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Learn how to round whole numbers to the nearest ten, hundred, and more with practical examples and applications. Develop your skills in estimation to make quick and accurate calculations. Understand inequality symbols and solving equations for balanced equations.
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Section 1.6 Rounding and Estimation Section 1.6
Example • Round 57 to the nearest ten. • Solution • Since 57 is closer to 60, we round up to 60. 50 55 57 60 Section 1.6
Another Example: • Round 52 to the nearest ten. • Solution • Since 52 is closer to 50, we round down to 50. 50 55 52 0 Section 1.6
Another Example • Round 55 to the nearest ten. • Solution • We agree to round up to 60. 60 50 55 Section 1.6
Rounding Whole Numbers • To round to a certain place: • Locate the digit in that place. • Consider the next digit to the right. • If the digit to the right is 5 or higher, round up. If the digit to the right is 4 or lower, round down. • Change all digits to the right of the rounding location to zeros. Section 1.6
Examples Round 7564 to the nearest hundred. Solution: Round 88,696 to the nearest ten. Solution: Section 1.6
Application Example • Mario and Greta are considering buying a new computer. There are two models, and each has options beyond the basic price, as shown below. Mario and Greta have a budget of $1100. Make a quick estimate to determine if the XS with a monitor, memory upgrade to 750 gig and a printer is within their budget. Section 1.6
Inequality Symbols • < means “is less than” • > means “is greater than” • = means “is not equal to” Example: Example: Example: Two inequality signs are missing, do you know what they are? Section 1.6
Section 1.7 Solving Equations • A solutionof an equation is a replacement for the variable that makes the equation true. When we find the replacement, we can say the equation is “solved.” • An equation is like a teeter totter. We can perform all kinds of mathematical operations just as long as we keep things balanced. Section 1.7
Examples a) b) c) d) Section 1.6