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?
(1 point)
Responses
none
none
1
1
2
2
infinitely many
2
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 the number of digits the sum should have after the decimal point, we can follow these steps:
Step 1: Identify the number of digits after the decimal point in the number with two digits.
In this case, the number has two digits after the decimal point.
Step 2: Determine the possible number of digits after the decimal point in the sum.
When adding a whole number to a number with two digits after the decimal point, the sum will have the same number of digits after the decimal point as the number with two digits.
Therefore, the answer is 2.
To determine how many digits should be present after the decimal point in the sum, we need to consider the two numbers being added. Let's break it down into steps:
1. Consider the number with two digits after the decimal point. This implies that this number can range from 0.01 to 0.99 (inclusive), as those are the possible values with two decimal places.
2. Now, let's think about the whole number. A whole number does not have any digits after the decimal point, so it can be any positive integer greater than zero (1, 2, 3, 4, and so on).
3. When these two numbers are added, the whole number will be added to the decimal number. For example, if the decimal number is 0.25 and the whole number is 5, the sum will be 5.25.
4. As we can see, the sum includes the decimal number, so it should have the same number of digits after the decimal point as the decimal number itself, which is two digits.
Therefore, the answer is 2, meaning that the sum should have two digits after the decimal point to ensure it is reasonable given the initial numbers.