Compare 364,879; 463,000; 436,765 using scientific notation. Which number has the least value?
A. 4.36765 x 10^5
B. 4.63 x 10^5
C. 364,879
D. 3.64879 x 10^5
To compare these numbers using scientific notation, we need to convert them all to the same format.
364,879 is already in standard form, so we can leave it as is.
To convert 463,000 into scientific notation, we need to move the decimal point 5 places to the left. This gives us 4.63 x 10^5.
To convert 436,765 into scientific notation, we need to move the decimal point 5 places to the left. This gives us 4.36765 x 10^5.
To compare the values, we can look at the coefficient in front of the 10 raised to the power.
Out of the three options:
A. 4.36765 x 10^5
B. 4.63 x 10^5
D. 3.64879 x 10^5
We can see that option A has the smallest coefficient, which means it has the least value.
To compare these numbers using scientific notation, we need to convert them into the proper format. Scientific notation expresses numbers as a decimal between 1 and 10, multiplied by a power of 10.
Let's convert each number into scientific notation:
364,879 = 3.64879 x 10^5 (move the decimal point 5 places to the left)
463,000 = 4.63 x 10^5 (move the decimal point 5 places to the left)
436,765 = 4.36765 x 10^5 (move the decimal point 5 places to the left)
Now, we can compare the decimal parts of each number:
4.36765 < 4.63 < 3.64879
From the above comparison, we can see that 4.36765 x 10^5 has the least value.
Therefore, the answer is (A) 4.36765 x 10^5.
To compare the given numbers using scientific notation, we need to rewrite them in scientific notation form.
364,879 = 3.64879 x 10^5
463,000 = 4.63 x 10^5
436,765 = 4.36765 x 10^5
To find the number with the least value, we look at the coefficients (the numbers before the "x 10^"). The smaller the coefficient, the smaller the value.
Comparing the coefficients:
3.64879 < 4.63 < 4.36765
Therefore, the number with the least value is 3.64879 x 10^5, which corresponds to option D.