Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?
A. 4.36765×10⁵
B. 3.64879×10⁵
C. 364,879
D. 4.63×10⁵
To convert the numbers to scientific notation, we need to move the decimal point until there is only one digit to the left of the decimal.
364,879 is already written in standard form, so it does not need to be converted to scientific notation.
For 463,000, we can move the decimal point 5 places to the left to get 4.63×10⁵.
For 436,765, we can move the decimal point 5 places to the left to get 4.36765×10⁵.
Comparing the numbers in scientific notation, we can see that 4.36765×10⁵ is the smallest value.
Therefore, the correct answer is:
A. 4.36765×10⁵
Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?
To compare the numbers using scientific notation, we need to convert them to scientific notation by moving the decimal point so that there is only one digit to the left of the decimal.
For 12,740,876,635, we can move the decimal point 10 places to the left to get 1.2740876635 × 10¹⁰.
For 1,345,763,334, we can move the decimal point 9 places to the left to get 1.345763334 × 10⁹.
For 12,920,370,000, we can move the decimal point 11 places to the left to get 1.292037 × 10¹⁰.
Comparing the numbers in scientific notation, we can see that 1.292037 × 10¹⁰ has the greatest value.
Therefore, the correct answer is:
12,920,370,000 has the greatest value.
To compare the numbers using scientific notation, we need to express them in the same format.
364,879 can be written in scientific notation as 3.64879×10⁵.
463,000 can be written in scientific notation as 4.63×10⁵.
And 436,765 can be written in scientific notation as 4.36765×10⁵.
Now, to determine which number has the least value, we compare the coefficients (the numbers before the ×10 raised to a power).
In this case, the coefficients are:
A. 4.36765
B. 3.64879
C. 364,879
D. 4.63
Comparing the coefficients, we can see that B. 3.64879 has the smallest coefficient among the given options.
Therefore, the number with the least value is B. 3.64879×10⁵.
To compare numbers using scientific notation, we need to rewrite them in the same format. To convert a number to scientific notation, we move the decimal point to the right or left until there is one non-zero digit to the left of the decimal.
Let's convert the given numbers to scientific notation:
A. 4.36765×10⁵
B. 3.64879×10⁵
C. 364,879 can be written as 3.64879×10⁵ (we moved the decimal point 5 places to the left)
D. 4.63×10⁵
Now, let's compare the numbers.
A. 4.36765×10⁵
B. 3.64879×10⁵
C. 3.64879×10⁵
D. 4.63×10⁵
Since all three numbers are written in the same form, we can simply compare the coefficients (the number before the multiplication symbol).
Out of the given numbers, the coefficient "3.64879" represents the smallest value. Therefore, the number with the least value is C. 364,879.