Estimate the total weight of two boxes that weigh 9.4 lb and 62.6 ib using rounding and compatible numbers. Which estimate is closer to the actual weight?Why?
Rounding this comes out to the actual answer. How do I explain why?
To estimate the total weight of the two boxes, we can use rounding and compatible numbers.
1. Rounding method:
- Round 9.4 lb to the nearest whole number, which is 9 lb.
- Round 62.6 lb to the nearest whole number, which is 63 lb.
- Add the rounded weights: 9 lb + 63 lb = 72 lb.
2. Compatible numbers method:
- Look for compatible numbers that are easy to work with in calculation.
- Round 9.4 lb to 10 lb, which is compatible with 62.6 lb.
- Add the compatible rounded weights: 10 lb + 62.6 lb = 72.6 lb.
Comparing the two estimates, we find that both rounded and compatible numbers give an estimate of 72 lb or 72.6 lb for the total weight of the two boxes.
To determine which estimate is closer to the actual weight, we need to know the exact weight of the two boxes. However, since we only have rounded weights, we cannot accurately determine the closest estimate without more precise information.
In this case, both the rounded estimate of 72 lb and the compatible estimate of 72.6 lb are close to each other.