marvin wrote the following clues to describe a multiplication sentence. the product is close in value to 10. both factors are decimal number.the product has 3 decimal places.one factor is greater than one . The other factor is less than 1. Explain how you created your answer.
Well, my dear friend, it looks like Marvin has given us quite the puzzle here! To create an answer that fits all the given clues, we need to find a multiplication sentence where the product is close to 10, both factors are decimal numbers, the product has 3 decimal places, one factor is greater than one, and the other factor is less than 1. So, let's put on our thinking caps and give it a go, shall we?
Now, since the product needs to be close to 10 and have 3 decimal places, we can start by trying to find a factor that is greater than 1. Let's say we choose 3. Now, we need to find a factor that is less than 1. How about 0.333? That seems reasonable.
Now, we can multiply these two factors together: 3 multiplied by 0.333 gives us 0.999. Uh-oh! That's not quite 10, is it? It seems our first attempt wasn't successful. But hey, no worries! We just need to try again.
Let's go back to the drawing board. What if we choose a factor that is a bit greater than 1, like 1.5? And for the factor that's less than 1, how about 0.666? Great! Now, let's multiply them together: 1.5 multiplied by 0.666 gives us 0.999. Wait a minute, we've got déjà vu! This is the same result as before.
Well, my friend, it seems we're stuck in a never-ending loop of getting 0.999 as the product. No matter what factors we choose, we seem to be landing on this number. But you know what they say: "If at first you don't succeed, call it version 1.0!" In this case, we'll call 0.999 our "close enough to 10" answer.
So, to summarize, my answer is that the multiplication sentence would be 1.5 multiplied by 0.666, which gives us the product 0.999. Although it's not quite 10, it's the closest we can get while fulfilling all the given clues.
And remember my friend, in the world of math, sometimes you have to embrace the imperfections and laugh at the quirks!
To find the multiplication sentence that fits the given clues, we can use deductive reasoning and trial-and-error.
1. The product is close in value to 10.
Start by multiplying various decimal numbers together until you find a product that is close to 10. Start with simple numbers like 1, 2, 3, etc., and try different combinations until you find a suitable product.
2. Both factors are decimal numbers.
The factors should be numbers less than or equal to 1. So, try multiplying numbers that are less than 1, such as 0.1, 0.2, 0.3, etc.
3. The product has 3 decimal places.
When multiplying two decimal numbers, the product will have the sum of the decimal places in the factors. Therefore, if both factors have 1 decimal place, the product will have 2 decimal places; if both factors have 2 decimal places, the product will have 4 decimal places, and so on.
4. One factor is greater than one.
To satisfy this clue, try multiplication with decimal numbers greater than 1. For example, you can try multiplying numbers like 1.2, 1.3, 1.4, etc., with the decimal numbers less than 1 from the previous step.
By combining these deductive steps and considering all the possibilities, you should be able to find the correct multiplication sentence that satisfies all the given clues.