Multiplication Tricks (2)

Algebra Level 1

Find the value of

20 ⋅ 5 ⋅ 4 ⋅ 5 ⋅ 5 ⋅ 3 ⋅ 2. \large 20 \cdot 5 \cdot 4 \cdot 5 \cdot 5 \cdot 3 \cdot 2 .

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The answer is 60000.

Angela Fajardo by Angela Fajardo , 19, Philippines

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3 solutions

Ashish Menon
Apr 22, 2016

20 × 5 × 4 × 5 × 5 × 3 × 2 20 × 5 × 4 × 5 × 5 × 3 × 2 = ( 20 × 5 ) × ( 4 × 5 × 5 ) × ( 3 × 2 ) = 100 × 100 × 6 = 60000 = (20 × 5) × (4 × 5 × 5) × (3 × 2)\\ = 100 × 100 × 6\\ = \boxed{60000}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Same method! Upvoted! (+1)

Noel Lo - 2 years, 10 months ago

The problem can be simplified into (20×5)×(4×5)×(5×3×2)

Which is 100×20×30

=2000×(3×10)

=6000×10

=60000

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Pham Khanh
Apr 23, 2016

20 × 5 × 4 × 5 × 5 × 3 × 2 20 \times 5 \times 4 \times 5 \times 5 \times 3 \times 2 = 20 × 5 × 2 2 × 5 × 5 × 3 × 2 =20 \times 5 \times 2^{2} \times 5 \times 5 \times 3 \times 2 = 20 × 5 × 2 × 2 × 5 × 5 × 3 × 2 =\color{#D61F06}{20} \times \color{#D61F06}{5} \times \color{#20A900}{2} \times \color{#3D99F6}{2} \times \color{#20A900}{5} \times \color{#3D99F6}{5} \times \color{#EC7300}{3} \times \color{#EC7300}{2} = 20 × 5 × 2 × 5 × 2 × 5 × 3 × 2 =\color{#D61F06}{20} \times \color{#D61F06}{5} \times \color{#20A900}{2} \times \color{#20A900}{5} \times \color{#3D99F6}{2} \times \color{#3D99F6}{5} \times \color{#EC7300}{3} \times \color{#EC7300}{2} = 100 × 10 × 10 × 6 =\color{#D61F06}{100} \times \color{#20A900}{10} \times \color{#3D99F6}{10} \times \color{#EC7300}{6} = 60000 =\LARGE \color{#624F41}{\boxed{\color{lime}{60000}}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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