Scientific Notation

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 typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Tags

CCSS.8.EE.A.3

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 the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal point; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

Front

Convert 0.0005 to scientific notation.

Back

0.0005 can be written as 5 x 10^-4 in scientific notation.

Front

What is the largest number among the following: 1.3 x 10^12, 2.5 x 10^11, 4.0 x 10^10?

Back

1.3 x 10^12 is the largest number.

Tags

CCSS.8.EE.A.3

Front

Identify which of the following is in scientific notation: 8.98 x 10^6, 1000, 0.0001.

Back

8.98 x 10^6 is in scientific notation.

Tags

CCSS.8.EE.A.3

Front

How do you determine the smallest number in scientific notation?

Back

To determine the smallest number in scientific notation, compare the exponents first. The number with the smallest exponent is the smallest. If the exponents are the same, compare the coefficients.

Tags

CCSS.8.EE.A.3

Front

Convert -5.6 x 10^-3 to standard form.

Back

-5.6 x 10^-3 in standard form is -0.0056.

Front

What is the standard form of 3.2 x 10^5?

Back

The standard form of 3.2 x 10^5 is 320000.

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.

Tags

CCSS.1.NBT.B.3

Front

What is the significance of the exponent in scientific notation?

Back

The exponent in scientific notation indicates the power of 10 by which the coefficient is multiplied, determining the scale of the number.

Tags

CCSS.8.EE.A.3