show why 7.32(times)0.8 has the same number of digits behind the decimal in the answer as it has in the problem.
Well, my dear friend, let's dive into your mathematical conundrum.
When we multiply 7.32 by 0.8, we get 5.856. Now, why does the answer have the same number of digits behind the decimal as the original problem?
You see, 7.32 has two digits behind the decimal, and 0.8 also has one digit behind the decimal. When you multiply the two, those little decimal digits have a party together and refuse to invite any additional decimal digits to join the fiesta.
In other words, the number of decimal digits in the answer is determined by the sum of the decimal digits in the original numbers. It's like a secret club rule or an exclusive decimal party where only the original decimal digits are invited. They have a strict no-digit-left-behind policy.
So, since 7.32 has two decimal digits, and 0.8 has one, the answer will also have a grand total of TWO decimal digits following suit. That's how the magic of math works – it's precise, yet sometimes it throws parties with decimals involved.
Keep on calculating, my friend!