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Answer 1

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Answer 2

At the end of fiscal year 2004, the federal debt of Country C is $278,560,125,000. What is the closest estimation of this amount? Express your answer in the form of a single digit times an integer power of 10.(1 point) Responses 3 × 10 − 11 3 times 10 superscript negative 11 baseline 2.79 × 10 11 2.79 times 10 superscript 11 baseline 2 × 10 11 2 times 10 superscript 11 baseline 3 × 10 11

Answer 3

To express the amount \( 278,560,125,000 \) in scientific notation, we need to find a single digit in the first position that is followed by the appropriate power of ten.

The number in scientific notation will be expressed as \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

For the number \( 278,560,125,000 \):

1. We can break it down as follows:
   • \( 278,560,125,000 = 2.78560125 \times 10^{11} \).

However, when approximating, we're looking for a convenient way to express this value closer to a single digit.

2. Rounding \( 2.78560125 \) gives us approximately \( 2.79 \).

Thus, the best approximation from the provided options is:

2.79 × 10¹¹.

So the answer is:

2.79 × 10¹¹.

Answer 4

How many times less is 10^2 than 10^6 ? Express your answer as an integer power of 10.(1 point) Responses 10,000 10,000 10 − 4 10 superscript negative 4 baseline 0.0001 0.0001 10 4

Answer 5

To find how many times less \( 10^2 \) is than \( 10^6 \), you can divide \( 10^6 \) by \( 10^2 \):

\[ \frac{10^6}{10^2} = 10^{6-2} = 10^4. \]

This means \( 10^2 \) is \( 10^4 \) times less than \( 10^6 \).

So the answer is:

\( 10^4 \).

Answer 6

Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of 𝑎 × 10 𝑛 where 1 < 𝑎 < 10 and is a one-digit number.(1 point) Responses 3 × 10 − 9 3 times 10 superscript negative 9 baseline 3 × 10 8 3 times 10 superscript 8 baseline 3 × 10 9 3 times 10 superscript 9 baseline 3 × 10 − 8

Answer 7

To express \( 0.000000003 \) in the form \( a \times 10^n \) where \( 1 < a < 10 \), we can rewrite the number in scientific notation.

First, let's convert \( 0.000000003 \) to scientific notation:

1. Find \( a \): We move the decimal point to the right until we have a number between 1 and 10. For \( 0.000000003 \), we move the decimal point 9 places to the right, yielding \( 3 \).
2. Count how many places we moved the decimal: Since we moved it 9 places to the right, this gives us a negative exponent.

Thus, we have:

\[ 0.000000003 = 3 \times 10^{-9}. \]

So the answer is:

\( 3 \times 10^{-9} \).

Answer 8

Is the 9 negative

Answer 9

Yes, the exponent is indeed negative because we moved the decimal point from \(0.000000003\) to \(3\), which requires moving it 9 places to the right.

In scientific notation, when you move the decimal point to the right to convert a smaller number into the form \(a \times 10^n\) where \(1 < a < 10\), the exponent \(n\) is negative.

Thus, \(0.000000003\) is correctly expressed as \(3 \times 10^{-9}\).

So, yes, the 9 is negative.

Answer 10

Ok thank you goodbye that is all

Answer 11

You're welcome! If you have any more questions in the future, feel free to ask. Goodbye, and have a great day!