Calculate 5×5×5×2×2×2: Product of Repeated Multiplication

Question

555222=? 5\cdot5\cdot5\cdot2\cdot2\cdot2=?

Video Solution

Solution Steps

00:00 Solve
00:03 Let's arrange the equation so it will be easy for us to solve
00:08 Let's solve each multiplication separately and then continue solving
00:19 Let's continue solving using the same method
00:23 And this is the solution to the question

Step-by-Step Solution

We use the substitution property and organize the exercise in the following order:

5×2×5×2×5×2= 5\times2\times5\times2\times5\times2=

We place parentheses in the exercise:

(5×2)×(5×2)×(5×2)= (5\times2)\times(5\times2)\times(5\times2)=

We solve from left to right:

10×10×10= 10\times10\times10=

(10×10)×10= (10\times10)\times10=

100×10=1000 100\times10=1000

Answer

1000