Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)
Responses
4.36765 ×105
4.36765 times 10 superscript 5 baseline
364,879
364,879
3.64879 ×105
3.64879 times 10 superscript 5 baseline
4.63 ×105
4.63 times 10 superscript 5 baseline
To compare the numbers using scientific notation, we need to rewrite them in the proper format.
364,879 can be written as 3.64879 × 10^5 (3.64879 times 10 to the power of 5).
463,000 can be written as 4.63 × 10^5 (4.63 times 10 to the power of 5).
436,765 can be written as 4.36765 × 10^5 (4.36765 times 10 to the power of 5).
To determine which number has the least value, we compare the coefficients (3.64879, 4.63, and 4.36765) and see that 3.64879 is the smallest. Therefore, 364,879 has the least value in scientific notation.
To compare the given numbers using scientific notation, we need to write them in the form of a number between 1 and 10 multiplied by a power of 10.
Let's start with 364,879. To convert this number to scientific notation, we want to move the decimal point so that only one digit is to the left of it. In this case, we move the decimal point 5 places to the left. This gives us:
364,879 = 3.64879 × 10^5
Next, let's convert 463,000. Again, we want to move the decimal point so that only one digit is to the left of it. In this case, we move the decimal point 5 places to the left. This gives us:
463,000 = 4.63 × 10^5
Lastly, let's convert 436,765. We want to move the decimal point so that only one digit is to the left of it. In this case, we move the decimal point 5 places to the left. This gives us:
436,765 = 4.36765 × 10^5
Now, we can compare the numbers. Looking at the exponents of 10, we can see that all three numbers have the same exponent, which is 5. Therefore, we need to compare the numbers in front of the exponent.
Out of 3.64879, 4.63, and 4.36765, the smallest value belongs to 3.64879.
So, the number with the least value among 364,879, 463,000, and 436,765 in scientific notation is 3.64879 × 10^5.