Slide the slider to the value of - 4-8-5-35-12-7

Applying commutative property, nbsp;(4×8)×5 = (8×4)×5 We know that, by associative property of multiplication, a×(b× c) = (a× b)× c. So, (4×8)×5 = 8×(4×5) ...

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Standard VI

Mathematics

Properties of Multiplication of Integers

Slide the sli...

Question

$Slide the slider to the value of : (4 \times 8) \times 5 + (35 + 12) - 7$
200

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Solution

The correct option is A 200
Applying commutative property, $(4 \times 8) \times 5 = (8 \times 4) \times 5$

$We know that, by associative property of multiplication, a \times (b \times c) = (a \times b) \times c .$
So,
$(4 \times 8) \times 5 = 8 \times (4 \times 5) = 8 \times 20 = 160$

$We know that, by associative property of addition, a + (b + c) = (a + b) + c .$
So, (35+12)-7 = 35+(12-7)
= 35 + 5 = 40

So,
$(4 \times 8) \times 5 + (35 + 12) + 8 = 160 + 40 = 200$

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Similar questions

Verify the following

(i) $\frac{- 12}{5} + \frac{2}{7} = \frac{2}{7} + \frac{- 12}{5}$

(ii) $\frac{- 5}{8} + \frac{- 9}{13} = \frac{- 9}{13} + \frac{- 5}{8}$

(iii) $3 + \frac{- 7}{12} = \frac{- 7}{12} + 3$

(iv) $\frac{2}{- 7} + \frac{12}{- 35} = \frac{12}{- 35} + \frac{2}{- 7}$

Slide the slider to the value of : (4 \times 8) \times 5 + (35 + 12) - 7

Simplify the following

(a) 12 + [{1 + (15 − 3)} × 4]

(b)

(c)

(d)

(e)

Verify each of the following :

(i) $(\frac{5}{7} \times \frac{12}{13}) \times \frac{7}{18} = \frac{5}{7} \times (\frac{12}{13} \times \frac{7}{18})$
(ii) $\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}$
(iii) $(\frac{- 9}{5} \times \frac{- 10}{3}) \times \frac{21}{- 4} = \frac{- 9}{5} \times (\frac{- 10}{3} \times \frac{21}{- 4})$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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Slide the slider to the value of :(4×8)×5+(35+12)−7200

$Slide the slider to the value of : (4 \times 8) \times 5 + (35 + 12) - 7$
200