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, both less than1.
STEP 3
We are asked to find the product of a and b and compare it with a and b.
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 (regardless of whether it's less than, equal to, or greater than1), the product will always be less than the original number.
STEP 5
Therefore, the product of two decimals less than1 will always be less than either of the factors.
So, we can predict that the product will be less than either of the factors.
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