5. Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25 * 10 ^ 4 - 8 meters wide

Question

1 point

by 2.5 * 10 ^ 5 - 6 meters long. Use scientific notation to write the dimensions in millimeters.

1.25 * 10 ^ 4 - 10 by 2.5 * 10 ^ 4 - 8 millimeters

1.25 * 10 ^ x - 11 by 2.5 * 10 ^ 2 - 9 millimeters

1.25 * 10 deg - 6 by 2.5 * 10 ^ 5 - 4 millimeters

1.25 * 10 ^ 2 - 5 by 2.5 * 10 ^ n - 3 millimeters

Answer 1

The correct answer is:

1.25 * 10^4 - 8 meters is equal to 1.25 * 10^7 - 3 millimeters.
2.5 * 10^5 - 6 meters is equal to 2.5 * 10^8 - 3 millimeters.

So the dimensions in millimeters are 1.25 * 10^7 - 3 by 2.5 * 10^8 - 3 millimeters.

Answer 2

7. Subtract 4.66 * 10 ^ s - 5 - 7.34 * 10 ^ x - 7 *

- 4.5866 * 10 ^ 0.5

2.68 * 10 ^ 4 * 2

4.5866 * 10 ^ - 5

- 2/68 * 10 ^ 2

Answer 3

To subtract these numbers in scientific notation, we need to make sure the exponents are the same. Let's simplify each term separately:

4.66 * 10^s - 5 - 7.34 * 10^x - 7 - 4.5866 * 10^0.5 - 2.68 * 10^4 * 2 - 4.5866 * 10^-5 - 2/68 * 10^2

First, let's deal with the exponents:
1. 10^s - 5 has an exponent of -5.
2. 10^x - 7 has an exponent of -7.
3. 10^0.5 can also be written as the square root of 10, which is approximately 3.1623, so it has an exponent of 0.5.
4. 2.68 * 10^4 times 2 is 5.36 * 10^4, which has an exponent of 4.
5. 10^-5 is the same as 1 divided by 10^5, which has an exponent of -5.
6. 2/68 * 10^2 is the same as 1/34 * 10^2, which simplifies to 0.02941 * 10^2, or 2.941 * 10^0, which has an exponent of 0.

Now let's subtract:

4.66 * 10^-5 - 7.34 * 10^-7 - 4.5866 * 10^0.5 - 5.36 * 10^4 - 4.5866 * 10^-5 - 2.941 * 10^0

Since we have the same exponents, we can simply subtract the coefficients:

4.66 - 7.34 - 4.5866 - 5.36 - 4.5866 - 2.941

Adding everything together, the result is approximately -19.399.

Therefore, the subtracted expression simplifies to:

-19.399 * 10^0