Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?
(1 point)
O 4.36765 × 105
O 4.63 × 105
O 3.64879 × 105
O 364,879
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To compare the three numbers using scientific notation, we need to express them in the form of a × 10^b, where 1 ≤ |a| < 10 and b is an integer.
The number 364,879 can be expressed as 3.64879 × 10^5 in scientific notation.
The number 463,000 can be expressed as 4.63 × 10^5 in scientific notation.
The number 436,765 can be expressed as 4.36765 × 10^5 in scientific notation.
To determine which number has the least value, we compare the coefficient (a part) of each number. The smaller the coefficient, the smaller the value.
Comparing the coefficients, we see that:
3.64879 < 4.63 < 4.36765
Therefore, the number with the least value is 3.64879 × 10^5.
To compare the given numbers using scientific notation, we need to express them in the form of a × 10^b, where a is a decimal number greater than or equal to 1, and b is an integer. The number with the smallest value will have the smallest value of b.
Let's convert the given numbers into scientific notation:
364,879 = 3.64879 × 10^5 (move the decimal point 5 places to the left)
463,000 = 4.63 × 10^5 (move the decimal point 5 places to the left)
436,765 = 4.36765 × 10^5 (move the decimal point 5 places to the left)
Now, we can see that the number 3.64879 × 10^5 has the smallest value of b (5), which means it has the least value among the given numbers.
Therefore, the correct answer is: O 3.64879 × 10^5.
To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we need to express each number in the form of m × 10^n, where m is a number between 1 and 10, and n is an integer.
Let's convert each number:
364,879 = 3.64879 × 10^5 (rounded to 5 decimal places)
463,000 = 4.63 × 10^5 (since moving the decimal to the left by 1 gives us 46.3, which is between 1 and 10)
436,765 = 4.36765 × 10^5 (rounded to 5 decimal places)
Now, we can see that 3.64879 × 10^5 is the smallest value among the three.
Therefore, the correct answer is:
O 3.64879 × 10^5