How can the number 43 billion, 740 million be expressed in scientific notation?

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To express the number 43 billion, 740 million in scientific notation, it is essential to convert it to a format where we represent the number as a product of a number between 1 and 10 and a power of 10.

First, we convert 43 billion and 740 million into a single numerical value:

  • 43 billion is represented as 43,000,000,000

  • 740 million is represented as 740,000,000

When you add these two values together, you get:

43,000,000,000 + 740,000,000 = 43,740,000,000

Next, to convert 43,740,000,000 into scientific notation, we need to move the decimal point in such a way that the leading number is between 1 and 10. In this case, we can express it as:

4.374 x 10^10

This conversion involves moving the decimal point 10 places to the left, which is why the exponent is 10 in this situation. Thus, the correct expression of the number 43 billion, 740 million in scientific notation is 4.374 x 10^10.

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