A number is multiplied by 38. The result is positive number less than 38 which of these was multiplied by 38 a a number less than 0B a number greater than one C0BD a number between zero and one.
The given problem states that a number is multiplied by 38, and the resulting number is a positive number less than 38.
Let's analyze the answer choices:
A) A number less than 0: If the number is less than 0, when multiplied by 38, the result would be negative (since multiplying a positive number by a negative number gives a negative result). Therefore, option A is not valid.
B) A number greater than 1: If the number is greater than 1, when multiplied by 38, the result would be greater than 38. Thus, option B is also not valid.
C) A number between 0 and 1: If the number is between 0 and 1, when multiplied by 38, the result would be a number between 0 and 38. Therefore, option C is valid.
D) A number between 0 and 1: As explained above, option D is also valid because the number between 0 and 1, when multiplied by 38, would result in a number between 0 and 38.
So, the correct options are C and D, as both represent numbers that fulfill the given conditions.
Let's break down the given scenario step by step:
1. A number is multiplied by 38.
2. The result is a positive number.
3. The positive number is less than 38.
Now, let's consider the options:
A. A number less than 0:
- If the number is less than 0, then the result of multiplying it by 38 would be a negative number. This contradicts the given information that the result is a positive number. So, option A is not valid.
B. A number greater than 1:
- If the number is greater than 1, then the result of multiplying it by 38 would be a number greater than 38. This contradicts the given information that the result is less than 38. So, option B is not valid.
C. A number between 0 and 1:
- If the number is between 0 and 1, then the result of multiplying it by 38 would be a number between 0 and 38. This satisfies all the given conditions - the result is positive and less than 38. Therefore, option C is valid.
D. A number less than 0B:
- It is unclear what the value of "0B" is, so we cannot determine the validity of option D.
Based on the analysis, option C (a number between 0 and 1) is the only valid choice.
To solve this problem, we need to set up an equation to represent the given information. Let's assume the number we're looking for is "x."
According to the problem, when x is multiplied by 38, the result is a positive number less than 38. This can be expressed as an inequality: 38x < 38.
To find the answer, we'll solve this inequality:
38x < 38
Divide both sides of the inequality by 38 to isolate x:
x < 1
Therefore, the solution to the inequality is x < 1. This means that the number we're looking for is less than 1.
So, the correct option is C0BD: a number between zero and one.