Which property of addition is satisfied by - iv 7-6- 10-7- 10-6- 10

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Standard VII

Mathematics

Properties of Integers under Addition

Which propert...

Question

Which property of addition is satisfied by :

(iv) $(7 + 6) \times 10 = 7 \times 10 + 6 \times 10$

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Solution

Step: Checking property of addition

We know that whole numbers obey distributive property of multiplication over addition.

i.e., $a \times (b + c) = (a \times b) + (a + c)$

Hence,
$(7 + 6) \times 10 = 7 \times 10 + 6 \times 10$

Thus, distributive property of multiplication over addition is satisfied.

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For each set of rational numbers, given below, verify the associative property of addition of rational numbers:
$(i) \frac{1}{2}, \frac{2}{3} and - \frac{1}{6} (i i) \frac{- 2}{5}, \frac{4}{15} and \frac{- 7}{10} (i i i) \frac{- 7}{9}, \frac{2}{- 3} and \frac{- 5}{18} (i v) - 1, \frac{5}{6} ~ a n d \frac{- 2}{3}$

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(i) $4.83 \times 10^{7}$ (ii) $3.02 \times 10^{- 6}$

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(v) $1.0001 \times 10^{9}$ (vi) $5.8 \times 10^{2}$

(vii) $3.61492 \times 10^{6}$ (viii) $3.25 \times 10^{- 7}$

Q. Which property of addition is satisfied by:
(7 + 6) × 10 = 7 × 10 + 6 × 10 [1 Mark]
A) Commutative
B) Associative
C) Distributive
D) Closure

Q. Which property of addition is satisfied by:
(i)

8 + 7 = 15

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Which property of addition is satisfied by : (iv) (7+6)×10=7×10+6×10

Step: Checking property of addition We know that whole numbers obey distributive property of multiplication over addition. i.e., a×(b+c)=(a×b)+(a+c) Hence, (7+6)×10=7×10+6×10 Thus, distributive property of multiplication over addition is satisfied.

Which property of addition is satisfied by :

(iv) $(7 + 6) \times 10 = 7 \times 10 + 6 \times 10$