Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value? (1 point)

Question

364,879
4.36765 × 10
5
3.64879 × 10
5
4.63 × 10
5

Answer 1

To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we first convert each number to its scientific notation format:

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 compare the mantissas (the numbers in front of the exponent):

• \( 3.64879 \)
• \( 4.36765 \)
• \( 4.63 \)

Among these three numbers, \( 3.64879 \) is the smallest. Therefore, the original number \( 364,879 \) has the least value.

So, the answer is:

364,879 has the least value.