 / 10 – ▯ = 3 / 10 (b) ▯ – 3 / 21 = 5 / 21 (c) ▯ – 3 / 6 = 3 / 6 (d) ▯ + 5 / 27 = 12 / 27

(a)Given that 7 / 10 – ▯ = 3 / 10 ▯ = 7 / 10 – 3 / 10 ▯ = (7 – 3) / 10 ▯ = 4 / 10 ▯ = 2 / 5 7 / 10 – 2/5 = 3 /... View Article

Shubham painted 2 / 3 of the wall space in his room. His sister Madhavi helped and painted 1 / 3 of the wall space. How much did they paint together?

Given Wall space painted by Shubham in a room = 2 / 3 Wall space painted by Madhavi in a room = 1 / 3 Find out We have to determine how much... View Article

Solve: (a) 1 / 18 + 1 / 18 (b) 8 / 15 + 3 / 15 (c) 7 / 7 – 5 / 7 (d) 1 / 22 + 21 / 22 (e) 12 / 15 – 7 / 15 (f) 5 / 8 + 3 / 8 (g) 1 – 2 / 3 (1 = 3 / 3) (h) 1 / 4 + 0 / 4 (i) 3 – 12 / 5

Solution As the denominators of both the fractions are the same we can add directly without taking LCM = (1 + 1)/18 = 2/18 = 1/9 As the... View Article