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Name:________________________________________________ Grade 6 Math Homework Helper Decimals Go Math Chapter 1 Adding and Subtracting Decimals When adding and subtracting decimals, line up decimal points Dividing Decimals Multiplying Decimals Do not line up decimals. The decimal is placed in the product. Find the total decimal places in the factors. Place the decimal point in the product so that the product has the same number of decimal places. (right to left) Examples: There cannot be a decimal in the divisor. Move the decimal to the right to make a whole number. Do the same to the dividend. Fractions Go Math Chapter 2 Converting Improper Fractions to Mixed Numbers Divide the numerator by the denominator. The quotient will be the whole number, the remainder is the numerator, and the divisor is the denominator. Adding Fractions You must have a common denominator. Add the numerators only. Simplify if necessary. Converting Mixed Numbers to Improper Fractions Multiply the denominator by the whole number. Then add that product to the numerator. This sum is the new numerator. Use the same denominator. Subtracting Fractions You must have a common denominator. Subtract the numerators only. Simplify if necessary. Sometimes, you need to regroup in order to subtract one fraction from another. Multiplying Fractions You do not need a common denominator. Multiply across. Simplify if necessary. Dividing Fractions Change the problem to multiplication. Flip the 2nd fraction (multiply by the reciprocal). Then multiply across and simplify if necessary. Converting Percents, Decimals, and Fractions Go Math Chapter 5 Percent to Decimal Decimal to Percent Option 1 - Take off the percent symbol Option 1 - Move the decimal 2 places to and move the decimal 2 places to the left. the right and place a percent sign. Option 2 – make the decimal a fraction over 100 and divide the numerator by the denominator. Percent to Fraction Option 2 - Multiply by 100. Write the percent as a fraction out of 100. Divide the numerator by the denominator. Fraction to Percent Fraction to Decimal Examples: Change the fraction to a decimal. (Divide the numerator by the denominator.) Then follow the rule (above) for converting from decimal to percent. Finding the Percent of a Number Go Math Chapter 5 Finding the Part When Given the Whole Finding the Whole When Given the Part X = % value Whole 100 Part = % value X 100 Conversions Go Math Chapter 6 Standard conversions Use your conversion sheet to convert feet to yards, pounds to tons, cups to quarts etc. Metric Conversions Use the metric chart. Move the decimal left or right according to the chart. Solving Equations Go Math Chapter 7 Solving Addition Equations Isolate the variable by undoing the addition. Do the inverse operation to both sides of the equation. Solving Multiplication Equations Isolate the variable by undoing the multiplication. Do the inverse operation to both sides of the equation. Solving Subtraction Equations Isolate the variable by undoing the subtraction. Do the inverse operation to both sides of the equation. Solving Multiplication Equations Isolate the variable by undoing the division. Do the inverse operation to both sides of the equation.