Round the result to the nearest tenth and then to the nearest hundredth:
1. -57.124/10.104
2. -13.254(-3.145)
Run them through a calculator. Note that the first answer will be a negative number, while the second answer will be positive.
To round a result to the nearest tenth, you need to look at the digit in the hundredth place (the second digit after the decimal point). If it is 5 or greater, you round the digit in the tenth place (the first digit after the decimal point) up by one. If it is less than 5, you leave the digit in the tenth place as it is.
To round a result to the nearest hundredth, you need to look at the digit in the thousandth place (the third digit after the decimal point). Again, if it is 5 or greater, you round the digit in the hundredth place (the second digit after the decimal point) up by one. If it is less than 5, you leave the digit in the hundredth place as it is.
Now let's calculate and round the results for the given expressions:
1. -57.124 / 10.104:
-57.124 / 10.104 = -5.65428675099 (to more decimal places)
Rounding to the nearest tenth:
The digit in the hundredth place is 4, which is less than 5, so we leave the digit in the tenth place as it is.
-5.65428675099 rounded to the nearest tenth is approximately -5.7.
Rounding to the nearest hundredth:
The digit in the thousandth place is 2, which is less than 5, so we leave the digit in the hundredth place as it is.
-5.65428675099 rounded to the nearest hundredth is approximately -5.65.
Therefore, the rounded results are: -5.7 (to the nearest tenth) and -5.65 (to the nearest hundredth).
2. -13.254 * (-3.145):
-13.254 * (-3.145) = 41.67123 (to more decimal places)
Rounding to the nearest tenth:
The digit in the hundredth place is 7, which is greater than 5, so we round the digit in the tenth place up by one.
41.67123 rounded to the nearest tenth is approximately 41.7.
Rounding to the nearest hundredth:
The digit in the thousandth place is 1, which is less than 5, so we leave the digit in the hundredth place as it is.
41.67123 rounded to the nearest hundredth is approximately 41.67.
Therefore, the rounded results are: 41.7 (to the nearest tenth) and 41.67 (to the nearest hundredth).