8th grade

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10.

Front

How do you convert a standard number to scientific notation?

Back

To convert a standard number to scientific notation, you move the decimal point to create a number between 1 and 10, and then count how many places you moved the decimal to determine the exponent of 10.

Front

What is the value of 7.2 x 10^7 in standard form?

Back

The value of 7.2 x 10^7 in standard form is 72,000,000.

Front

What is the simplified form of (2^4)^7 using the laws of exponents?

Back

The simplified form of (2^4)^7 is 2^(4*7) = 2^28.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 169 is a perfect square because it is 13 x 13.

Front

How do you determine if a number is a perfect square?

Back

To determine if a number is a perfect square, find the square root of the number. If the square root is an integer, then the number is a perfect square.

Front

What are the integers between which the number 13.5 lies?

Back

The number 13.5 lies between the integers 13 and 14.

Front

What is the exponent rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the exponent rule for dividing powers with the same base?

Back

When dividing powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is the value of 6.267 x 10^6 in standard form?

Back

The value of 6.267 x 10^6 in standard form is 6,267,000.