Q1
5 x (10+3) equals:
A65
B50
C15
D53
CBSEClass 8 (CBSE)MathematicsCh 6 · Topic 1
The Distributive Property
Learning how multiplication distributes over addition and subtraction.
Core concept
For example, calculating 7 × 102 becomes easier using distribution: 7 × (100+2) = (7×100) + (7×2) = 700 + 14 = 714, avoiding the need for more complex direct multiplication. This same property, applied in reverse, allows factorisation of algebraic expressions, making the distributive property a foundational bridge connecting basic arithmetic to algebra, used constantly throughout higher mathematics.
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• Distributive property: a x (b+c) = axb + axc.
• Example: 7 x 102 = 7 x (100+2) = 700+14 = 714, simplifying mental calculation.
• The distributive property works similarly for subtraction: a x (b-c) = axb - axc.
• This property connects arithmetic to algebra and is used in factorisation.