**Problem 1 : **

Simplify the expression given below using calculator and write your answer in scientific notation.

(4 x 10^{5}) + (0.1 x 10^{7})

**Problem 2 :**

Multiply using calculator and write your answer in scientific notation.

(3.2 x 10^{5}) x (26.7 x 10^{3})

**Problem 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.

**Problem 1 : **

Simplify the expression given below using calculator and write your answer in scientific notation.

(4 x 10^{5}) + (0.1 x 10^{7})

**Solution : **

**Step 1 : **

Find 4 x 10^{5} + 0.1 x 10^{7}.

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 10^{5}) + (0.1 x 10^{7}) = 1.4 x 10^{6}

**Problem 2 :**

Multiply using calculator and write your answer in scientific notation.

(3.2 x 10^{5}) x (26.7 x 10^{3})

**Solution :**

**Step 1 :**

Find (3.2 x 10^{5}) x (26.7 x 10^{3}).

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 10^{5}) x (26.7 x 10^{3}) = 8.544 x 10^{9}

**Problem 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 10^{13} + 3.02 x 10^{13} + 1.04 x 10^{13}.

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 10^{13} 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 km^{2} = 1000^{2} m^{2}

1 km^{2} = 10^{6} m^{2}

So, to convert square meters into square kilometers, we have to divide by 10^{6}.

8.46 x 10^{13 }m^{2} = (8.46 x 10^{13} / 10^{6}) km^{2}

8.46 x 10^{13 }m^{2} = 8.46 x 10^{7} km^{2}

Hence, the total area of these three continents is

8.46 x 10^{7} square kilometers

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