Question
How does the product of \( 125 \times 150 \) compare to the product of \( 125 \times 15 \) ?
Ask by Black Deleon. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product of 125 × 150 is 10 times larger than 125 × 15.
Solution
To compare the products, observe that 150 is 10 times greater than 15. This means:
125 × 150 = 125 × (10 × 15) = 10 × (125 × 15)
Thus, the product 125 × 150 is 10 times larger than 125 × 15.
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Simplify this solution Bonus Knowledge
To compare \( 125 \times 150 \) and \( 125 \times 15 \), we can factor out 125 from both products, so the comparison simplifies to \( 125 \times 150 \) and \( 125 \times 15 \), which leads to \( 150 \) and \( 15 \) respectively. Since \( 150 \) is obviously greater than \( 15 \), multiplying both sides by \( 125 \) tells us that \( 125 \times 150 \) is much greater than \( 125 \times 15 \). In fact, if we calculate it out, \( 125 \times 150 = 18750 \) and \( 125 \times 15 = 1875 \). So, you can see that the first product is not just greater, but a full ten times larger than the second!
