QuestionIf you multiply two decimals less than 1, will the product be less than both factors? Explain your reasoning.
Studdy Solution
STEP 1
Assumptions1. We are multiplying two decimal numbers. . Both decimal numbers are less than1.
STEP 2
Let's consider two decimal numbers, a and b, where both a and b are less than1.
STEP 3
We multiply these two decimal numbers.
STEP 4
Since both a and b are less than1, their product will be less than either a or b. This is because when you multiply a number less than1 by another number (whether it's less than, equal to, or greater than1), the product is always less than the original number.
STEP 5
So, the product of two decimals that are less than1 will always be less than either of the factors.
This is the prediction based on the properties of multiplication of numbers less than1.
Was this helpful?
