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

Front

How do you convert 10,000 to scientific notation?

Back

10,000 = 1.0 x 10^4.

Front

Which of the following is correct scientific notation? 20.35 x 10^4, .2035 x 10^4, 2035^4, 2.035 x 10^4?

Back

2.035 x 10^4 is correct scientific notation.

Front

How would you write 564,000,000 in scientific notation?

Back

564,000,000 = 5.64 x 10^8.

Front

How many zeros are in the number 6.47 x 10^11 when written in standard form?

Back

There are 11 zeros in 6.47 x 10^11.

Front

If the exponent in scientific notation is positive, what does it indicate about the number?

Back

It indicates that the number is large.

Front

What is the value of 10^3?

Back

10^3 = 1,000.

Front

Convert 0.00056 to scientific notation.

Back

0.00056 = 5.6 x 10^-4.

Front

What is the purpose of using scientific notation?

Back

To simplify the representation of very large or very small numbers for easier calculation and comparison.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).