Math

QuestionFor a country with a national debt of 15.55 trillion, express it in scientific notation: 1.555×10131.555 \times 10^{13}. Also, express \$70,000 in scientific notation.

Studdy Solution

STEP 1

Assumptions1. The national debt is15.55 trillion. Four years of tuition, fees, and room and board at a public U.S. college cost approximately $70,000

STEP 2

To express a number in scientific notation, we need to write it as a product of a number between1 and10 and a power of10.

STEP 3

For part (a), we need to express15.55 trillion in scientific notation. We know that1 trillion equals 101210^{12}, so15.55 trillion equals 15.55×101215.55 \times10^{12}.

STEP 4

Now, to make the number before the multiplication symbol between1 and10, we divide15.55 by10 to get1.555 and increase the power of10 by1. This gives us 1.555×10131.555 \times10^{13}.

STEP 5

For part (b), we need to express 70,000inscientificnotation.Weknowthat70,000equals70,000 in scientific notation. We know that70,000 equals 7 \times10^{4}$.
The solutions area. 1.555×10131.555 \times10^{13} b. 7×1047 \times10^{4}

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