Converting Scientific and Standard 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 the format a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

What is standard notation?

Back

The usual way of writing numbers without exponents, using digits and place value.

Front

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

Back

Move the decimal point in the number until only one non-zero digit remains to the left of the decimal point, then count the number of places moved to determine the exponent.

Front

What is the correct scientific notation for 450,000?

Back

4.5 × 10^5.

Front

Convert 0.000398 to scientific notation.

Back

3.98 × 10^-4.

Front

Convert 0.004078 to scientific notation.

Back

4.078 × 10^-3.

Front

Convert 0.000457 to scientific notation.

Back

4.57 × 10^-4.

Front

Which of the following is NOT a correct scientific notation? 20.35 x 10^4, .2035 x 10^4, 2035^4, 2.035 x 10^4.

Back

2035^4 is not correct scientific notation.

Front

What is the exponent in the scientific notation 3.98 × 10^-4?

Back

The exponent is -4.

Front

How do you express 39,800 in scientific notation?

Back

3.98 × 10^4.