determine the order of magnitude for the following:

1. a $1 bill and a dime
2. two products scored a PH level of 6.1 and 4.o

I can't figure out #1… but I did get #2 to be 10^2.1

Please help with #1 and check to see I did #2 right?

To determine the order of magnitude for each question, we need to understand what order of magnitude means. Order of magnitude refers to the scale or size of a quantity, often represented as a power of 10.

1. For the first question: "a $1 bill and a dime"
To determine the order of magnitude, we need to compare the values of a dollar bill and a dime in terms of their magnitudes.

A dollar bill is $1, and a dime is $0.10. To determine the order of magnitude, we can compare the values by dividing them by 10 repeatedly until we get a number between 1 and 10.

$1 divided by 10 is $0.10, which is the same as a dime. Therefore, the order of magnitude for both the dollar bill and the dime is 10^0, or simply 1.

2. For the second question: "two products scored a pH level of 6.1 and 4.0"
To determine the order of magnitude, we need to understand pH levels. pH is a logarithmic scale used to specify the acidity or alkalinity of a substance.

The pH scale ranges from 0 to 14, with 7 being neutral. pH values below 7 are acidic, and values above 7 are alkaline or basic.

For the given pH levels of 6.1 and 4.0, we can subtract these values from 7 to determine the order of magnitude. However, note that the order of magnitude is based on the power of 10, and pH is a logarithmic scale with base 10.

For the pH level of 6.1:
7 - 6.1 = 0.9
Thus, the order of magnitude is approximately 10^0.9 or between 1 and 10.

Similarly, for the pH level of 4.0:
7 - 4.0 = 3.0
The order of magnitude is approximately 10^3.0 or 1000.

Therefore, the order of magnitude for the two products with pH levels of 6.1 and 4.0 is approximately 10^0.9 and 10^3.0 respectively.

It seems like you made a mistake in calculating the order of magnitude for the second question. The correct answer for the order of magnitude of the pH level 6.1 is approximately 10^0.9, not 10^2.1.