Question

Place numbers in order as they would appear on the number line:

a) -98, -10, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
b) -918%, -98, -10, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 8.7 x 10^0
c) -918%, -98, -10, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
d) -918%, -10, -98, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 8.7 x 10^0

Answer 1

To express numbers in scientific notation, move the decimal point so there's one non-zero digit to its left, count the places moved to determine the power of 10, then rewrite the number as a product of this new number and 10 raised to the determined power.

Step-by-step explanation:

Expressing Numbers in Scientific Notation

Scientific notation is a way of expressing large or small numbers in a format that is easier to read and work with. To write a number in scientific notation:

1. Place the decimal point so that there is one non-zero digit to the left of the decimal point.
2. Count the number of places the decimal point has moved from the original number. This will determine the power of 10.
3. If the decimal is moved to the left, the power is positive. If the decimal is moved to the right, the power is negative.
4. The original number is then rewritten as a product of this number and 10 raised to the power of the number of places the decimal was moved.

For example, converting numbers to proper scientific notation would involve the following adjustments:

• 8,099 × 107 would be written as 8.099 × 109.
• 34.5 × 100 is already in scientific notation because the coefficient is between 1 and 10.
• 0.000332 × 104 would be written as 3.32 × 10-2.