2.01 Scientific notation
State whether the following are written in scientific notation:
704.73 \times 10^{14}
4.73 \times 10^{14}
0.374 \times 10^{4}
263.45 \times 10^{10}
Complete the following equations:
10^{5} is equal to:
1 million
10 thousand
10 million
100 thousand
Which is smaller: 10^{5} or 10^{7}?
Which is larger: 780 \times 10^{ - 1 } or 7.8 \times 10^{2}?
For each of the following sets of numbers:
State the largest number.
State the smallest number.
5 \times 10^{ - 8 }
4 \times 10^{5}
8 \times 10^{ - 7 }
3 \times 10^{8}
4.8 \times 10^{7}
8.6 \times 10^{7}
2.65 \times 10^{7}
4.61 \times 10^{1}
1.19 \times 10^{1}
1.19 \times 10^{ - 6 }
3.36 \times 10^{3}
3.36 \times 10^{ - 3 }
3.36 \times 10^{5}
7.72 \times 10^{ - 5 }
6.33 \times 10^{ - 5 }
5 \times 10^{ - 5 }
1.99 \times 10^{ - 6 }
8.99 \times 10^{ - 6 }
8.99 \times 10^{ - 3 }
Consider the following numbers:
4.5 \times 10^{ - 4 }, \quad 45 \times 10^{ - 4 }, \quad 4.5 \times 10^{ - 6 }, \quad 0.45 \times 10^{ - 3 }, \quad 4.5 \times 10^{ - 3 }, \quad 45 \times 10^{ - 5 }Which numbers are equivalent to 0.000\,45?
From your answers in part (a), which one is in scientific notation?
Express the following numbers in scientific notation:
0.07
440\,000
267\,150\,000\,000
5.21
0.764
0.000\,316
581\,000
7 \div 10^{2}
\dfrac{1}{10\,000}
Express the following numbers as decimal numbers:
6 \times 10^{ - 4 }
6 \times 10^{7}
7 \times 10^{ - 3 }
2.49 \times 10^{0}
3.66 \times 10^{ - 6 }
7.91 \times 10^{6}
8.36 \times 10^{ - 1 }
The distance between two stars is approximately 9 \times 10^{7} meters. Express this distance as a whole number.
The thickness of coating on a camera lens is 0.000\,001 \text{ m}. Express the thickness in scientific notation.
The world's oceans hold approximately 188\,000\,000\,000\,000\,000\,000 gallons of water. Express this volume of water in scientific notation.