About Scientific Notation:
When we have really large or really small numbers, we generally use scientific notation. This type of notation is simply a compact way to display a number. In order to place a number in scientific notation, we revisit some properties of multiplication with 10.
Test Objectives
- Demonstrate an understanding of multiplication/division by 10
- Demonstrate the ability to write a number in scientific notation
- Demonstrate the ability to perform operations with numbers in scientific notation
#1:
Instructions: Write each number in scientific notation.
a) $$972{,}000{,}000$$
b) $$0.0000162$$
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#2:
Instructions: Write each number in scientific notation.
a) $$5{,}331{,}000{,}000{,}000{,}000$$
b) $$0.000000001050137$$
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#3:
Instructions: Write without exponents.
a) $$4.78 \, × \, 10^{5}$$
b) $$1.951 \, × \, 10^{-10}$$
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#4:
Instructions: Write without exponents.
a) $$3.18 \, × \, 10^{0}$$
b) $$6.28 \, × \, 10^{-4}$$
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#5:
Instructions: Write without exponents.
a) $$(12 × 10^{-4})(8 × 10^{4})$$
b) $$\frac{2.05 \, × \, 10^9}{1.6 \, × \, 10^{-2}}$$
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Written Solutions:
#1:
Solutions:
a) $$9.72 \, × \, 10^{8}$$
b) $$1.62 \, × \, 10^{-5}$$
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#2:
Solutions:
a) $$5.331 \, × \, 10^{15}$$
b) $$1.050137 \, × \, 10^{-9}$$
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#3:
Solutions:
a) $$478{,}000$$
b) $$0.0000000001951$$
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#4:
Solutions:
a) $$3.18$$
b) $$0.000628$$
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#5:
Solutions:
a) $$96$$
b) $$128{,}125{,}000{,}000$$
