The mass of a hummingbird egg is 0.000374 grams.

Question

How is this number written in scientific notation?

Responses
A 3 point 7 4 times 10 to the negative 5 power
B 3 point 7 4 times 10 to the negative 4 power
C 0 point 3 7 4 times 10 to the negative 3 power
D 3 point 7 4 times 10 to the 4th power
Question 2
The mass of your little “pinky” toe is about 1.742 x 10^-2 lb.
How is written in scientific notation?
Responses
A 0 point 0 0 1 7 4 2
B 0 point 0 1 7 4 2
C 0 point 1 7 4 2
D 174 point 2
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Answer 1

Let's break down both questions:

Question 1: The mass of a hummingbird egg is 0.000374 grams.

To convert this number into scientific notation:

• The number should be written as a number between 1 and 10, so we move the decimal point 4 places to the right:
  • From 0.000374 to 3.74.
• Therefore, the scientific notation will be:
  • \( 3.74 \times 10^{-4} \).

The correct answer is B: \( 3.74 \times 10^{-4} \).

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Question 2: The mass of your little “pinky” toe is about \( 1.742 \times 10^{-2} \) lb.

This is already in scientific notation. However, to express it in standard decimal form:

• Move the decimal point 2 places to the left (because of the negative exponent):
  • \( 1.742 \) becomes \( 0.01742 \).

The correct answer in standard decimal notation options given is C: \( 0.1742 \).

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Feel free to ask if you have more questions!