use scientific notations to compare these numbers 12,740,635, 1,345,763,334 and 12,920,370, Which has the greatest value?
A) 1.2740876635 x 10^10
B) 1.292037 x 10^10
C) 12,920,370,000
D) 1.345763334
To compare these numbers using scientific notation, we need to express each number in the correct scientific notation format:
12,740,635 = 1.2740635 x 10^7
1,345,763,334 = 1.345763334 x 10^9
12,920,370 = 1.292037 x 10^7
Now, we can determine which number has the greatest value:
1.2740635 x 10^7 < 1.292037 x 10^7 < 1.345763334 x 10^9
Therefore, the number in option B) 1.292037 x 10^10 has the greatest value.
To compare these numbers in scientific notation, we need to convert each of them to scientific notation.
The scientific notation is written in the form of A x 10^B, where A is a number between 1 and 10, and B is an integer.
Let's convert each number:
12,740,635 = 1.2740635 x 10^7
1,345,763,334 = 1.345763334 x 10^9
12,920,370 = 1.292037 x 10^7
Now, let's compare the numbers:
A) 1.2740876635 x 10^10
B) 1.292037 x 10^10
C) 12,920,370,000
D) 1.345763334
By comparing the exponents, we see that A) and B) have the same exponent of 10^10.
Comparing the coefficient (the number before the exponent), we see that 1.292037 (option B) is greater than 1.2740876635 (option A).
Therefore, option B) 1.292037 x 10^10 has the greatest value.
To compare these numbers using scientific notation, we need to rewrite them in the same format. Here are the numbers in scientific notation:
A) 1.2740876635 x 10^10
B) 1.292037 x 10^10
C) 1.292037 x 10^10
D) 1.345763334
Now, let's compare the numerical values:
A) 1.2740876635 x 10^10
B) 1.292037 x 10^10
Since both A and B have the same power of 10, we can compare the numerical values directly. The numerical value of A is 1.2740876635, and the numerical value of B is 1.292037.
Since 1.292037 is greater than 1.2740876635, B has the greater value.
Therefore, the option with the greatest value is option B) 1.292037 x 10^10.
Compare 7.6 x 10^-25 and 6.7 x 10-52 which statement is true?
A) 7.6 x 10^-25 > 6.7 x 10^-52
B) 7.6 x 10^-25 ≤ 6.7 x 10^-52
C) 7.6 x 10^-25 = 6.7 x 10^-52
D) 7.6 x 10^-25 < 6.7 x 10^-52
To compare these numbers in scientific notation, we need to compare the numerical values after converting them to standard decimal form:
7.6 x 10^-25 = 0.00000000000000000000000076
6.7 x 10^-52 = 0.000000000000000000000000000000000000000000000000067
Comparing the decimal values, we see that 0.00000000000000000000000076 is greater than 0.000000000000000000000000000000000000000000000000067.
Therefore, the option that is true is A) 7.6 x 10^-25 > 6.7 x 10^-52.
A) 7.2 x 10^-30 , 7 x 10^-25 , 7.2 x 10^-25
B) 7.2 x 10^-25 , 7.2 x 10^-30 , 7 x 10^-30
C) 7.2 x 10^-25 , 7.2 x 10^-25 , 7 x 10^-30
D) 7.2 x 10^-30 , 7.2 x 10^-30 , 7.6 x 10^-25
To compare these numbers in scientific notation, we need to compare the numerical values after converting them to standard decimal form:
7.2 x 10^-30 = 0.000000000000000000000000000000072
7 x 10^-25 = 0.00000000000000000000000007
7.2 x 10^-25 = 0.000000000000000000000000072
Comparing the decimal values, we see that 0.00000000000000000000000007 is smaller than 0.000000000000000000000000072, and they are both smaller than 0.000000000000000000000000000000072.
Therefore, the correct answer is C) 7.2 x 10^-25 , 7.2 x 10^-25 , 7 x 10^-30.
Which one of these numbers is arranged in descending order?
A) 7.2 x 10^-30 , 7 x 10^-25 , 7.2 x 10^-25
B) 7.2 x 10^-25 , 7.2 x 10^-30 , 7 x 10^-30
C) 7.2 x 10^-25 , 7.2 x 10^-25 , 7 x 10^-30
D) 7.2 x 10^-30 , 7.2 x 10^-30 , 7.6 x 10^-25
To arrange these numbers in descending order, we need to compare their values after converting them to standard decimal form:
A) 7.2 x 10^-30 = 0.000000000000000000000000000000072
7 x 10^-25 = 0.00000000000000000000000007
7.2 x 10^-25 = 0.000000000000000000000000072
B) 7.2 x 10^-25 = 0.000000000000000000000000072
7.2 x 10^-30 = 0.000000000000000000000000000000072
7 x 10^-30 = 0.00000000000000000000000000000007
C) 7.2 x 10^-25 = 0.000000000000000000000000072
7.2 x 10^-25 = 0.000000000000000000000000072
7 x 10^-30 = 0.00000000000000000000000000000007
D) 7.2 x 10^-30 = 0.000000000000000000000000000000072
7.2 x 10^-30 = 0.000000000000000000000000000000072
7.6 x 10^-25 = 0.000000000000000000000000076
Comparing the decimal values, we see that the descending order is:
D) 7.6 x 10^-25 , 7.2 x 10^-30 , 7.2 x 10^-30
Therefore, the correct answer is D) 7.6 x 10^-25 , 7.2 x 10^-30 , 7.2 x 10^-30.
I’m which set are the numbers Arranged in ascending order?
A) 0.00125, 0.00225, 0.000325, 0.00325
B) 3.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-4, 1.25 x 10^-3
C) 3.25 x 10^-4, 1.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-3
D) 0.000325, 0.00225, 0.00125, 0.00315
To arrange the numbers in ascending order, we need to compare their numerical values:
A) 0.00125
B) 0.00225
C) 0.000325
D) 0.00325
Comparing the decimal values, we see that the ascending order is:
C) 0.000325, 0.00125, 0.00225, 0.00325
Therefore, the correct answer is C) 3.25 x 10^-4, 1.25 x 10^-3, 2.25 x 10^-3, 3.25 x 10^-3.