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Express the following as mixed fractions: (a) 20 / 3 (b) 11 / 5 (c) 17 / 7 (d) 28 / 5 (e) 19 / 6 (f) 35 / 9

Solution (a)20 / 3 On dividing the given fraction we get ∴ 20 / 3 = (b) 11 / 5 On dividing the given fraction we get ∴ 11 / 5 =... View Article

Draw number lines and locate the points on them: (a) 1 / 2, 1 / 4, 3 / 4, 4 / 4 (b) 1 / 8, 2 / 8, 3 / 8, 7 / 8 (c) 2 / 5, 3 / 5, 8 / 5, 4 / 5

Solution (a) 1 / 2, 1 / 4, 3 / 4, 4 / 4 Now divide the number line from 0 to 1 into four equal parts C = 2 / 4 = 1 / 2 B = 1 / 4 D = 3 / 4... View Article

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Given Number of CDs Kristin bought from the market = 3 Number of CDs received as gifts = 5 Find out We have to determine a fraction of the... View Article

What fraction of these circles have X’s in them?

Solution: Total number of circles in the given figure = 8 Number of circles having X’s in them = 4 ∴ Required Fraction =Number... View Article

Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich. (a) How can Arya divide his sandwiches so that each person has an equal share? (b) What part of a sandwich will each boy receive?

Solution (a) Arya has divided the sandwich into 3 equal parts. So each person will receive one part. (b) Each boy receives 1 / 3 part... View Article

What fraction of an hour is 40 minutes?

Solution We know that there are 60 minutes in 1 hour We are given 40 minutes to find the fraction of 1 hour Hence, required Fraction... View Article

Identify the error, if any.

Solution: (i) As per the given figure the shaded portion is not half Hence, this is not 1 / 2 (ii) As per the given figure, the parts are... View Article

Colour the part according to the given fraction.

Solution: On colouring, the part as per the given fraction is shown below... View Article

Write the fraction representing the shaded portion.

Solution: (i)The number of parts in the given figure are = 4 The shaded portion in the given figure = 2 ∴ The fraction representing shaded... View Article

Find (a) (-7) – 8 – (-25) (b) (-13) + 32 – 8 – 1 (c) (-7) + (-8) + (-90) (d) 50 – (-40) – (-2)

Solution (a)(-7) – 8 – (-25) = -7 -8 + 25 = -15 + 25 = 10 (-7) – 8 – (-25)=10 (b) (-13) + 32 – 8 – 1 =... View Article

Fill in the blanks. (a) (-8) + ___ = 0 (b) 13 + _ = 0 (c) 12 + (-12) = (d) (-4) + = -12 (e) __ – 15 = – 10

Solution (a) (-8) + 8 = 0 (b) 13 + (-13) = 0 (c) 12 + (-12) = 0 (d) (-4) + (-8) = -12 (e) 5 – 15 = -10... View Article

Fill in the blanks with >, < or = sign. (a) (-3) + (-6) ____ (-3) - (-6) (b) (-21) - (-10) _ (-31) + (-11) (c) 45 - (- 11) 57 + (- 4) (d) (-25) - (-42) _ (- 42) - (-25)

Solution (a) On solving the given expression we get, (-3) + (-6) = -9 (-3) – (-6) = -3 + 6 = 3 -9 < 3 Hence (-3) + (-6) <... View Article

Find (a) 35 – (20) (b) 72 – (90) (c) (-15) – (-18) (d) (-20) – (13) (e) 23 – (-12) (f) (-32) – (-40)

Solution (a)35 – (20) = 35 – 20 35 – (20)=15 (b) 72 – (90) = 72 – 90 72 – (90)= -18 (c) (-15)... View Article

Find the sum: (a) (-7) + (-9) + 4 + 16 (b) (37) + (-2) + (-65) + (-8)

Solution: (a)(-7) + (-9) + 4 + 16 = (-7) + (-9) + 4 + (+7) + (+9) = (-7) + (+7) + (-9) + (+9) + 4 = 0 + 0 + 4 [(-a) + (+a) = 0] = 4 (-7) + (-9) +... View Article

Find the sum of: (a) 137 and – 354 (b) – 52 and 52 (c) – 312, 39 and 192 (d) – 50, – 200 and 300

Solution (a) 137 and -354 On adding the given numbers we get, (137) + (-354) = 137 + (-354) = -217 (137) + (-354)=-217 (b) -52 and 52 On... View Article

Add without using number line: (a) 11 + (-7) (b) (-13) + (+18) (c) (-10) + (+19) (d) (-250) + (+150) (e) (-380) + (-270) (f) (-217) + (-100)

Solution (a) 11 + (-7) = 4 (b) (-13) + (+18) = 5 (c) (-10) + (+19) = 9 (d) (-250) + (+150) = -100 (e) (-380) + (-270) = -650 (f) (-217) +... View Article

Use number line and add the following integers: (a) 9 + (-6) (b) 5 + (-11) (c) (-1) + (-7) (d) (-5) + 10 (e) (-1) + (-2) + (-3) (f) (-2) + 8 + (-4)

Solution (a) Hence,9 + (–6)= 3 (b) Hence, 5 + (–11)=-6 (c) Hence,(–1) + (–7)= -8 (d) Hence,(–5) +... View Article

Using the number line write the integer which is: (a) 3 more than 5 (b) 5 more than -5 (c) 6 less than 2 (d) 3 less than -2

Solution (a) Hence,3 more than 5= 8 (b) Hence, 5 more than –5= 0 (c) Hence,6 less than 2= -4 (d) Hence, 3 less than –2=-5... View Article

Draw a number line and answer the following: (a) Which number will we reach if we move 4 numbers to the right of – 2. (b) Which number will we reach if we move 5 numbers to the left of 1. (c) If we are at – 8 on the number line, in which direction should we move to reach – 13? (d) If we are at – 6 on the number line, in which direction should we move to reach – 1?

Solution (a) When we move 4 numbers to the right of -2, we will reach 2 (b) When we move 5 numbers to the left of 1, we will reach at -4 (c)... View Article

For the following statements, write True (T) or False (F). If the statement is false, correct the statement. (a) – 8 is to the right of – 10 on a number line. (b) – 100 is to the right of – 50 on a number line. (c) Smallest negative integer is – 1. (d) – 26 is greater than – 25.

Solution (a)The given statement is True We know that -8 > -10 (b) The given statement is False. -50 is greater than -100. Hence, -100... View Article