Find a two mixed numbers such that when you estimate their sum by rounding to the nearest whole number you get a different estimate than when you round to the nearest half.
Not sure about rounding to the nearest half???
113.47 round to the nearest meters
2 3/8 + 1 7/8
Nearest whole number = 2 + 2 = 4
Nearest half = 2 1/2 + 2 = 4 1/2
Would this be right? 1-3/8 + 1-3/7
rounded nearest 1/2 number rounded nearest whole
1-1/2 1-3/8 1
1-1/2 1-3/7 1
Add 3 2
Thank you Ms. Sue. Could you double check mine.
I will write the answer like you did for 1 3/8 + 1 3/7
Nearest whole number = 1 + 1 = 2
Nearest half = 1 1/2 + 1 1/2 = 3
Correct?
2 4/10 + 1 6/7= 2+2=4 for whole and for half is 2+ 1 1/2= 3 1/2
Rounding to the nearest half means finding the nearest multiple of 0.5 or 1/2. To round a number to the nearest half, you look at the decimal part. If it is less than 0.25, you round down to the nearest whole number. If it is greater than or equal to 0.25, you round up to the next whole number.
Now let's find two mixed numbers such that when you estimate their sum by rounding to the nearest whole number, you get a different estimate than when you round to the nearest half.
Let's start with the first mixed number, which will have a whole number part and a fraction part. To ensure that rounding to the nearest whole number gives a different estimate than rounding to the nearest half, we will set the fraction part to be greater than or equal to 0.75.
Let's say the first mixed number is 3 and 3/4.
Now let's find the second mixed number, which should also have a whole number part and a fraction part. To ensure a different estimate when rounding to the nearest whole number and rounding to the nearest half, we will set the fraction part to be less than 0.25.
Let's say the second mixed number is 2 and 1/6.
Now let's estimate the sum of these two mixed numbers by rounding to the nearest whole number and rounding to the nearest half:
When rounding to the nearest whole number:
3 and 3/4 rounds to 4
2 and 1/6 rounds to 2
Estimated sum: 4 + 2 = 6
When rounding to the nearest half:
3 and 3/4 rounds to 4
2 and 1/6 rounds to 2 and 1/2
Estimated sum: 4 + 2 and 1/2 = 6 and 1/2
As you can see, when rounding to the nearest whole number, the estimated sum is 6, while when rounding to the nearest half, the estimated sum is 6 and 1/2. Therefore, the estimates for the sum differ depending on the rounding method used.