Question

23×43 55×26 =
use distributive property of multiplication to find.
3×645
extra bonus + 2
explain your algorithm when you
partial product (be sure to use math to

Explanation:

Step1: Decompose 645

Decompose 645 as \( 600 + 40 + 5 \).

Step2: Apply Distributive Property

Using the distributive property \( a\times(b + c + d)=a\times b + a\times c + a\times d \), we have:
\( 3\times645 = 3\times(600 + 40 + 5)=3\times600 + 3\times40 + 3\times5 \)

Step3: Calculate Each Product

Calculate each product: \( 3\times600 = 1800 \), \( 3\times40 = 120 \), \( 3\times5 = 15 \)

Step4: Sum the Products

Sum the results: \( 1800 + 120 + 15 = 1935 \)

Answer:

\( 3\times645 = 1935 \)