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Find the values of the following expressions: a) 28 - 7 + 8 b) 39 - 2 x 6 + 11 c) 40 - 10 + 10 + 10 d) 48 - 10 x 2 + 16 / 2 e) 6 x 3 - 4 x 8 x 5. Write a story/situation for each of the following expr
Mathematics
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1. Find the values of the following expressions:
- a)
Perform subtraction.
$$ 28 - 7 = 21 $$Perform addition.
$$ 21 + 8 = 29 $$ The value is $\boxed{29}$.- b)
Perform multiplication.
$$ 2 \times 6 = 12 $$Perform subtraction.
$$ 39 - 12 = 27 $$Perform addition.
$$ 27 + 11 = 38 $$ The value is $\boxed{38}$.- c)
Perform operations from left to right.
$$ 40 - 10 = 30 $$Continue operations from left to right.
$$ 30 + 10 = 40 $$Continue operations from left to right.
$$ 40 + 10 = 50 $$ The value is $\boxed{50}$.- d)
Perform multiplication and division.
$$ 10 \times 2 = 20 $$ $$ 16 \div 2 = 8 $$Substitute values and perform subtraction.
$$ 48 - 20 + 8 $$ $$ 28 + 8 = 36 $$ The value is $\boxed{36}$.- e)
Perform multiplications.
$$ 6 \times 3 = 18 $$ $$ 4 \times 8 \times 5 = 32 \times 5 = 160 $$Perform subtraction.
$$ 18 - 160 = -142 $$ The value is $\boxed{-142}$.2. Write a story/situation for each of the following expressions and find their values.
- a) Story: "Roshni had 89 stickers. She received 21 more stickers for her birthday. Later, she gave 10 stickers to her younger brother. How many stickers does Roshni have now?"
Perform addition.
$$ 89 + 21 = 110 $$Perform subtraction.
$$ 110 - 10 = 100 $$ The value is $\boxed{100}$.- b) Story: "A baker made 5 trays of muffins, with 12 muffins on each tray. He sold 6 muffins. How many muffins are left?"
Perform multiplication.
$$ 5 \times 12 = 60 $$Perform subtraction.
$$ 60 - 6 = 54 $$ The value is $\boxed{54}$.- c) Story: "A farmer planted 4 rows of apple trees, with 9 trees in each row, and 2 rows of pear trees, with 6 trees in each row. How many fruit trees did the farmer plant in total?"
Perform multiplications.
$$ 4 \times 9 = 36 $$ $$ 2 \times 6 = 12 $$Perform addition.
$$ 36 + 12 = 48 $$ The value is $\boxed{48}$.3. For each of the following situations, write the expression describing the situation, identify its terms and find the value of the expression.
- a) Queen Alia gave 100 gold coins to Princess Elsa and 100 gold coins to Princess Anna last year. Princess Elsa used the coins to start a business and doubled her coins. Princess Anna bought jewellery and has only half of the coins left. Write an expression describing how many gold coins Princess Elsa and Princess Anna together have. Expression: Terms: The terms are and .
Calculate Elsa's coins.
$$ 100 \times 2 = 200 $$Calculate Anna's coins.
$$ 100 \div 2 = 50 $$Calculate the total coins.
$$ 200 + 50 = 250 $$ The value of the expression is $\boxed{250 \text{ gold coins}}$.- b) A metro train ticket between two stations costs ₹50 for an adult and ₹20 for a child. What is the total cost:
- i) for four adults and three children? Expression: Terms: The terms are and .
- b) A metro train ticket between two stations costs ₹50 for an adult and ₹20 for a child. What is the total cost:
Calculate the cost for adults.
$$ 4 \times 50 = 200 $$Calculate the cost for children.
$$ 3 \times 20 = 60 $$Calculate the total cost.
$$ 200 + 60 = 260 $$ The value of the expression is $\boxed{\text{₹}260}$. * **ii) for two groups having three adults and two children each?** Expression: $$2 \times ((3 \times 50) + (2 \times 20))$$ Terms: If expanded, the terms are $(2 \times 3 \times 50)$ and $(2 \times 2 \times 20)$.Calculate the cost for adults in one group.
$$ 3 \times 50 = 150 $$Calculate the cost for children in one group.
$$ 2 \times 20 = 40 $$Calculate the total cost for one group.
$$ 150 + 40 = 190 $$Calculate the total cost for two groups.
$$ 2 \times 190 = 380 $$ The value of the expression is $\boxed{\text{₹}380}$.
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