Asked by Nugget
Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value? (1 point)
364,879
4.36765 × 10
5
3.64879 × 10
5
4.63 × 10
5
364,879
4.36765 × 10
5
3.64879 × 10
5
4.63 × 10
5
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
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.
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