# Algebra questions convert

**Question description**

- Convert from decimal notation to scientific notation.

a) 234

b) 0.000052

c) -220,000

d) -0.00000000000000182 - Convert from scientific to decimal notation.

a) 1.01 × 10^{ 2}

b) 8.2 × 10^{ -6}

c) 3.456 × 10^{ 10}

d) -1.2 × 10^{ -8} - Perform the multiplication and write the result in
scientific notation.

a) (5 × 10^{ 2})(7 × 10^{ 5})

b) (1.2 × 10^{ -6})(3.5 × 10^{ 14})

c) (-4.5 × 10^{ -7})(8.62 × 10^{ 10})

d) (-7.2 × 10^{ -6})(0.00039) - Perform the division and write the result in scientific
notation.

a) (4 × 10^{ 13}) / (5 × 10^{ -4})

b) 0.000012 / (2.4 × 10^{ -8})

c) (-1.2 × 10^{ -6}) / (1.5 × 10^{ -10})

d) 0.00000065 / 0.000013 - Evaluate and express in scientific notation.

a) (1.3 × 10^{ -6})^{ 2}

b) (1.5 × 10^{ -8})^{ 2}(2.1 × 10^{ 5})

c) [ (1.144 × 10^{ 2})(6 × 10^{ 7}) ] / (2.2 × 10^{ 4})

d) [ (0.00001)(2,500) ] / [ (0.0003)(150,000) ] - Evaluate in scientific notation.

a) The diameter of an atom: 0.0000000000001 meter

b) diameter of earth = 12,756,000 meters

c) 1 billion: 1000,0000,000

d) 1 micron: 0.000001 meter

e) 1 trillion: 1000,000,000,000

f) Diameter of earth / diameter of atom

g) Speed of light: 300,000,000 m/sec

h) Distance travelled by light in one year.

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