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प्रश्न
Large numbers can be expressed in the standard form by using positive exponents.
पर्याय
True
False
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उत्तर
This statement is True.
Explanation:
E.g. 2360000 = 236 × 10 × 10 × 10 × 10
= 236 × 104
= 2.36 × 104 × 102
= 2.36 × 106
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संबंधित प्रश्न
Express the given numbers in standard form.
0.0000000000085
Write the following numbers in the usual form:
4.83 × 107
Write the following numbers in the usual form:
1.0001 × 109
Write 0.000005678 in the standard form.
A sugar factory has annual sales of 3 billion 720 million kilograms of sugar. Express this number in the standard form.
At the end of the 20th century, the world population was approximately 6.1 × 109 people. Express this population in usual form. How would you say this number in words?
About 230 billion litres of water flows through a river each day. How many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.
A half-life is the amount of time that it takes for a radioactive substance to decay to one half of its original quantity.
Suppose radioactive decay causes 300 grams of a substance to decrease to 300 × 2–3 grams after 3 half-lives. Evaluate 300 × 2–3 to determine how many grams of the substance are left.
Explain why the expression 300 × 2–n can be used to find the amount of the substance that remains after n half-lives.
Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. After how many half-lives will the fraction be `1/243` of the original?
The given table shows the crop production of a State in the year 2008 and 2009. Observe the table given below and answer the given questions.
| Crop | 2008 Harvest (Hectare) |
Increase/Decrease (Hectare) in 2009 |
| Bajra | 1.4 × 103 | – 100 |
| Jowar | 1.7 × 106 | – 440,000 |
| Rice | 3.7 × 103 | – 100 |
| Wheat | 5.1 × 105 | + 190,000 |
- For which crop(s) did the production decrease?
- Write the production of all the crops in 2009 in their standard form.
- Assuming the same decrease in rice production each year as in 2009, how many acres will be harvested in 2015? Write in standard form.
