Question

A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.

1000 of the coins weigh about ______ pounds.

Answer 1

1000 of the coins weigh about 5 pounds

Answer 2

1000 of the coins weigh about 5.1 pounds.

Explanation:

Consider the provided information.

A coin weighs about 14^−2pounds.

This can be written as:

`14^(-2)=(1)/(14^2)=(1)/(196)`

Now we need to find the weight of 1000 coins.

To find this simply multiply the weight of one coin with 1000.

`(1)/(196)* 1000=5.10\approx 5.1`

Hence, 1000 of the coins weigh about 5.1 pounds.