Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?

Question

1. 4.63 x 10 to the fifth power
2. 4.36765 x 10 to the fifth power
3. 3.64879 x 10 to the fifth power
4. 364,879

Answer 1

To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, let's convert them:

1. 364,879 can be expressed as \( 3.64879 \times 10^5 \)
2. 463,000 can be expressed as \( 4.63 \times 10^5 \)
3. 436,765 can be expressed as \( 4.36765 \times 10^5 \)

Now, we can compare these scientific notations:

1. \( 3.64879 \times 10^5 \)
2. \( 4.63 \times 10^5 \)
3. \( 4.36765 \times 10^5 \)

Clearly, when looking at the coefficients (the numbers before the multiplication by \( 10^5 \)), it is evident that:

• \( 3.64879 \) is less than \( 4.36765 \)
• \( 4.36765 \) is less than \( 4.63 \)

Thus, the number with the least value is 364,879, which is expressed in scientific notation as \( 3.64879 \times 10^5 \).

To summarize:

• The number with the least value is 364,879 (or \( 3.64879 \times 10^5 \)).