Textbook Question
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4t-2+8t-4
Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
Chapter 1, Problem 118
Multiply or divide as indicated. 785.91 * 10
Verified step by step guidance1
Identify the operation to be performed: multiplication of 785.91 by 10.
Recall that multiplying a number by 10 shifts the decimal point one place to the right.
Apply this rule to 785.91 by moving the decimal point one place to the right.
Rewrite the number after shifting the decimal point to get the product.
Express the final answer as the product of 785.91 and 10 without performing the actual multiplication.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Real Numbers
Multiplication involves combining two numbers to get a product. When multiplying decimals, multiply as if they were whole numbers, then place the decimal point in the product according to the total number of decimal places in the factors.
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Introduction to Complex Numbers
Multiplying by Powers of Ten
Multiplying a number by 10 shifts the decimal point one place to the right, effectively increasing the number's value tenfold. This rule simplifies calculations involving powers of ten without performing full multiplication.
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Decimal Place Value
Understanding decimal place value helps in correctly positioning the decimal point after multiplication. Each digit's place represents a power of ten, so moving the decimal changes the number's magnitude accordingly.
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Related Practice
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Multiply or divide as indicated. 57.116 × 100
Textbook Question
Answer each question. If the lengths of the sides of a cube are tripled, by what factor will the volume change?
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Textbook Question
Perform the indicated operations. Assume all variables represent positive real numbers. 4√3(√7 - 2√11)
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