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Section 1.6 Rounding and Estimation aRound to the nearest ten, hundred, or thousand. bEstimate sums, differences, products, and quotients by rounding. cUse for □ to write a true sentence in a situation like 6 □ 10. Section 1.61
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Example Section 1.62 Round 57 to the nearest ten. Solution Since 57 is closer to 60, we round up to 60. 50605557
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Another Example: Section 1.63 Round 52 to the nearest ten. Solution Since 52 is closer to 50, we round down to 50. 0 55 52 50
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Another Example Section 1.64 Round 55 to the nearest ten. Solution We agree to round up to 60. 506055
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Rounding Whole Numbers Section 1.65 a.To round to a certain place: b.Locate the digit in that place. c.Consider the next digit to the right. d.If the digit to the right is 5 or higher, round up. If the digit to the right is 4 or lower, round down. e.Change all digits to the right of the rounding location to zeros.
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Examples Section 1.66 Round 7564 to the nearest hundred. Solution: Round 88,696 to the nearest ten. Solution:
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Application Example Section 1.67 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. XS ModelLT Model Basic price: $595Basic price: $825 Monitor: $220Monitor: $275 Memory upgrade: 500 gig: $75 750 gig: $90 Memory upgrade: 750 gig: $110 Printer: $120Printer: included
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Inequality Symbols < means “is less than” > means “is greater than” = means “is not equal to” Section 1.68 Example: Two inequality signs are missing, do you know what they are?
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Section 1.7 Solving Equations Section 1.79 A solution of 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.
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Examples Section 1.610 a)b) c)d)
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