Scientific Notation and Significant Figures

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you determine the number of significant figures in a number?

Back

Count all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.

Front

What is the significance of significant figures in calculations?

Back

They indicate the precision of a measurement and ensure that calculations reflect the accuracy of the data.

Front

Convert 0.000008 to scientific notation.

Back

8 x 10^-6

Front

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

Back

Multiply the coefficient by 10 raised to the power indicated.

Front

What is the rule for addition and subtraction regarding significant figures?

Back

The result should be reported to the least number of decimal places of any number in the operation.

Front

What is the rule for multiplication and division regarding significant figures?

Back

The result should have the same number of significant figures as the measurement with the least significant figures.

Front

Write 4.3756 x 10^4 in standard form.

Back

43,756

Front

Calculate 1.23 m x 0.89 m and give your answer with the appropriate number of significant figures.

Back

1.1 m²

Front

Write 0.0000378 in scientific notation.

Back

3.78 x 10^-5