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.
9.766
To find the multiplication sentence described in the clues, we need to consider the given information and analyze each clue one by one.
1. The product is close in value to 10.
This clue suggests that the product should be a number that is close to 10. Let's keep this in mind as we proceed.
2. Both factors are decimal numbers.
This clue tells us that both factors in the multiplication sentence will be represented by decimal numbers. So, we know that our multiplication sentence will involve decimal numbers.
3. The product has 3 decimal places.
This clue is crucial as it gives us the information about the precision of our final answer. The product should have three decimal places. For example, 10.125 or 9.500.
4. One factor is greater than one.
This clue informs us that one of the factors in the multiplication sentence should be a number greater than one (1). This means the decimal portion of this factor will be greater than zero.
5. The other factor is less than 1.
This clue states that the other factor should be a number less than one (1). This means the decimal portion of this factor will be less than one.
Now, let's put all these clues together to form the multiplication sentence. Since the product needs to be close to 10 and have 3 decimal places, we can start by trying different combinations that satisfy these conditions. We could try multiplying numbers like 9.500 by 1.050, or 9.800 by 1.020.
By experimenting and adjusting the factors, we can find the best combination that meets all the given clues. For example, if we try multiplying 9.875 by 1.015, we get a product of 10.009625, which is close to 10 and has three decimal places. Therefore, the multiplication sentence that satisfies all the clues is:
9.875 * 1.015 = 10.009625
We created our answer by considering each clue and using trial and error to find the appropriate combination of factors that fulfill the given conditions.