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 convert them into the proper form.
The first number is 12,740,876,635. In scientific notation, this is written as 1.2740876635 x 10^10.
The second number is 1,345,763,334. In scientific notation, this is written as 1.345763334 x 10^9.
The third number is 12,920,370,000. In scientific notation, this is written as 1.292037000 x 10^10.
Comparing the exponents, we can clearly see that 10^10 is greater than both 10^9 and 10^10.
Therefore, the number 12,740,876,635 (1.2740876635 x 10^10) has the greatest value.
To compare these numbers using scientific notation, we need to express them in the same format. In scientific notation, a number is written as the product of a decimal number between 1 and 10 (not including 10 itself) and a power of 10.
Let's express each number in 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 exponents, we can see that both 12,740,876,635 (1.2740876635 × 10^10) and 12,920,370,000 (1.292037 × 10^10) have the same exponent of 10.
To determine which one has the greatest value, we need to compare the decimal numbers. The decimal number in scientific notation represents the significant digits of a number, and the greater the decimal number, the greater the value.
Comparing the decimal numbers, 1.292037 is greater than 1.2740876635. Therefore, the number 12,920,370,000 (1.292037 × 10^10) has the greatest value.
To compare the given numbers using scientific notation, we need to express them in the form of a number between 1 and 10 multiplied by a power of 10.
Let's express each number using scientific notation:
Number 1: 12,740,876,635
This number can be expressed as 1.2740876635 × 10^10. (We move the decimal point 10 places to the left to obtain a number between 1 and 10, and the exponent denotes the number of positions we moved the decimal point.)
Number 2: 1,345,763,334
This number can be written as 1.345763334 × 10^9.
Number 3: 12,920,370,000
This number can be expressed as 1.292037 × 10^10.
Now, we can compare the numbers based on their exponents:
1.2740876635 × 10^10
1.345763334 × 10^9
1.292037 × 10^10
The number with the highest exponent (10) is 1.2740876635 × 10^10. Therefore, it has the greatest value among the given numbers.