On many scientific calculators, you can enter numbers in scientific notation by using a function labeled “ee” or “EE”. Usually, the letter “E” takes the place of “x10”. So, the number 4.1 x 10⁹ would appear as 4.1E9 on the calculator.
Example 1 :
Simplify the expression given below using calculator and write your answer in scientific notation.
(4 x 105) + (0.1 x 107)
Solution :
Step 1 :
Find 4 x 105 + 0.1 x 107.
Enter 4E5 + 0.1E7 on your calculator.
Step 2 :
Write the results from your calculator : 1.4E6.
Write this number in scientific notation :
4 x 105) + (0.1 x 107) = 1.4 x 106
Example 2 :
Multiply using calculator and write your answer in scientific notation.
(3.2 x 105) x (26.7 x 103)
Solution :
Step 1 :
Find (3.2 x 105) x (26.7 x 103).
Enter 3.2E5 x 26.7E3 on your calculator.
Step 2 :
Write the results from your calculator : 8.544E9.
Write this number in scientific notation :
(3.2 x 105) x (26.7 x 103) = 8.544 x 109
Example 3 :
The table shows the approximate areas for three continents given in square meters. What is the total area of these three continents ? Write the answer in scientific notation using more appropriate units.
Solution :
Step 1 :
Find 4.4 x 1013 + 3.02 x 1013 + 1.04 x 1013.
Enter 4.4E13 + 3.02E13 + 1.04E13 on your calculator.
Step 2 :
Write the results from your calculator : 8.46E13.
Write this number in scientific notation :
8.46 x 1013 square meter
Step 3 :
Since square kilometers is more appropriate, lets convert square meters into square kilometers.
Write this number in scientific notation :
Because 1 km = 1,000 m, we have
1 km2 = 10002 m2
1 km2 = 106 m2
So, to convert square meters into square kilometers, we have to divide by 106.
8.46 x 1013 m2 = (8.46 x 1013 / 106) km2
8.46 x 1013 m2 = 8.46 x 107 km2
Hence, the total area of these three continents is
8.46 x 107 square kilometers
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