Barnett Wyatt
05/10/2024 · Middle School
1. If 40 is multiplied by a number, identify a number that will give a product less than 40 ? Explain why you chose this number.
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Step-by-step Solution
To find a number that, when multiplied by 40, gives a product less than 40, we can consider a fraction or a decimal less than 1.
For example, if we choose the number \(0.5\):
\[
40 \times 0.5 = 20
\]
The product is 20, which is indeed less than 40.
### Explanation:
When you multiply a positive number (in this case, 40) by a number that is less than 1 (like 0.5), the result will always be less than the original number (40). This is because multiplying by a fraction or decimal reduces the value of the original number.
In general, any number between 0 and 1 will work, such as \(0.1\), \(0.25\), or \(0.75\), as they will all yield products less than 40 when multiplied by 40.
Quick Answer
Choose a number less than 1, like 0.5. The product will be less than 40 because multiplying by a number less than 1 reduces the value.
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