Question

Which of these signs <. >. = Make 4.3070x10^15 and 4,007,300,000,000,000 true

Answer 1

To determine which sign (<, >, =) makes the statement true for the numbers \( 4.3070 \times 10^{15} \) and \( 4,007,300,000,000,000 \), we can first express both numbers in standard form.

1. The first number is already in scientific notation: \( 4.3070 \times 10^{15} \).

2. The second number can be expressed in scientific notation as:
\[
4,007,300,000,000,000 = 4.0073 \times 10^{15}
\]

Now we compare the two numbers:

- \( 4.3070 \times 10^{15} \)
- \( 4.0073 \times 10^{15} \)

Since both numbers have the same exponent \( 10^{15} \), we just need to compare the coefficients:

- \( 4.3070 \) (first number)
- \( 4.0073 \) (second number)

Since \( 4.3070 > 4.0073 \), we can conclude that:
\[
4.3070 \times 10^{15} > 4,007,300,000,000,000
\]

Therefore, the correct sign to make the statement true is:
\[
4.3070 \times 10^{15} > 4,007,300,000,000,000
\]