Compare Very Large and Very Small Numbers Quick Check
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Question
Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)
Responses
4.63 ×105
4.63 times 10 superscript 5 baseline
364,879
364,879
4.36765 ×105
4.36765 times 10 superscript 5 baseline
3.64879 ×105
3.64879 times 10 superscript 5.
To determine which number has the least value, we compare the exponents of the scientific notation. In this case, all three numbers have an exponent of 5, so we need to compare the coefficient (the number in front of the 10).
Among the three numbers, 3.64879 is the smallest coefficient, indicating that it has the least value.
To compare 364,879; 463,000; and 436,765 using scientific notation, we need to convert the numbers to scientific notation format.
364,879 in scientific notation is 3.64879 × 10^5.
463,000 in scientific notation is 4.63 × 10^5.
436,765 in scientific notation is 4.36765 × 10^5.
To determine which number has the least value, we compare the coefficients. The coefficient of 3.64879 × 10^5 is smaller than the coefficient of the other numbers, so the number 364,879 has the least value.
To compare the given numbers using scientific notation, follow these steps:
1. Write each number in scientific notation. In scientific notation, a number is represented as a decimal number multiplied by a power of 10.
364,879 becomes 3.64879 × 10^5
463,000 becomes 4.63 × 10^5
436,765 becomes 4.36765 × 10^5
2. Now compare the exponent values. The number with the smallest exponent will have the least value.
In this case, 3.64879 × 10^5 has the smallest exponent, so it has the least value among the given numbers.
Therefore, the correct answer is: 3.64879 × 10^5