Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you compare two numbers in scientific notation?

Back

Convert both numbers to the same power of ten, then compare the coefficients (the 'a' values).

Front

What is the highest value among these numbers: 2.35 x 10^5, 9.78 x 10^3, 5.01 x 10^4, 1.101 x 10^6?

Back

1.101 x 10^6

Front

Convert 7.652 x 10^5 to standard form.

Back

765,200

Front

What is the correct scientific notation for 352,300,000?

Back

3.523 x 10^8

Front

Fill in the blank: 6.34 x 10^5 _ 7.12 x 10^4

Back

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Front

Which of the following is in order from least to greatest: 1, 1000, 5^2; 3 x 10^2, 4 x 10^3, 5 x 10^2; 7 x 10^4, 3 x 10^5, 5 x 10^7; 1 x 10^7, 2 x 10^6, 3 x 10^5?

Back

7 x 10^4, 3 x 10^5, 5 x 10^7

Front

What is the value of 5.0 x 10^3 in standard form?

Back

5,000

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).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).