Scientific Notation-Comparing

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 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 8.15 x 10^6?

Back

8,150,000

Front

Which is larger: 7 x 10^8 or 7.1 x 10^8?

Back

7.1 x 10^8 is larger because the coefficient (7.1) is greater than 7.

Front

How do you compare numbers in scientific notation?

Back

Compare the exponents first. If they are the same, compare the coefficients.

Front

What happens when you multiply a number by 10^n?

Back

The number increases by a factor of 10 for each increase in n.

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

If the exponent is negative, what does it indicate?

Back

It indicates a small number, as it represents division by a power of ten.

Front

Order the following from least to greatest: 6.8 x 10^6, 6 x 10^6, 6.6 x 10^6, 6.1 x 10^6.

Back

6 x 10^6, 6.1 x 10^6, 6.6 x 10^6, 6.8 x 10^6.

Front

What is the value of 10^0?

Back

1, because any number raised to the power of zero is 1.