Scientific Notation Test

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 add numbers in scientific notation?

Back

Align the exponents. If the exponents are different, adjust one number to match the exponent of the other. Then, add the coefficients and keep the common exponent.

Front

How do you subtract numbers in scientific notation?

Back

Align the exponents. If the exponents are different, adjust one number to match the exponent of the other. Then, subtract the coefficients and keep the common exponent.

Front

What is the rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).

Front

What is the rule for dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the correct scientific notation for 20350?

Back

2.035 x 10^4.

Front

What is the correct scientific notation for 0.000345?

Back

3.45 x 10^-4.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point to create a number between 1 and 10, then count the number of places moved. If moved left, the exponent is positive; if moved right, it's negative.

Front

What is the scientific notation for 6.02 x 10^23?

Back

This is already in scientific notation, representing Avogadro's number.

Front

What is the result of (5 x 10^8) - (3.4 x 10^8)?

Back

1.6 x 10^8.