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
12,920,370,000
1.292037×10^10
1.2740876635×10^10
To compare the numbers using scientific notation:
12,740,876,635 = 1.2740876635 × 10^10
1,345,763,334 = 1.345763334 × 10^9
12,920,370,000 = 1.292037 × 10^10
Comparing the values of the exponents, we can see that 1.292037 × 10^10 is the greatest value.
To compare these numbers using scientific notation, we need to write them in standard scientific notation form.
12,740,876,635 = 1.2740876635 × 10^10
1,345,763,334 = 1.345763334 × 10^9
12,920,370,000 = 1.292037 × 10^10
Now we can compare the exponents.
1.2740876635 × 10^10 and 1.292037 × 10^10 both have the exponent of 10, but the coefficient of 1.292037 × 10^10 is larger, so it has the greatest value.
Therefore, the number 12,920,370,000 has the greatest value.
To compare these numbers using scientific notation, we need to rewrite each number in scientific notation form.
Let's start with 12,740,876,635. To convert this number to scientific notation, we can move the decimal point to the right until we have a number between 1 and 10, and count the number of places we moved the decimal point.
12,740,876,635 becomes 1.2740876635 multiplied by 10 raised to the power of 10 (1.2740876635 × 10^10).
Next, let's convert 1,345,763,334 to scientific notation. We can again move the decimal point to the right until we have a number between 1 and 10, and count the number of places we moved the decimal point.
1,345,763,334 becomes 1.345763334 multiplied by 10 raised to the power of 9 (1.345763334 × 10^9).
Lastly, let's convert 12,920,370,000 to scientific notation. Like before, we move the decimal point to the right until we have a number between 1 and 10, and count the number of places we moved the decimal point.
12,920,370,000 becomes 1.292037 multiplied by 10 raised to the power of 10 (1.292037 × 10^10).
Now that we have all the numbers in scientific notation, we can compare them. The number with the greatest value will have the largest coefficient (the number before the multiplication sign) or the largest exponent.
Looking at the coefficients, 1.345763334 × 10^9 is the smallest, followed by 1.2740876635 × 10^10 and 1.292037 × 10^10.
Comparing the exponents, both 1.2740876635 × 10^10 and 1.292037 × 10^10 have the same exponent of 10. Therefore, to determine the greater value between these two, we look at their coefficients. The number with the greater coefficient, 1.292037 × 10^10, has the greatest value.
Therefore, the number with the greatest value is 12,920,370,000 represented as 1.292037 × 10^10.