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.(1 point)
To write the numbers in scientific notation, we need to move the decimal place to the right until there is only one digit to the left of the decimal point.
34,835,760 can be written as 3.4835760 × 10^7
43,835,760 can be written as 4.3835760 × 10^7
Comparing these numbers, we see that 4.3835760 × 10^7 is greater than 3.4835760 × 10^7.
To write the numbers in scientific notation, we need to move the decimal place to the right until there is only one digit to the left of the decimal point.
123,893 can be written as 1.23893 × 10^5
31,892 can be written as 3.1892 × 10^4
12,786 can be written as 1.2786 × 10^4
Comparing these numbers, we see that 1.2786 × 10^4 has the least value, as it has the smallest coefficient.
To write the numbers in scientific notation, we need to move the decimal place to the right until there is only one digit to the left of the decimal point.
654,987,034 can be written as 6.54987034 × 10^8
645,897,430 can be written as 6.4589743 × 10^8
546,789,340 can be written as 5.4678934 × 10^8
Comparing these numbers, we see that 6.54987034 × 10^8 has the greatest value, as it has the largest coefficient.
Use scientific notation to determine which of these numbers has the least value: 123,893, 31,892, or 12,786. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
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, we need to move the decimal place to the right until there is only one digit to the left of the decimal point.
364,879 can be written as 3.64879 × 10^5
463,000 can be written as 4.63 × 10^5
436,765 can be written as 4.36765 × 10^5
Comparing these numbers, we see that 3.64879 × 10^5 has the least value, as it has the smallest coefficient.
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)
To compare the numbers using scientific notation, we need to move the decimal place to the right until there is only one digit to the left of the decimal point.
12,740,876,635 can be written as 1.2740876635 × 10^10
1,345,763,334 can be written as 1.345763334 × 10^9
12,920,370,000 can be written as 1.292037 × 10^10
Comparing these numbers, we see that 1.292037 × 10^10 has the greatest value, as it has the largest coefficient.
Compare 7.6 × 10^−25 and 6.7 × 10^−52 . Which statement is true?(1 point)
To compare the numbers 7.6 × 10^−25 and 6.7 × 10^−52, we can directly compare the exponents of 10.
The exponent -25 is greater than -52, which means 10^−25 is a larger number than 10^−52.
Therefore, the statement "7.6 × 10^−25 is greater than 6.7 × 10^−52" is true.
Which set of numbers is arranged in descending order?(1 point)
In order to determine which set of numbers is arranged in descending order, we need a set of numbers to compare. Please provide the set of numbers you would like to compare.
Which set of numbers is arranged in descending order?(1 point)
7.6 × 10^−25, 7.2 × 10^−30, 7.2 × 10^−25, 7 × 10^−30
7.2 × 10^−30, 7 × 10^−30, 7.6 × 10^−25, 7.2 × 10^−25
7 × 10^−30, 7.2 × 10^−25, 7.2 × 10−^30, 7.6 × 10^−25
7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30
To arrange the given numbers in descending order, we compare the coefficients of the powers of 10 first. If the coefficients are the same, we compare the exponents.
Comparing the set of numbers:
7.6 × 10^−25, 7.2 × 10^−30, 7.2 × 10^−25, 7 × 10^−30
We see that 7.2 × 10^−30 is the smallest number, followed by 7 × 10^−30.
Between the remaining two numbers, 7.6 × 10^−25 and 7.2 × 10^−25, we see that 7.6 × 10^−25 is greater than 7.2 × 10^−25.
Therefore, the set of numbers arranged in descending order is:
7.2 × 10^−30, 7 × 10^−30, 7.6 × 10^−25, 7.2 × 10^−25
In which set are the numbers arranged in ascending order?(1 point)
0.00125, 0.00225, 0.000325, 0.00325
3.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−4, 1.25 × 10^−3
3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
0.000325, 0.00225, 0.00125, 0.00325
To arrange the given numbers in ascending order, we compare the values of the numbers themselves regardless of scientific notation.
Comparing the set of numbers:
0.00125, 0.00225, 0.000325, 0.00325
We see that 0.000325 is the smallest number, followed by 0.00125.
Between the remaining two numbers, 0.00225 and 0.00325, we see that 0.00225 is smaller than 0.00325.
Therefore, the set of numbers arranged in ascending order is:
0.000325, 0.00125, 0.00225, 0.00325
Compare 0.0000635 and 0.000456. Write <, >, or = in the blank.(1 point)
0.0000635_0.000456