Wk 5: Adding Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10.

Front

What is the range of the first number in scientific notation?

Back

The first number in scientific notation must be greater than 1 and less than 10.

Front

How do you add numbers in scientific notation?

Back

To add numbers in scientific notation, you must first ensure that the exponents of 10 are the same. If they are not, convert one of the numbers so that they match, then add the coefficients.

Front

What is the standard form of 4.56 x 10⁵?

Back

The standard form of 4.56 x 10⁵ is 456,000.

Front

What is the correct scientific notation for the number 20350?

Back

The correct scientific notation for 20350 is 2.035 x 10⁴.

Front

What is the result of (3.6 x 10⁻²) + (4.0 x 10⁻¹)?

Back

The result is 4.36 x 10⁻¹.

Front

What does the exponent in scientific notation represent?

Back

The exponent in scientific notation indicates how many places to move the decimal point. A positive exponent means to move the decimal to the right, while a negative exponent means to move it to the left.

Front

How do you convert a number from scientific notation to standard form?

Back

To convert from scientific notation to standard form, multiply the coefficient by 10 raised to the power of the exponent.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient in scientific notation must be a number between 1 and 10, which helps to standardize the representation of numbers.

Front

Can scientific notation be used for both very large and very small numbers?

Back

Yes, scientific notation is used for both very large numbers (e.g., 1.0 x 10⁶) and very small numbers (e.g., 1.0 x 10⁻⁶).