To solve the multiplication [tex]\( 5 \times 395 \)[/tex] using a more manageable method, we can apply the distributive property. The distributive property allows us to break down the multiplication into simpler parts. Here is the step-by-step solution:
1. Rewrite the number 395 in a way that is easy to work with:
- We can express 395 as [tex]\( 400 - 5 \)[/tex].
2. Apply the distributive property:
[tex]\[
5 \times 395 = 5 \times (400 - 5)
\][/tex]
This can be distributed as follows:
[tex]\[
5 \times (400 - 5) = (5 \times 400) - (5 \times 5)
\][/tex]
3. Calculate each part separately:
- First, we calculate [tex]\( 5 \times 400 \)[/tex]:
[tex]\[
5 \times 400 = 2000
\][/tex]
- Next, we calculate [tex]\( 5 \times 5 \)[/tex]:
[tex]\[
5 \times 5 = 25
\][/tex]
4. Subtract the second product from the first product:
[tex]\[
2000 - 25 = 1975
\][/tex]
Therefore, the result of [tex]\( 5 \times 395 \)[/tex] is [tex]\( 1975 \)[/tex].
