Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value? (1 point)
• 364,879
• 4.36765 x 10^5
• 4.63 × 10^5
• 3.64879 x 10^5
In scientific notation, a number is expressed as a decimal number between 1 and 10 multiplied by a power of 10.
Using scientific notation:
364,879 = 3.64879 x 10^5
463,000 = 4.63 x 10^5
436,765 = 4.36765 x 10^5
To compare these numbers, we just need to look at the decimal number in front:
3.64879 x 10^5 < 4.63 x 10^5 < 4.36765 x 10^5
Therefore, the number 3.64879 x 10^5 (364,879) has the least value.
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? (1 point)
• 1.2740876635 × 10^10
• 12,920,370,000
• 1.345763334 × 10^9
• 1.292037 x 10^10
Compare 7.6 x 10^-25 and 6.7 x 10^-52. Which statement is true? (1 point)
• 7.6 × 10^-25 = 6.7 × 10^-52
• 7.6 x 10^-25 ≤ 6.7 × 10^-52
• 7.6 x 10^-25 < 6.7 × 10^-52
• 7.6 × 10^-25 > 6.7 x 10^-52
To compare these numbers, we need to compare the decimal numbers in front of the powers of 10.
7.6 x 10^-25 has a decimal number of 7.6.
6.7 x 10^-52 has a decimal number of 6.7.
Since 7.6 is greater than 6.7, we can conclude that:
7.6 x 10^-25 > 6.7 x 10^-52
Which set of numbers is arranged in descending order? (1 point)
A. 7 x 10^-30, 7.2 x 10^-25,7.2 x 10^-30, 7.6 × 10^-25
• 7.6 x 10^-25, 7.2 × 10^-30, 7.2 × 10^-25, 7 × 10^-30
C 7.6 x 10^-25, 7.2 x 10^-25, 7.2 × 10^-30,7 × 10^-30
D 7.2 x 10^-30, 7 × 10^-30 7.6 × 10^-25, 7.2 x 10^-25
To arrange the numbers in descending order, we need to compare the decimal numbers in front of the powers of 10.
The given set of numbers is:
A. 7 x 10^-30, 7.2 x 10^-25, 7.2 x 10^-30, 7.6 x 10^-25
Comparing the decimal numbers in front:
7 < 7.2 < 7.2 < 7.6
Therefore, the correct arrangement in descending order is:
C. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
In which set are the numbers arranged in ascending order? (1 point)
A 0.00125, 0.00225, 0.000325, 0.00325
B 3.25 × 10^-3,2.25 × 10^-3,3.25 × 10^-4, 1.25 × 10^-3
C 0.000325, 0.00225, 0.00125, 0.00325
D 3.25 × 10^-4,1.25 × 10^-3, 2.25 × 10^-3, 3.25 × 10^-3
Use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place.
To compare these numbers in scientific notation, we need to convert them into scientific notation.
34,835,760 can be expressed as 3.483576 × 10^7
43,835,760 can be expressed as 4.383576 × 10^7
Comparing the decimal numbers in front:
3.483576 < 4.383576
Therefore, in scientific notation, the number 43,835,760 is greater than 34,835,760.