Scientific Notation

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 convert a large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the positive exponent of 10.

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

What is the scientific notation for 0.0000378?

Back

3.78 x 10^-5

Front

How do you compare two numbers in scientific notation?

Back

Compare the exponents first; the number with the larger exponent is greater. If exponents are equal, compare the coefficients.

Front

Fill in the blank: 6.34 x 10^5 _ 7.12 x 10^4

Back

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Front

Convert 0.004078 to scientific notation.

Back

4.078 x 10^-3

Front

What is the scientific notation for 450,000?

Back

4.5 x 10^5

Front

What does the exponent in scientific notation represent?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

Convert 0.0005 to scientific notation.

Back

5.0 x 10^-4