SCIENTIFIC NOTATION ON A CALCULATOR
About "Scientific notation on a calculator"
Scientific notation on a calculator :
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.
Scientific notation on a calculator - Examples
Example 1 :
Simplify the expression given below using calculator and write your answer in scientific notation.
(4x10⁵) + (0.1x10⁷)
Solution :
Step 1 :
Find 4x10⁵ + 0.1x10⁷
Enter 4E5 + 0.1E7 on your calculator.
Step 2 :
Write the results from your calculator : 1.4E6.
Write this number in scientific notation :
(4x10⁵) + (0.1x10⁷) = 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 × 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 × 10¹³ m² = (8.46 × 10¹³ / 10⁶) km²
8.46 × 10¹³ m² = 8.46 × 10⁷ km²
Hence, the total area of these three continents is
8.46 × 10⁷ square kilometers
After having gone through the stuff given above, we hope that the students would have understood how to use calculator to write a number in scientific notation.
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