Compare 364,879; 463,000; and 436,765 using scientific notation. Whitch number has the least value?
364,879 can be written in scientific notation as 3.64879 x 10^5.
463,000 can be written in scientific notation as 4.63 x 10^5.
436,765 can be written in scientific notation as 4.36765 x 10^5.
Comparing these numbers, it is clear that 364,879 has the least value in scientific notation.
To compare these numbers in scientific notation, we need to convert them. In scientific notation, a number is expressed as the product of a coefficient (between 1 and 10) and a power of 10.
1. 364,879: In scientific notation, this can be written as 3.64879 x 10^5.
2. 463,000: In scientific notation, this can be written as 4.63 x 10^5.
3. 436,765: In scientific notation, this can be written as 4.36765 x 10^5.
To compare the values, we look at the coefficient in each number. The coefficient in scientific notation is the number before the multiplication sign (x).
Among these numbers, 3.64879 is the smallest coefficient, so 364,879 has the least value.
To compare the given numbers using scientific notation, we need to express them in the form of a × 10^b, where "a" is a number between 1 and 10, and "b" is an exponent representing the power of 10.
Let's convert each number into scientific notation:
1) 364,879 = 3.64879 × 10^5
2) 463,000 = 4.63 × 10^5
3) 436,765 = 4.36765 × 10^5
Now that we have the numbers in scientific notation, we compare the values of the exponents (the "b" values). The number with the smallest exponent will have the least value.
Comparing the exponents:
3) 4.36765 × 10^5
2) 4.63 × 10^5
1) 3.64879 × 10^5
Since 10^5 is the same for all three numbers, we can focus on the coefficients ("a" values). The number with the smallest coefficient will have the least value.
Comparing the coefficients:
1) 3.64879
3) 4.36765
2) 4.63
From the comparison, we can see that 3.64879 is the smallest coefficient. Therefore, in scientific notation, the number 364,879 has the least value among the given numbers.