Scientific Notation with Positive Powers of Ten

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 number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

What is the standard form of 4.3756 x 10^4?

Back

43,756

Front

What is 10,000 in scientific notation?

Back

10^4

Front

Which of the following is correct scientific notation: 20.35 x 10^4 or 2.035 x 10^4?

Back

2.035 x 10^4 is correct because the coefficient is between 1 and 10.

Front

How do you write 6,700 in scientific notation?

Back

6.7 x 10^3

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means to move to the right.

Front

What is the scientific notation for 0.00056?

Back

5.6 x 10^-4

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2 x 10^3) * (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

What is the scientific notation for 1,200,000?

Back

1.2 x 10^6