Assignment – Real Numbers, Day 6: Scientific Notation (Grade 8)

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 number 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 multiply by 10 raised to the number of places the decimal was moved.

Front

Convert 41,804,000 to scientific notation.

Back

4.1804 x 10^7

Front

What is standard form?

Back

The usual way of writing numbers without exponents, as opposed to scientific notation.

Front

Convert 2.4 x 10^5 to standard form.

Back

240,000

Front

How do you compare negative numbers?

Back

The number further to the left on the number line is smaller.

Front

List the following numbers from greatest to least: -2√5, -14/5, -√8, -2.75.

Back

-2.75, -√8, -14/5, -2√5

Front

Convert 7.53 x 10^{-10} to standard notation.

Back

0.000000000753 kg

Front

What is the shortest wavelength of visible light (violet) in scientific notation?

Back

4 x 10^{-7} meters

Front

How do you express very small numbers in scientific notation?

Back

Use a negative exponent to indicate how many places the decimal point is moved to the right.