Grade 8 Module 1

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 decimal number to scientific notation?

Back

To convert a decimal number to scientific notation, move the decimal point to create a new number between 1 and 10, and count the number of places the decimal point has moved. This count becomes the exponent of 10.

Front

What is the standard form of a number?

Back

The standard form of a number is its usual way of writing it, using digits. For example, 9 million is written as 9,000,000.

Front

How do you compare two numbers in scientific notation?

Back

To compare two numbers in scientific notation, first compare the exponents. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients.

Front

What is the process for multiplying numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents of the powers of 10.

Front

What is the scientific notation for 0.0002?

Back

The scientific notation for 0.0002 is 2 x 10^-4.

Front

How do you write a large number in scientific notation?

Back

To write a large number in scientific notation, identify the first non-zero digit, place the decimal after it, and count how many places you moved the decimal to the left. This count becomes the positive exponent of 10.

Front

What is the scientific notation for 234,500,000,000?

Back

The scientific notation for 234,500,000,000 is 2.345 x 10^11.

Front

What is the result of (3.4 × 10^4)(2.5 × 10^15) in scientific notation?

Back

The result of (3.4 × 10^4)(2.5 × 10^15) is 8.5 × 10^19.

Front

What does the exponent in scientific notation indicate?

Back

The exponent in scientific notation indicates how many places to move the decimal point. A positive exponent means to move the decimal to the right, while a negative exponent means to move it to the left.