Definition of "base" in Mathematics:
The correct definition of the word "base" in the context of mathematical expressions containing an exponent is:
The base is the number being multiplied by itself a given number of times.
Ordering Simplified Expressions on the Number Line:
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Simplify each expression:
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\(2(6) - 2(4)/2(2)\)
- \(2(6) = 12\)
- \(2(4) = 8\)
- \(2(2) = 4\)
- Therefore, \(12 - 8/4 = 12 - 2 = 10\)
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\(1/4(-2) = -2/4 = -1/2 = -0.5\)
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\((1/2)(-3) = -3/2 = -1.5\)
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\((-2)(-8) \cdot (-2)(11)\)
- The first part: \((-2)(-8) = 16\)
- The second part: \((-2)(11) = -22\)
- So, \(16 \cdot (-22) = -352\)
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List the simplified results:
- \(10\)
- \(-0.5\)
- \(-1.5\)
- \(-352\)
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Order from least to greatest:
- \(-352\)
- \(-1.5\)
- \(-0.5\)
- \(10\)
Final Order:
- \(-352, -1.5, -0.5, 10\)