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Operations on Whole Numbers
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6. Operations on Whole Numbers
- a) A sick person takes 10 ml of medicine three times a day.
- (i) Mathematical expression:
- (ii) Medicine taken in 15 days:
Calculate medicine per day.
$$ 10 \text{ ml/dose} \times 3 \text{ doses/day} = 30 \text{ ml/day} $$Calculate medicine in 15 days.
$$ 30 \text{ ml/day} \times 15 \text{ days} = \boxed{450 \text{ ml}} $$- b) The distance between Dakshe's house and his school is 7 km.
- (i) Mathematical expression for total distance traveled in 1 day (to school and back):
- (ii) Kilometres traveled in 6 days:
- b) The distance between Dakshe's house and his school is 7 km.
Calculate distance traveled in 1 day.
$$ 7 \text{ km/way} \times 2 \text{ ways/day} = 14 \text{ km/day} $$Calculate distance traveled in 6 days.
$$ 14 \text{ km/day} \times 6 \text{ days} = \boxed{84 \text{ km}} $$- c) Mrs. Chamling earns Rs 6,000 in a week. She spends Rs 250 for food and Rs 75 for transportation everyday.
- (i) Mathematical expression to show her weekly savings:
- (ii) Money she saves in a week:
- c) Mrs. Chamling earns Rs 6,000 in a week. She spends Rs 250 for food and Rs 75 for transportation everyday.
Calculate daily expenses.
$$ 250 \text{ Rs (food)} + 75 \text{ Rs (transport)} = 325 \text{ Rs/day} $$Calculate weekly expenses.
$$ 325 \text{ Rs/day} \times 7 \text{ days/week} = 2275 \text{ Rs/week} $$Calculate weekly savings.
$$ 6000 \text{ Rs (earnings)} - 2275 \text{ Rs (expenses)} = \boxed{3725 \text{ Rs}} $$- d) Sunayana had 20 marbles. She lost 6 marbles and she divided the rest of them among her 7 friends.
- (i) Mathematical expression:
- (ii) Marbles each friend would get:
- d) Sunayana had 20 marbles. She lost 6 marbles and she divided the rest of them among her 7 friends.
Calculate remaining marbles.
$$ 20 \text{ marbles} - 6 \text{ marbles lost} = 14 \text{ marbles} $$Divide remaining marbles among 7 friends.
$$ \frac{14 \text{ marbles}}{7 \text{ friends}} = \boxed{2 \text{ marbles/friend}} $$- e) Pratik has 300 rupees. He buys 2 boxes at Rs 60 each and 3 pens at Rs 30 each. Write a mathematical expression to show this information. Simplify it and find how much money is left with him?
- Mathematical expression:
- Money left with him:
- e) Pratik has 300 rupees. He buys 2 boxes at Rs 60 each and 3 pens at Rs 30 each. Write a mathematical expression to show this information. Simplify it and find how much money is left with him?
Calculate cost of boxes.
$$ 2 \times 60 \text{ Rs} = 120 \text{ Rs} $$Calculate cost of pens.
$$ 3 \times 30 \text{ Rs} = 90 \text{ Rs} $$Calculate total money spent.
$$ 120 \text{ Rs} + 90 \text{ Rs} = 210 \text{ Rs} $$Calculate money left.
$$ 300 \text{ Rs} - 210 \text{ Rs} = \boxed{90 \text{ Rs}} $$- f) There are two baskets each of them containing 18 apples. 10 apples are rotten and not fit for eating. You add 4 more apples and then divide among 6 friends. Show this information in a mathematical expression. Simplify it and find how many apples would each friend get?
- Mathematical expression:
- Apples each friend would get:
- f) There are two baskets each of them containing 18 apples. 10 apples are rotten and not fit for eating. You add 4 more apples and then divide among 6 friends. Show this information in a mathematical expression. Simplify it and find how many apples would each friend get?
Calculate initial total apples.
$$ 2 \text{ baskets} \times 18 \text{ apples/basket} = 36 \text{ apples} $$Subtract rotten apples.
$$ 36 \text{ apples} - 10 \text{ rotten apples} = 26 \text{ apples} $$Add new apples.
$$ 26 \text{ apples} + 4 \text{ new apples} = 30 \text{ apples} $$Divide among friends.
$$ \frac{30 \text{ apples}}{6 \text{ friends}} = \boxed{5 \text{ apples/friend}} $$7. It's your time - Project work and Activity Section
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a) Let's make a mathematical expression using the symbols and between the numbers 4, 12 and 8 to get the result 11.
- Mathematical expression:
-
b) Let's use the symbol and between the numbers 5, 20 and 2 at appropriate place to get the result 2. You can use brackets if necessary.
- Mathematical expression:
-
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