LESSON 1.2 MULTIPLYING AND DIVIDING DECIMALS

LECTURE NOTES

MULTIPLYING AND DIVIDING NUMBERS AND DECIMALS

Vocabulary: When you multiply two numbers the first is known as the Multiplicand and the second is the Multiplier. The result of multiplying the Multiplicand and the Multiplier is known as the Product. The Multiplicand and Multiplier can also be referred to as the factors of the product.  Example in the expression 3.2 *1.2 =3.84, 3.2 is the Multiplicand and 1.2 is the multiplier. These two numbers are the factors of the result 3.84 which is the product.

Strategy for Multiplying Whole Numbers and Decimals

  1. Write the multiplicand and the multiplier vertically (top down). It is normally more efficient to write the number with more digits on the top and the other on the bottom.
  2. Ignore the decimals and multiply as you would whole numbers
  3. Multiply the rightmost digit of the multiplier with the digits of the multiplicand from right to left.
  4. Align the result (partial product) in the same column as the multiplier digit. If greater than 9 carry over to the next digit of the multiplicand. Add the partial products downwards to get the product.
  5. The total number of digits behind the decimal point of the Multiplicand and the Multiplier tells you where you place the decimal point. 

REVIEW TUTORIAL

 ACCUPLACER ARITHMETIC PREP COURSE LESSONS

  1. Lesson 1.1 Operations on Whole and Decimals Numbers Adding and Subtracting
  2. Lesson 1.2 Multiplying Decimals and Whole Numbers 
  3. Lesson 2.1  Basics of Fractions, Classifying, Reducing, & Converting to Decimals

ACCUPLACER INTERACTIVE PRACTICE TEST
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COMPLETE PLACER ARITHMETIC PREP COURSE LINKS

  1. Lesson 1.1 Operations on Whole and Decimals Numbers Adding and Subtracting
  2. Lesosn 1.2 Multiplying Decimals and Whole Numbers 
  3. Lesson 2.1  Basics of Fractions, Classifying, Reducing, & Converting to Decimals

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Arithmetic Section

According to the college board  The Arithmetic algebra "test measures your ability to perform basic arithmetic operations and to solve problems that involve fundamental arithmetic concepts. There are 17 questions on the Arithmetic tests, divided into three types.
• Operations with whole numbers and fractions: Topics included in this category are addition, subtraction, multiplication, division, recognizing equivalent fractions and mixed numbers, and estimating.
• Operations with decimals and percents: Topics include addition, subtraction, multiplication, and division with decimals. Percent problems, recognition of decimals, fraction and percent equivalencies, and problems involving estimation are also given.
• Applications and problem solving: Topics include rate, percent, and measurement problems; simple geometry problems; and distribution of a quantity into its fractional parts." -Source collegeboard.com