Decimals
Decimals
Adding and Subtracting Decimals
| Add: 28.5 + 44.47 + 3075.6 |
|
Subtract: 380.53 - 75 |
 |
Step 1: Line up the decimal points. Step
2: Then add or subtract.
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Multiplying Decimals
Multiply 1.89 x 5.03 =
Step 1: Multiply the decimals as you would do
with whole
Step 2: Then count the number of spaces of
each factor being multiplied. Decimal places are the number of
spaces to the right of the decimal point, There is 2 in the top
factor and two in the bottom factor, so the decimal is placed 4
spaces from the right.
Step 3: Show the total number of places in
your answer.

Dividing a Decimal by a Whole Number
Example:

Place the decimal point directly above its position in the
problem. Then divide the same way as you divide whole numbers.
Dividing a Decimal by a Decimal Number
Example: 4.374 .03 =
Move the decimal point of the divisor (outside the bracket) as
far right as you can go. Then move the decimal point in the
dividend (inside the bracket) the same number of places as the
divisor.

Place the decimal point directly above its position in the
problem. Then divide the same way as divide whole numbers.

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simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values) |
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finding LCM and GCF |
 |
operations with complex numbers (simplifying, rationalizing complex denominators...) |
 |
solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations) |
 |
solving a system of two and three linear equations (including Cramer's rule) |
 |
graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions) |
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graphing general functions |
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operations with functions (composition, inverse, range, domain...) |
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simplifying logarithms |
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arithmetic and other pre-algebra topics (ratios, proportions, measurements...) |
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