Fractions and decimals class 7
Fractions and decimals class 7 ( Short Answer type questions)
Question 1: If
Solution: Let be the required number.
÷
Hence the required number is 9.
Question 2: Solve .
Solution.
=
=
Hence =
Question 3: Multiply .
Solution.
=
= =
Hence = .
Question 4: Solve .
Solution: =
=
=
=
Question 5: which one is smaller ?
Solution:
Now . So
Another Method : 7 x 89= 623 and 14 x 45 = 630
As 623 < 630 , therefore .
Question 6 : Express as a decimal.
Solution : = 0.75
Question 7 : Round off 86.953 to tenths place.
Solution: For rounding off to tenths place, we look at the hundredths place. Here the digit is 5.So, the digit at the tenths place (9)
will be increased by 1 (i.e., it will become 9 + 1). Hence, rounding off 86.953 to tenths place, we get 87.0
Question 8: Arrange the following in ascending order
(i) 0.20 , 0.002, 0.02, 2.2 , 2.02, 2.22
(ii) 9.99, 9.099, 99.9, 99.09 , 9.009
Solution : (i) 0.002 < 0.02< 0.20< 2.02< 2.2 < 2.22
(ii) 9.009< 9.099 < 9.99 < 99 .09 < 99.9
Question 9: Which of the following fractions is the smallest? (a) (b) (c) (d)
Solution . When the numerator of the fractions are equal , the fraction with greater denominator will be the smallest. Hence the fraction is the smallest.
Question 10. Arrange the following in descending order.
(i) 9.45, 9.054, 9.504, 9.405, 9.54, 9.045
(ii) 77.7, 7.77, 0.777, 7.07, 0.707, 7.077
Solution. (i) 9.54 > 9.504 > 9.45 > 9.405> 9.054> 9.045
(ii) 77.7 > 7.77 > 7.077> 7.07> 0.777 > 0.707
Question 11: (i) 5.9 ÷ 10 = _____
(ii) 5.9 ÷ 100 = _____
(iii) 5.9 ÷ 1000 = _____
Solution: (i)
=
= 0.59
(ii)
=
= 0.059
(iii)
=
= 0.0059
Example 12. Divide 0.0042 7 .
Solution .
=
=0.0006
Example 13. Find the average of 4.21, 3.82 and 7.63 .
Solution. The average of 4.21, 3.82 and 7.63 is =
= =5.22
Example 14 : Divide (a) 0.5176 by 8 (b) 3.45 by 25
Solution :
Fractions and decimals class 7 (Fill in the blanks type questions)
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii) Decimal 8.125 is equal to the fraction ……………
(viii) 6.29 3.78 = ………..
(ix) Fill in the blanks using > or < :
(x) = …………
(xi) The reciprocal of fraction more than 1 is always less than 1.
(xii) 230. 4 = 2.304
(xiii)
(xiv) = …………
(xv) 0.7432
Ans. (i) 0 (ii) 1 (iii) 0 (iv) (v) (vi) (vii) (viii) 2 .51 (ix) < (x) 0.047 (xi) True (xii)100 (xiii) 1000 (xiv) 0.0036
(xv) 100
Fractions and decimals class 7 (Word problems)
Question 1: A ribbon of length m is cut into small pieces each of length m. Find the number of pieces that can be cut from the ribbon.
Solution. Total length of ribbon = m= m
Length of each small piece= m
number of pieces =
=
= = 9
Question 2: A car covers a distance of 99.1 km in 2.5 hours. What is the average distance covered by it in 1 hour?
Solution. Distance covered by the car = 99.1 km.
Time required to cover this distance = 2. 5 hours.
So distance covered by it in 1 hour =
= 39.64
Questions 3 : Tanvy bought kg of apples. Later she found that of them were rotten. Find the rotten apples and that of good ones.
Solution: Total weight of apples bought = kg = kg
Weight of rotten apples = kg
= kg
=
Weight of good apples = total weight of apples – weight of rotten apples
= kg –
= kg =
Question 4: The product of two fractions is .If one of the fraction is , find the other.
Solution: Product of two fractions =
One of the fractions =
The other fraction = =
= .
Hence , the other fraction is .
Question 5: Mr. Amit distributed Rs. 560 among N.C.C. Cadets for refreshment . If each cadet receive Rs. 8.75 , How many cadets were there?
Solution: Total amount distributed = Rs. 560
Amount received by each cadet= Rs. 8.75
Number of cadets =
Hence, the number of cadets is 64.
Fractions and decimals (worksheet)
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