Question

a hummingbird nest has two eggs. Egg A has a weigh of 8.8x10-4 lbs and Egg B has a weigh of 2.2x10-3lb.
How many pounds greater is the weight of of Egg B than the weight of Egg A? write your answer in scientific notation.

Answer 1

To find how many pounds greater the weight of Egg B is than the weight of Egg A, we can subtract the weight of Egg A from the weight of Egg B:

1. Weight of Egg A: \( 8.8 \times 10^{-4} \) lbs
2. Weight of Egg B: \( 2.2 \times 10^{-3} \) lbs

First, let's express both weights with the same exponent for easier subtraction. We can convert Egg B's weight:

\( 2.2 \times 10^{-3} \) can be rewritten as:

\( 2.2 \times 10^{-3} = 22 \times 10^{-4} \) lbs (since \( 10^{-3} = 10^{-4} \times 10^1 \))

Now we can perform the subtraction:

\[
22 \times 10^{-4} - 8.8 \times 10^{-4}
\]

Subtracting the coefficients:

\[
(22 - 8.8) \times 10^{-4} = 13.2 \times 10^{-4}
\]

Finally, we express \( 13.2 \times 10^{-4} \) in scientific notation:

\[
13.2 \times 10^{-4} = 1.32 \times 10^{-3} \, \text{lbs}
\]

Thus, the weight of Egg B is \( 1.32 \times 10^{-3} \) lbs greater than the weight of Egg A.