Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. It is written in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

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

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10. If you move left, the exponent is positive; if right, it's negative.

Front

What is the smallest number among these in scientific notation: 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, 8.4 x 10^19?

Back

8.4 x 10^19 is the smallest.

Front

Convert 0.004078 to scientific notation.

Back

4.078 x 10^-3.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents of the powers of ten.

Front

Solve: (6 x 10^6) / (2 x 10^3)

Back

3 x 10^3.

Front

Which of the following is correctly written in scientific notation: 8.2 x 10^2, 82 x 10^7, 3.45 x 9^4?

Back

8.2 x 10^2 is correctly written.

Front

What is the result of (9.6 x 10^-8) ÷ (2 x 10^-15)?

Back

4.8 x 10^7.

Front

What is the general form of a number in scientific notation?

Back

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

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents of the powers of ten.