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)

Question

Responses

1.345763334×109
1.345763334 times 10 superscript 9 baseline

12,920,370,000
12,920,370,000

1.2740876635×1010
1.2740876635 times 10 superscript 10 baseline

1.292037×1010

Answer 1

To compare the numbers using scientific notation, we will convert each number to scientific notation:

1. 12,740,876,635

   • In scientific notation: \( 1.2740876635 \times 10^{10} \)

2. 1,345,763,334

   • In scientific notation: \( 1.345763334 \times 10^{9} \)

3. 12,920,370,000

   • In scientific notation: \( 1.292037 \times 10^{10} \)

Now, we can compare these values:

• \( 1.345763334 \times 10^{9} \) (is in \( \times 10^{9} \))
• \( 1.2740876635 \times 10^{10} \)
• \( 1.292037 \times 10^{10} \)

To make comparisons easier, we can express \( 1.345763334 \times 10^{9} \) in the same powers of ten as the other numbers:

• \( 1.345763334 \times 10^{9} = 0.1345763334 \times 10^{10} \)

Now we can compare:

• \( 0.1345763334 \times 10^{10} \)
• \( 1.2740876635 \times 10^{10} \)
• \( 1.292037 \times 10^{10} \)

Comparing the coefficients:

• \( 0.1345763334 < 1.2740876635 < 1.292037 \)

Thus, the number with the greatest value is 12,920,370,000, which is the same as \( 1.292037 \times 10^{10} \).