More Lessons for Arithmetic

Math Worksheets

Very large or very small numbers are usually written in

*A* × 10* ^{n}* where and

* Example: *

2 350 000 = 2.35 × 10^{6}

0.000 875 4 = 8.754 × 10^{–4}

To convert a number into scientific notation:

** Method 1 **

Rewrite the number as a product of a number *A* such that and a power of 10.

* Example: *

64 000 = 6.4 × 10 000

= 6.4 × 10

^{4}

** Method 2 **

** Step 1** : Shift the decimal point of the number *A* to the left or to the right until

**Step 2 **: Count the number of places that the decimal point has moved. The count would be the index *n.* If the decimal point was moved to the left then *n* is positive. If the decimal point was moved to the right then *n* is negative.

*Example: *

* Example: *

Write each of the following numbers in scientific notation:

a) 734 000 b) 0.00685

* Solution: *

a) 734 000 = 7.34 × 10 000 = 7.34 × 10 5

or

b) 0.00685 = 6.85 × = 6.85 × 10 -3

or

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