State the property represented by the following-3 - 5 - 9 - 3 - 5 - 3 - 9

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Standard VII

Mathematics

Properties of Integers under Multiplication

State the pro...

Question

State the property represented by the following.
$3 \times (5 + 9) = 3 \times 5 + 3 \times 9$

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Solution

Distributive property of multiplication over addition

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Similar questions

State the property represented by the following.

$62 \times (9 - 7) = 62 \times 9 - 62 \times 7$

Question 28

Encircle the odd one of the following:

(a) $(- 9) \times 5 \times 6 \times (- 3)$
(b) $9 \times (- 5) \times 6 \times (- 3)$
(c) $(- 9) \times (- 5) \times (- 6) \times 3$
(d) $9 \times (- 5) \times (- 6) \times 3$

Q. Study the following pattern:

1 + 3 = 2 × 2
1 + 3 + 5 = 3 × 3
1 + 3 + 5 + 7 = 4 × 4
1 + 3 + 5 + 7 + 9 = 5 × 5

By observing the above pattern, find

(i) 1 + 3 + 5 + 7 + 9 + 11
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15
(iii) 21 + 23 + 25 + ........ + 51

Q. Practice Time
Complete the following:
2 × 7 = __________
4 × 9 = __________
5 × 8 = __________
10 × 6 = __________
5 × 9 = __________
3 × 9 = __________
5 × 2 = __________
3 × 10 = __________
2 × 8 = ___________
10 × 8 = ___________

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

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State the property represented by the following.3×(5+9)=3×5+3×9

Distributive property of multiplication over addition

State the property represented by the following.
$3 \times (5 + 9) = 3 \times 5 + 3 \times 9$