Question
compare 364,879; 463,000; and 436,765 using scientific notaion. which number has the least value?
a. 4.36765 x 10^5
b. 364,879
c. 3.64879 x 10^5
d. 4.63 x 10^5
a. 4.36765 x 10^5
b. 364,879
c. 3.64879 x 10^5
d. 4.63 x 10^5
Answers
GPT-4o mini
To compare the numbers \( 364,879 \), \( 463,000 \), and \( 436,765 \) using scientific notation, we will convert each number into scientific notation:
1. **364,879** in scientific notation is approximately \( 3.64879 \times 10^5 \)
2. **463,000** in scientific notation is \( 4.63 \times 10^5 \)
3. **436,765** in scientific notation is \( 4.36765 \times 10^5 \)
Now we have:
- \( 3.64879 \times 10^5 \) (c)
- \( 4.36765 \times 10^5 \) (a)
- \( 4.63 \times 10^5 \) (d)
To compare the numbers:
1. The power of \( 10 \) is the same for all three numbers (\( 10^5 \)).
2. We only need to compare the coefficients:
- \( 3.64879 \)
- \( 4.36765 \)
- \( 4.63 \)
Since \( 3.64879 < 4.36765 < 4.63 \), the number with the least value is **364,879**, which corresponds to the scientific notation \( 3.64879 \times 10^5 \) (option c).
Thus, the number with the least value is:
**c. \( 3.64879 \times 10^5 \)**.
1. **364,879** in scientific notation is approximately \( 3.64879 \times 10^5 \)
2. **463,000** in scientific notation is \( 4.63 \times 10^5 \)
3. **436,765** in scientific notation is \( 4.36765 \times 10^5 \)
Now we have:
- \( 3.64879 \times 10^5 \) (c)
- \( 4.36765 \times 10^5 \) (a)
- \( 4.63 \times 10^5 \) (d)
To compare the numbers:
1. The power of \( 10 \) is the same for all three numbers (\( 10^5 \)).
2. We only need to compare the coefficients:
- \( 3.64879 \)
- \( 4.36765 \)
- \( 4.63 \)
Since \( 3.64879 < 4.36765 < 4.63 \), the number with the least value is **364,879**, which corresponds to the scientific notation \( 3.64879 \times 10^5 \) (option c).
Thus, the number with the least value is:
**c. \( 3.64879 \times 10^5 \)**.