Textbook Question
The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x2-y2. On the right, (x-y)2 = x2-2xy+y2.
Use special products to evaluate each expression. 712
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Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
Chapter 1, Problem 116
Multiply or divide as indicated. 44.4788÷5.27
Verified step by step guidance1
Identify the operation: The problem requires division of two numbers, specifically dividing 44.4788 by 5.27.
Set up the division expression as a fraction: \(\frac{44.4788}{5.27}\).
To simplify the division, eliminate the decimal in the divisor by multiplying both numerator and denominator by 100 (since 5.27 has two decimal places). This gives \(\frac{44.4788 \times 100}{5.27 \times 100} = \frac{4447.88}{527}\).
Now, perform the division of 4447.88 by 527 using long division or a calculator to find the quotient.
Express the quotient as the final answer, which represents the result of the original division problem.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Division of Decimals
Dividing decimals involves adjusting the divisor to a whole number by multiplying both the divisor and dividend by the same power of 10. This simplifies the division process, allowing you to perform standard long division on whole numbers.
Recommended video:
10:18
Example 1
Place Value and Decimal Point Movement
Understanding place value is crucial when moving decimal points. Multiplying or dividing by powers of 10 shifts the decimal point to the right or left, respectively, which helps in converting decimals to whole numbers for easier calculation.
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4:47The Number e
Long Division Method
Long division is a step-by-step process used to divide numbers, including decimals once adjusted. It involves dividing, multiplying, subtracting, and bringing down digits sequentially until the division is complete or reaches the desired decimal precision.
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04:03Choosing a Method to Solve Quadratics
Related Practice
Textbook Question
Identify the property illustrated in each statement. Assume all variables represent real numbers. (7.5-y)+0=7.5-y
Textbook Question
Calculate each value mentally. (203/2)/(53/2)
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Textbook Question
The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x2-y2. On the right, (x-y)2 = x2-2xy+y2.
Use special products to evaluate each expression. 1022
1
views
Textbook Question
Identify the property illustrated in each statement. Assume all variables represent real numbers. (t-6)∙(1/t-6)=1, if t-6 ≠ 0
Textbook Question
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k-1+k-2