Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?
To write these numbers in scientific notation, we need to move the decimal point until there is only one non-zero digit to the left of the decimal point, and then multiply it by the power of 10 required to make up for the moved decimal point.
Let's convert each number into scientific notation:
364,879 = 3.64879 × 10^5
463,000 = 4.63 × 10^5
436,765 = 4.36765 × 10^5
Comparing these numbers, we see that 3.64879 × 10^5 or 364,879 has the least value because its coefficient (3.64879) is the smallest of the three numbers.
To compare the given numbers using scientific notation, we need to express each of them in the form of A × 10^B, where A is a number between 1 and 10 (inclusive) and B is an integer.
Let's start with 364,879. To express it in scientific notation, we need to move the decimal point four places to the left, resulting in 3.64879 × 10^5.
Next, let's convert 463,000. Similarly, moving the decimal point five places to the left gives us 4.63 × 10^5.
Finally, we convert 436,765. Moving the decimal point five places to the left gives us 4.36765 × 10^5.
Now, we can directly compare the exponents (B values) in scientific notation. Among the given numbers, the one with the smallest exponent has the least value. In this case, both 3.64879 × 10^5 and 4.63 × 10^5 have exponents of 5, while 4.36765 × 10^5 has an exponent of 5 as well. Therefore, all the numbers have the same value in this context.
In summary, when comparing the given numbers in scientific notation, none of them has the least value since their exponents are the same.
To compare these numbers using scientific notation, we need to rewrite them in the form of a number between 1 and 10 multiplied by a power of 10.
364,879 can be written as 3.64879 × 10^5
463,000 can be written as 4.63 × 10^5
436,765 can be written as 4.36765 × 10^5
To determine which number has the least value, we compare the numerical value of the part before the multiplication symbol (∗) in scientific notation.
In this case, 3.64879 is the smallest among the three numbers. Therefore, 364,879 has the least value.