Final answer:
To solve 34.25 multiplied by what equals 342.5, we divide 342.5 by 34.25 and find that the answer is 10, as 34.25 multiplied by 10 equals 342.5.
Step-by-step explanation:
To find out what number multiplied by 34.25 equals 342.5, we can set up the equation as:
34.25 × x = 342.5
To solve for x, we divide both sides of the equation by 34.25:
x = 342.5 / 34.25
If we solve this equation, we find that x = 10. Therefore, 34.25 multiplied by 10 equals 342.5. This aligns with the principle that multiplying a number by a power of 10 simply moves the decimal point to the right by however many places there are zeros in the power of 10. In this case, since 100 has two zeros, we move the decimal point two places to the right, which converts 34.25 into 342.5.