Let’s tackle the division problem: 40,000 / 12. We’re looking at dividing a fairly large number by a two-digit number.
There are a few ways we can express the answer: as a whole number with a remainder, as a decimal, or as a mixed number (a whole number and a fraction). Let’s explore all of those.
How to work it out using long division
When you divide 40,000 by 12 using long division, here’s what you’ll find:
First, identify the dividend and divisor:
- Dividend: 40,000
- Divisor: 12
Then, divide the first digit (or digits) of the dividend by the divisor, subtract, and bring down the next digit. Keep going until you’ve brought down all the digits.
When you divide 40,000 by 12, the quotient is 3,333 and the remainder is 4.
How to represent the result
There are a few ways to represent the answer to the problem 40,000 / 12.
Integer and remainder
You can state the answer as an integer quotient and remainder. For example, 40,000 / 12 = 3333 R4. You’d then need to explain what the remainder means in the context of the problem.
Decimal representation
You can convert the remainder to a decimal by continuing the long division. The answer to 40,000 / 12 is approximately 3333.3333, with the 3s continuing infinitely.
Mixed number representation
You can also express the result as a mixed number. For example, 40,000 / 12 = 3333 4/12. You can simplify the fraction 4/12 to 1/3.
Wrapping Up
So, there you have it: 40,000 divided by 12 can be expressed as an integer with a remainder, a decimal, or a mixed number. Each representation offers a slightly different way to understand the result.
Remember, mastering long division isn’t just about solving this one problem. It’s a fundamental skill that opens the door to tackling a wide range of arithmetic challenges.