Question

What can help me study for a test about scientific notation?

Answer 1

Answer:

Scientific Notation Format: Coefficient

First number in a scientific notation.

The numbers range from 1-10.

Can be greater than or equal to 1 and less than 10.

Scientific Notation Format: Base

This is always 10 and comes after the coefficient.

Scientific Notation Format: Exponent

Comes after the base.

Can be negative or positive.

Scientific Notation Format: Example 1

Example: 0.0000000056 In Scientific Notation Form: 5.6 x 10 to the -9 power.

Scientific Notation Format: Example 2

Example: .00000031 in Scientific Notation Form: 3.1 x 10 to the -7 power.

Scientific Notation Format: Non-Example 1

Non Example: .0000000056 is NOT 56 x 10 to the -9 power.

This is not in scientific notation format because the coefficient is over 10.

Scientific Notation Format: Non-Example 2

Non Example: .0000031 is Not 31 x 10 to the -7 power.

This is not in scientific notation format because the coefficient is over 10.

How to Convert: Standard Form pt.1

Convert 2.1 x 10 to the 5 power to standard form:

1. Take 2.1 and count from the decimal point, 5 times to the right

2. Then after each count add a 0.

3. The number should come out to be 210,000

How to Convert: Standard Form pt.2

Convert 9.8 x 10-4 to standard form:

1. Take 9.8 and count from the decimal point, 4 times to the left. ( since the exponent is negative you go to the left)

2. After each count add a 0.

3. The number should be 0.00098.

How to Convert: Scientific Notation pt.1

Convert 50,600,000,000 to scientific notation.

1. Start at the end and count between each 0, until you reach the 5.

2. The number should become 5.06

3. The final product should be 5.06 x 10 to the 12th power.

How to Convert: Scientific Notation pt.2

Convert 0.000000708 to scientific notation.

1. Start at the decimal point, until you reach between 7 and 0.

2.The number should because 7.08

3. The final product should be 7.08 x 10 to the -7th power. The exponent is negative because the number was less than one.

Answer 2

A shorthand method of writing very small and very large numbers is called scientific notation, in which we express numbers in terms of exponents of 10. To write a number in scientific notation, move the decimal point to the right of the first digit in the number. Write the digits as a decimal number between 1 and 10.