Estimate the total weight of two boxes that weigh 9.4 lb and 62.6 lb using rounding and compatible numbers. Which estimate is closer to the actual weight?Why?

What estimates are being considered?

10 + 60 = ?

9 + 63 = ?

10+60=70

9+63

To estimate the total weight of two boxes, we can use rounding and compatible numbers. Rounding allows us to approximate numbers to a certain degree of accuracy, while compatible numbers are numbers that are easy to work with mentally.

First, let's round the weights of the boxes to a whole number. The first box weighing 9.4 lb can be rounded to 9 lb, and the second box weighing 62.6 lb can be rounded to 63 lb.

Now, let's add these rounded numbers together to get a rough estimate of the total weight: 9 lb + 63 lb = 72 lb.

Next, let's use compatible numbers. Since both weights have a decimal point, we can think about the numbers in terms of their place values. The first box has a tens place value (9) and the second box has a ones place value (63). To find compatible numbers, we can either round the tens value up or round the ones value down. In this case, we'll round the tens value up to 10 and round the ones value down to 60.

Now, let's add these compatible numbers: 10 + 60 = 70 lb.

To determine which estimate is closer to the actual weight, we need to know the actual weight of the two boxes. If the actual weight is between 70 lb and 72 lb, then the estimate of 70 lb using compatible numbers is closer to the actual weight. However, if the actual weight is between 72 lb and 74 lb, then the estimate of 72 lb using rounding is closer.

Without the knowledge of the actual weight, we cannot determine which estimate is closer to the actual weight. The actual weight would need to be known or provided to make a definitive comparison.

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