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?
A. 1.292037×10¹⁰
B. 12,920,370,000
C. 1.345763334×10⁹
D. 1.2740876635×10¹⁰
To compare these numbers using scientific notation, we need to convert them into the same format.
12,740,876,635 can be written as 1.2740876635 × 10¹⁰
1,345,763,334 can be written as 1.345763334 × 10⁹
12,920,370,000 can be written as 1.292037 × 10¹⁰
Comparing the numbers in scientific notation, we can see that 1.292037 × 10¹⁰ is the greatest value.
Therefore, the answer is A. 1.292037 × 10¹⁰.
To compare these numbers using scientific notation, we need to rewrite the numbers in the same format. Let's rewrite each of the numbers in scientific notation:
12,740,876,635 = 1.2740876635×10¹⁰
1,345,763,334 = 1.345763334×10⁹
12,920,370,000 = 1.292037×10¹⁰
Comparing the numbers in scientific notation, the number with the greatest value is 1.292037×10¹⁰. So the correct option is:
A. 1.292037×10¹⁰
To compare these numbers using scientific notation, we need to represent each number in the form of a coefficient multiplied by 10 raised to some exponent.
Let's start with the given numbers:
1. 12,740,876,635
2. 1,345,763,334
3. 12,920,370,000
To convert these numbers to scientific notation, we need to move the decimal point to the left or right to have a coefficient between 1 and 10.
1. 12,740,876,635 can be written as 1.2740876635 × 10¹⁰.
We moved the decimal point 10 places to the left, so the exponent is positive.
2. 1,345,763,334 can be written as 1.345763334 × 10⁹.
We moved the decimal point 9 places to the left, so the exponent is positive.
3. 12,920,370,000 can be written as 1.292037 × 10¹⁰.
We moved the decimal point 10 places to the left, so the exponent is positive.
Now, let's compare the coefficients:
1.2740876635 (A) < 1.292037 (D) < 1.345763334 (C)
From the coefficients, we can see that the largest value among the given numbers is 1.345763334 × 10⁹ (C).
So, the answer is option C.