Scientific Notation and Operations 8th Grade

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 large number to scientific notation?

Back

Move the decimal point to the left 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

How do you convert a small number to scientific notation?

Back

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal. The exponent of 10 will be negative, indicating how many places the decimal was moved.

Front

What is the scientific notation for 564,000,000?

Back

5.64 x 10^8

Front

What is the scientific notation for 0.0005?

Back

5 x 10^-4

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same. If they are not, adjust one of the numbers. Then, add the coefficients and keep the exponent.

Front

What is the result of (3.4 x 10^5) + (1.2 x 10^4)?

Back

3.52 x 10^5

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

What is the result of (1.4 x 10^5)(2 x 10^7)?

Back

2.8 x 10^12

Front

How do you convert scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power of the exponent.