Which of the following options shows distributive property of multiplication over addition?

4 + (5 \times 8) = (4 + 5) \times (4 + 8)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 \times (5 + 8) = (4 \times 5) + (4 \times 8)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 \times (5 \times 8) = (4 \times 5) \times 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(8 + 5) + 4 = 8 + (5 + 4)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $4 \times (5 + 8) = (4 \times 5) + (4 \times 8)$
Distributive Property of multiplication over addition is as follows:
$a \times (b + c) = (a \times b) + (a \times c)$
So, $4 \times (5 + 8) = (4 \times 5) + (4 \times 8)$
Hence, Option B is correct.

Suggest Corrections

Similar questions

$Name the multiplication property of rational numbers shown below: (i) \frac{3}{5} \times \frac{- 8}{9} = \frac{- 8}{9} \times \frac{3}{5} (i i) \frac{- 3}{4} \times (\frac{5}{7} \times \frac{- 8}{15}) = (\frac{- 3}{5} \times \frac{5}{7}) \times \frac{- 8}{15} (i i i) \frac{4}{5} \times (\frac{3}{- 8} + \frac{- 4}{7}) = \frac{4}{5} \times \frac{3}{- 8} + \frac{4}{5} \times \frac{- 4}{7} (i v) \frac{- 7}{5} \times \frac{5}{- 7} = 1 (v) \frac{8}{- 9} \times 1 = 1 \times \frac{8}{- 9} = \frac{8}{- 9} (v i) \frac{- 3}{4} \times 0 = 0$

Q. Which property of multiplication is illustrated by :

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

Q. Name the property of multiplication illustrated by

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

Q. The following data gives the marks of 20 students in Mathematics (X) and statistics (Y), each out of 10, expressed as (x, y). Construct an ungrouped frequency distribution, considering single numbers as a class:

(2, 7), (3, 8), (4, 9), (2, 8), (5, 6), (5, 7), (4, 9), (3, 8), (4, 8), (2, 9), (3, 8), (4, 8), (5, 6), (4, 7),

(4, 7), (4, 6), (5, 6), (5, 7), (4, 6), (5, 5).

Q. Question 111(ii)
Use the distributivity of multiplication of rational numbers over addition to simplify.

\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}]

Join BYJU'S Learning Program

Which of the following options shows distributive property of multiplication over addition?

The correct option is A 4×(5+8)=(4×5)+(4×8)Distributive Property of multiplication over addition is as follows:a×(b+c)=(a×b)+(a×c)So, 4×(5+8)=(4×5)+(4×8)Hence, Option B is correct.

The correct option is A $4 \times (5 + 8) = (4 \times 5) + (4 \times 8)$
Distributive Property of multiplication over addition is as follows:
$a \times (b + c) = (a \times b) + (a \times c)$
So, $4 \times (5 + 8) = (4 \times 5) + (4 \times 8)$
Hence, Option B is correct.