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
12,920,370,000
12,920,370,000
1.292037×1010
1.292037 times 10 superscript 10 baseline
1.345763334×109
1.345763334 times 10 superscript 9 baseline
1.2740876635×1010
1.2740876635 times 10 superscript 10 baseline
To compare the three numbers using scientific notation:
- 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 the exponents, we see that 10^10 is greater than 10^9. Therefore, the number 12,920,370,000 (1.292037×10^10) has the greatest value.
To compare these numbers using scientific notation, we need to convert them into the proper format. The scientific notation format consists of a number between 1 and 10 multiplied by a power of 10.
Let's calculate the scientific notations for these numbers:
- 12,740,876,635: This number can be written as 1.2740876635 × 10^10.
- 1,345,763,334: This number can be written as 1.345763334 × 10^9.
- 12,920,370,000: This number can be written as 1.292037 × 10^10.
Now, comparing the powers of 10:
- 10^10 (12,740,876,635) is greater than 10^9 (1,345,763,334).
- 10^10 (12,920,370,000) is also greater than 10^9.
Since both numbers in scientific notation have a power of 10 equal to 10^10, we compare the coefficient values:
- 1.2740876635 (12,740,876,635) is smaller than 1.292037 (12,920,370,000).
Therefore, 12,920,370,000 (1.292037 × 10^10) has the greatest value among these numbers.