Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, typically in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a small decimal number to scientific notation?

Back

Move the decimal point to the right until you have a number between 1 and 10. The exponent will be negative, indicating how many places you moved the decimal.

Front

Convert 0.000972 to scientific notation.

Back

9.72 × 10^-4

Front

What does the exponent in scientific notation indicate?

Back

It indicates how many places the decimal point has been moved. A positive exponent means the number is large, while a negative exponent means the number is small.

Front

Which of the following is the largest number: 9 × 10^6, 8 × 10^10, 1.3 × 10^12, 5.3 × 10^3?

Back

1.3 × 10^12

Front

What is the coefficient in scientific notation?

Back

The coefficient is the number in front of the power of 10, which must be between 1 and 9.9.

Front

Which statement is NOT true about scientific notation?

Back

It doesn't always contain x10.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2.8 × 10^2) × (3.9 × 10^4) = (2.8 × 3.9) × 10^(2+4).

Front

Solve: (2.8 × 10^2) × (3.9 × 10^4)

Back

1.092 × 10^7

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers, making them easier to read and work with.