HLO EVERYONE PLZ GIVE ALL QUESTIONS ANSWER EVERY SINGLE QUESTION ANSWER I WILL FOLLOW HIM OR BACK AND MARK AS A BRAINLIST THANKS
Answers
Q1 Evaluate the following :-
1) 4/3 + 7/8
Solution:-
=4/3+7/8
=32/24+21/24
=32+21/24
=53/24 (Ans)
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2) 5/12 + 1/18 - 2/9
Solution:-
5/12+1/18-2/9
=17/36−2/9
=1/4 (Ans)
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3) 7 3/4 - 3 5/6 + 7/8
Solution:-
7 3/4−3 5/6+7/8
=31/4−3 5/6+7/8
=31/4−23/6+7/8
=47/12+7/8
=115/24
=4 19/24
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Q2. Aslam can walk 5 2/5 km in one hour. How many distance will he cover in 3 1/4 hours?
Solution:-
Aslam can walk in one hour = 5 2/5
So, he will cover distance in 3 1/4 hours
Ans. He will cover 7 4/5 km in 3 1/4 hours.
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Q3. Evaluate the following :-
i) 3 2/5 × 8
Solution:-
(3 2/5)(8)
=17/5(8)
=136/5
=27 1/5 (Ans)
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ii) 3 1/6 × 7 4/23
Solution:-
(3 1/6)(7 4/23)
=19/6(7 4/23)
=19/6(165/23)
=1045/46
=22 33/46 (Ans)
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iii) 3/9 of 4 7/5 kg
Solution:-
(3/9(4 7/5))(k)g
=(1 4/5)(gk)
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Q4. An ornament is made of gold and copper and weighs 52 grams. If 2/13 of it's part it copper, find the weight of pure gold in it.
Solution:-
2/13 × 52 = 2/4 = 8
52 - 8 = 44
Ans. Weight of pure gold is 44 gm.
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Q5. Evaluate the following :-
i) 2 5/8 ÷ 1 1/6
Solution:-
=21/8 ÷ 1 1/6
=21/8 ÷ 7/6
=9/4
=2 1/4 (Ans)
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ii) 7/8 ÷ 5/6
Solution:-
=7/40÷6
=7/240 (Ans)
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Q6. If the cost of 5 1/2 kg of sugar is 206 1/4, then find the cost of 8 1/4 kg of sugar.
Solution:-
Rewriting the fractions into decimals
The cost of 5.5 kg of sugar is Rs. 206.25 ,
Then find the cost of 8.25 kg sugar
Find the cost of 1 kg of sugar:
5.5 kg = Rs. 206.25
1 kg = 206.25 ÷ 5.5
1 kg = Rs. 18.75
Find the cost of 8.25 kg :
1 kg = 18.85
8.25 kg = 8.25 × 18.85
8I25 kg = Rs. 154 11/16
Answer : Rs. 154 11/16
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Q7. Evaluate the following :-
i) 9.4 - 5.8147
Solution:-
=9.4−5.8147
=9.4+−5.8147
=3.5853 (Ans)
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ii) 36.36 - 28.4237 - 9.78 + 7.7
Solution:-
=7.9363−9.78+7.7
=−1.8437+7.7
=5.8563 (Ans)
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iii) 5.765 + 9.2 + 3.08
Solution:-
=14.965+3.08
=18.045 (Ans)
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iv) 15.49 + 8.3572 + 0.903 + 7.8
Solution:-
=23.8472+0.903+7.8
=24.7502+7.8
=32.5502 (Ans)
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Q8. Express the following fractions as decimals :-
i) 13/125
Ans) 0.104
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ii) 7 3/40
Ans) 7.075
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Q.9 Simplify the following :-
i) 0.79 × 32.4
Ans) 25.596
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ii) 10.05 × 1.05
Ans) 10.5525
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iii) 2.3 × 4.35
Ans) 10.005
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iv) 4.28 ÷ 0.02
Ans) 214
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v) 13.06 ÷ 0.08
Ans) 163.25
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Q10. Simplify the following expressions :-
i) 2/3 of (5 1/6 - 4 3/8)
Solution:-
=2/3(31/6−4 3/8)
=2/3(31/6−35/8)
=2/3(19/24)
=19/36
=19/36 (Ans)
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ii) (3/7 1/2) ÷ 7/8
Solution:-
=3/15/2/7/8
=2/5/7/8
=2/35/8
=1/140
=1/140 (Ans)
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iii) (4/5 + 2) (3 - 2/3)
Solution:-
=14/5(3−2/3)
=14/5(7/3)
=98/15 (Ans)
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Q11. True/False
i) The reciprocal of 1 is 0 :- False
Correct Statement :-
The reciprocal of 1 is 1
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ii) To multiply a decimal number by 10, move the decimal point to the left by one place :- False
Correct Statement :-
To move a decimal number by 10, move the decimal point to the right by one place .
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