A whole number is added to a number with two digits after the decimal point. To make sure the answer is reasonable, how many digits should the sum have after the decimal point?
A. none
B. 1
C. 2
D. infinitely many
C. 2.
When you add a whole number to a decimal, the whole number can be thought of as having two digits after the decimal point (e.g. 4 can be written as 4.00). Therefore, when you add them together, you should expect to have two digits after the decimal point in the answer.
Which of the following cereals is the best buy?
(1 point)
Responses
28 oz. of cereal for $4.29
28 oz. of cereal for $4.29
32 oz. of cereal for $4.59
32 oz. of cereal for $4.59
36 oz. of cereal for $4.79
36 oz. of cereal for $4.79
24 oz. of cereal for $3.59
To determine how many digits the sum should have after the decimal point, we need to consider the rules for adding decimal numbers.
When we add decimal numbers, we align the decimal points and then add the digits to the right of the decimal point. The sum will have as many digits after the decimal point as the number with the most decimal digits.
In this case, we are adding a whole number (which has no decimal digits) to a number with two decimal digits. Therefore, the sum will have two digits after the decimal point.
So, the correct answer is C. 2.
To determine how many digits the sum should have after the decimal point, we need to consider the number with the most digits after the decimal point and add it to the whole number.
Let's consider the scenarios:
1. If the number with two digits after the decimal point has fewer digits after the decimal point than the whole number, then we don't need any digits after the decimal point in the sum. Therefore, the answer is A. None.
For example, if we add 5 to 13.24, we only need 13 as the sum.
2. If the number with two digits after the decimal point has more digits after the decimal point than the whole number, then the sum should have the same number of digits after the decimal point as the number with two digits. Therefore, the answer is C. 2.
For example, if we add 5 to 13.879, the sum should have two digits after the decimal point, resulting in 18.879.
3. If both the whole number and the number with two digits after the decimal point have the same number of digits after the decimal point, then the sum will have the same number of digits after the decimal point as well. Therefore, the answer is also C. 2.
For example, if we add 5 to 13.45, the sum should have two digits after the decimal point, resulting in 18.45.
In summary, the answer is C. 2, as it covers both scenarios where the number with two digits after the decimal point has more or equal digits after the decimal point compared to the whole number.