Answered

  1. In an election, there were 22.77 million registered male voters and 24.47 million registered female voters.

How many voters were there altogether?


  1. In successive years, the crude oil production in Nigeria was 7.580 × 10⁹ and 7.677 × 10⁹ barrels.

How many barrels were produced altogether in those two years?

Give your answer in standard form.


  1. The height of Mount Everest is 8.85 × 10³ m. The height of Mount Kilimanjaro is 5.89 × 10³ m.

Write these heights in ordinary form and find the difference in height between the two mountains.


  1. In 1920, the population of the world was 1.8 billion. By 2000, the world's population...

Verified Answer :

  • Total voters: \(22.77 + 24.47 = \boxed{47.24}\) million.
  • Total oil production: \((7.580 + 7.677) \times 10^9 = \boxed{1.5257 \times 10^{10}}\) barrels.
  • Mountain heights in ordinary form: \(\boxed{8850}\) m and \(\boxed{5890}\) m; difference: \(\boxed{2960}\) m.

Explanation

  1. Total Number of Voters
  2. To find the total number of registered voters, we add the male and female registered voters:

\[22.77 \text{ million} + 24.47 \text{ million} = 47.24 \text{ million}.\]
There were a total of 47.24 million registered voters.

  1. Total Crude Oil Production
  2. To find the total crude oil production, we add the two production values:

\[7.580 \times 10^9 + 7.677 \times 10^9 = (7.580 + 7.677) \times 10^9 = 15.257 \times 10^9.\]
To express this in standard form (\(a \times 10^n\) where \(1 \leq a < 10\)):
\[15.257 \times 10^9 = 1.5257 \times 10^{10}.\]
The total production was \(1.5257 \times 10^{10}\) barrels.

  1. Difference in Mountain Heights
  2. First, convert the heights into ordinary form:

Mount Everest: \(8.85 \times 10^3 \text{ m} = 8850 \text{ m}\).
Mount Kilimanjaro: \(5.89 \times 10^3 \text{ m} = 5890 \text{ m}\).
Next, find the difference in height:
\[8850 \text{ m} - 5890 \text{ m} = 2960 \text{ m}.\]
The difference in height between the two mountains is 2960 m.

Examples

Understanding scientific notation and basic arithmetic is crucial in many professional fields. For instance, in geology or environmental science, you often work with large quantities like millions of liters of water or thousands of meters in elevation. Being able to convert between standard form and ordinary numbers helps researchers compare datasets accurately, visualize physical heights, and communicate large-scale data findings clearly to the public.

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