Scientific Notation and Operations in 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 number into scientific notation?

Back

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

Front

What is the general form of scientific notation?

Back

a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

What is the area of a rectangle with length 10,000 meters and width 4.8 × 10^3 meters?

Back

4.8 x 10^7 square meters.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

Calculate (2.1×10^2) × (3.0×10^4).

Back

6.3 x 10^6.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

Calculate (3.8 x 10^4) ÷ (2 x 10^3).

Back

1.9 x 10^1.

Front

What is the result of (3.8 x 10^4) - (2 x 10^3)?

Back

3.6 x 10^4.

Front

What is the correct scientific notation for the number 20350?

Back

2.035 x 10^4.