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

Answer 1

To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we first convert them into scientific notation format.

1. 364,879 can be expressed in scientific notation as: \[ 3.64879 \times 10^5 \]

2. 463,000 can be expressed in scientific notation as: \[ 4.63 \times 10^5 \]

3. 436,765 can be expressed in scientific notation as: \[ 4.36765 \times 10^5 \]

Now, let's compare them based on their coefficients in scientific notation, since they all have the same power of ten (\(10^5\)):

• 3.64879 (from 364,879)
• 4.63 (from 463,000)
• 4.36765 (from 436,765)

Now comparing these coefficients:

• 3.64879 < 4.36765 < 4.63

Thus, in terms of the original numbers:

• 364,879 is the smallest,
• 436,765 is in the middle,
• 463,000 is the largest.

In conclusion:

• The smallest number is 364,879.
• The largest number is 463,000.