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 write these numbers in scientific notation, we need to move the decimal point so there is only one non-zero digit to the left of it.
For 34,835,760, we can write it as 3.4835760 × 10^7
For 43,835,760, we can write it as 4.3835760 × 10^7
To compare these two numbers, we compare the coefficients (the numbers to the left of the multiplication sign).
In this case, 4.3835760 > 3.4835760
Therefore, 43,835,760 is greater than 34,835,760 in scientific notation.
to the decimal place
To determine which number is greater to the decimal place, we need to compare the digits immediately following the decimal point in scientific notation.
For 3.4835760 × 10^7, the decimal place is at the 7th position after the 3.
For 4.3835760 × 10^7, the decimal place is also at the 7th position after the 4.
The digits immediately following the decimal point are the same in both numbers: 8.
Therefore, 34,835,760 and 43,835,760 are equal to the exact decimal place in scientific notation.
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)
To compare these numbers in scientific notation, we need to convert them into scientific notation form.
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
To compare the numbers, we compare the coefficients (the numbers to the left of the multiplication sign), starting with the leftmost digit.
In this case, 1.23893 > 1.2786 > 3.1892
Therefore, the number 12,786 has the least value in scientific notation, expressed to the exact decimal place.
Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)
Responses
3.64879 ×10^5
3.64879 times 10 superscript 5 baseline
4.63 ×10^5
4.63 times 10 superscript 5 baseline
364,879
364,879
4.36765 ×10^5
To compare these numbers using scientific notation, we need to write them in scientific notation form.
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
To compare the numbers, we compare the coefficients (the numbers to the left of the multiplication sign), starting with the leftmost digit.
In this case, 3.64879 < 4.63 < 4.36765
Therefore, the number 364,879 has the least value in scientific notation.
choose a answer.
Apologies for the confusion in my previous response. To compare the numbers in scientific notation and determine which has the least value, we need to compare the coefficients (the numbers to the left of the multiplication sign), starting from the leftmost digit.
The numbers in scientific notation form are:
364,879 = 3.64879 × 10^5
463,000 = 4.63 × 10^5
436,765 = 4.36765 × 10^5
Comparing the coefficients, we find that:
3.64879 < 4.63 < 4.36765
Therefore, the number 364,879, expressed in scientific notation as 3.64879 × 10^5, 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)
Responses
1.345763334×10^9
1.345763334 times 10 superscript 9 baseline
12,920,370,000
12,920,370,000
1.2740876635×10^10
1.2740876635 times 10 superscript 10 baseline
1.292037×10^10
To compare these numbers using scientific notation, we need to convert them into scientific notation form.
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
To determine which number has the greatest value, we compare the coefficients (the numbers to the left of the multiplication sign), starting from the leftmost digit.
In this case, we compare 1.2740876635, 1.345763334, and 1.292037.
1.2740876635 > 1.345763334 > 1.292037
Therefore, the number 12,740,876,635, expressed in scientific notation as 1.2740876635 × 10^10, has the greatest value.
Compare 7.6 × 10^−25 and 6.7 × 10^−52. Which statement is true?(1 point)
Responses
7.6 × 10^−25 > 6.7 × 10^−52
7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline
7.6 × 10^−25 ≤ 6.7 × 10^−52
7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline
7.6 × 10^−25 = 6.7 × 10^−52
7.6 times 10 Superscript negative 25 Baseline equals 6.7 times 10 Superscript negative 52 Baseline
7.6 × 10^−25 < 6.7 × 10^−52
To compare 7.6 × 10^−25 and 6.7 × 10^−52, we compare the coefficients (the numbers to the left of the multiplication sign).
In this case, 7.6 > 6.7.
Since both numbers have negative exponents, a larger negative exponent indicates a smaller value. Therefore, 10^-25 is larger than 10^-52.
Therefore, the statement "7.6 × 10^-25 > 6.7 × 10^-52" is true.
Which set of numbers is arranged in descending order?(1 point)
Responses
7.6 × 10^−25, 7.2 × 10^−30, 7.2 × 10^−25, 7 × 10^−30
7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30
7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline
7.2 × 10^−30, 7 × 10^−30, 7.6 × 10^−25, 7.2 × 10^−25
7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline
7 × 10^−30, 7.2 × 10^−25, 7.2 × 10^−30, 7.6 × 10^−25
To arrange numbers in descending order, we compare their values, starting from the largest.
The set of numbers is:
7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30
Comparing the values, we see that:
7.6 × 10^−25 > 7.2 × 10^−25 > 7.2 × 10^−30 > 7 × 10^−30
Therefore, the set of numbers arranged in descending order is:
7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30
In which set are the numbers arranged in ascending order?(1 point)
Responses
0.000325, 0.00225, 0.00125, 0.00325
0.000325, 0.00225, 0.00125, 0.00325
3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 3 Baseline
3.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−4, 1.25 × 10^−3
3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline
0.00125, 0.00225, 0.000325, 0.00325
To arrange numbers in ascending order, we compare their values, starting from the smallest.
The set of numbers is:
0.000325, 0.00225, 0.00125, 0.00325
Comparing the values, we see that:
0.000325 < 0.00125 < 0.00225 < 0.00325
Therefore, the set of numbers arranged in ascending order is:
0.000325, 0.00125, 0.00225, 0.00325