This lesson is about six carefully chosen scientific notation word problems along with their solutions.

**Example #1:**

Jupiter is the largest planet in our solar system and its mass in scientific notation is about 1.9 × 10^{27}. Write the mass in standard notation.

**Solution:**

**1.9 × 10 ^{27} = **1.9 × 10 × 10

The mass of Jupiter in standard notation is 1900000000000000000000000000

**Example #2:**

It is predicted that the world population in 2025 may reach eight billion. Write eight billion in scientific notation.

**Solution:**

Eight billion = 8000000000 = 8 × 10^{9}

**Example #3:**

The oxygen atom has a mass of about 0.00000000000000000000000003 kg. Write the mass of the oxygen atom in scientific notation.

**Solution:**

0.00000000000000000000000003 = 3 × 10^{-26} kg

**Example #4:**

The following masses which are parts of an atom are measured in grams. Order the parts of an atom from greatest to least mass.

electron: 9.1096 × 10^{-28}, neutron: 1.6749 × 10^{-24}, proton: 1.6726 × 10^{-24}

**Solution:**

The smallest mass is since 9.1096 × 10^{-28 }since -28 will create more zeros after the decimal point.

1.6749 × 10^{-24 }and 1.6726 × 10^{-24} have the same exponent. So we just need to compare 1.6749 to 1.6726.

Since 1.6726 is smaller than 1.6749, 1.6726 × 10^{-24 } is smaller than 1.6749 × 10^{-24}

From greatest to least mass, we get: 1.6749 × 10^{-24} > 1.6726 × 10^{-24} > 9.1096 × 10^{-28 }

**Example #5:**

The weight of an adult male elephant is about 5600 kg. What is the weight in scientific notation?

**Solution:**In scientific notation the weight of an adult male elephant is 5.6 × 10

**Example #6:**

A computer can perform about 5 × 10^{8} instructions per second. How many instructions is that per hour? Express the answer in scientific notation.

**Solution:**

1 hour is equal to 3600 seconds. Therefore, we need to multiply 5 × 10^{8} by 3600

**3600 × 5 × 10 ^{8}** = 36 × 10

**3600 × 5 × 10 ^{8 }**= 36 × 5 × 10

**3600 × 5 × 10 ^{8 }**= 180 × 10

**3600 × 5 × 10 ^{8 }**= 1.80 × 10

**3600 × 5 × 10 ^{8 }**= 1.8 × 10

The computer can perform about 1.8 × 10^{12} instructions per hour