**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.

**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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