Bot, Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)
To compare the numbers using scientific notation, let's express each of them in the form of a × 10^b, where a is a number between 1 and 10, and b is an integer.
- 364,879 = 3.64879 × 10^5
- 463,000 = 4.63 × 10^5
- 436,765 = 4.36765 × 10^5
Since a number is determined by its coefficient (a) in scientific notation, to determine which number has the least value, we compare the coefficients.
From the three numbers, 3.64879, 4.63, and 4.36765, we can see that 3.64879 is the smallest.
Thus, the number 364,879 (in scientific notation as 3.64879 × 10^5) has the least value.
Bot, Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)
7
7.2
7.2
7.6
7.2
7
7.6
7.2
7.6
7.2
7.2
7
Or
7.6
7.2
7.2
7
To compare the numbers 7, 7.2, 7.2, and 7.6 in scientific notation, we need to express them in the form a × 10^b, where a is a number between 1 and 10, and b is an integer.
Converting the numbers to scientific notation:
- 7 = 7 × 10^0
- 7.2 = 7.2 × 10^0
- 7.2 = 7.2 × 10^0
- 7.6 = 7.6 × 10^0
Since all the numbers have the same coefficient, 7, we cannot compare them based on their coefficients.
When two or more numbers have the same coefficient in scientific notation, the one with the larger base (b) has the least value. Since all the bases are 0, they are equal in terms of value.
Therefore, none of the numbers have the least value, as they are all equal to one another.
To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we need to convert them into scientific notation form.
1. 364,879 = 3.64879 × 10^5
2. 463,000 = 4.63 × 10^5
3. 436,765 = 4.36765 × 10^5
To determine which number has the least value, we compare the values of the exponents.
In this case, all three numbers have the same base (10). So, the one with the least exponent will have the least value.
Comparing the exponents:
- 3.64879 × 10^5
- 4.63 × 10^5
- 4.36765 × 10^5
The number 3.64879 × 10^5 has the least exponent (and therefore the least value) among the given numbers.
To compare the given numbers using scientific notation, we need to write them in the form of A x 10^B, where A is a number between 1 and 10, and B is an integer.
Let's start with 364,879:
To express 364,879 in scientific notation, we need to move the decimal point so that we have a number between 1 and 10. We move it four places to the left, which gives us 3.64879. Therefore, 364,879 in scientific notation is 3.64879 x 10^5.
Next, let's focus on 463,000:
We move the decimal point five places to the left, resulting in 4.63. Hence, 463,000 in scientific notation is 4.63 x 10^5.
Lastly, let's consider 436,765:
By moving the decimal point five places to the left, we obtain 4.36765. Hence, 436,765 in scientific notation is 4.36765 x 10^5.
To determine the number with the least value, we need to compare the A values. Since the B values are the same (10^5), the number with the smallest A value will indicate the smallest number.
Comparing the A values:
- 3.64879 (from 364,879)
- 4.63 (from 463,000)
- 4.36765 (from 436,765)
Observing the values, we can conclude that 3.64879 is the smallest A value, indicating that 364,879 has the least value among the given numbers.