QuestionConvert 15.55 trillion to scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number to be expressed in scientific notation is15.55 trillion. . In the context of this problem, trillion is defined as $10^{12}$ .

STEP 2

To express a number in scientific notation, it must be written as a number between1 and10 (including1 but excluding10) multiplied by a power of10.

STEP 3

First, we write15.55 trillion as a number multiplied by $10^{12}$ .
$15.55\, trillion =15.55 \times10^{12}$

STEP 4

Next, we need to adjust this so that the number before the multiplication sign is between1 and10. To do this, we can move the decimal point two places to the left, which is equivalent to dividing by100 or multiplying by $10^{-2}$ .
$15.55 \times10^{12} =1.555 \times100 \times10^{12} =1.555 \times10^{2} \times10^{12}$

STEP 5

Now, we can combine the powers of10 by adding the exponents.
$1.555 \times10^{2} \times10^{12} =1.555 \times10^{2+12}$

STEP 6

Calculate the sum of the exponents.
$1.555 \times10^{2+12} =1.555 \times10^{14}$ So,15.55 trillion expressed in scientific notation is $1.555 \times10^{14}$ .

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