CHAPTER 1 Whole Numbers Slide 2Copyright 2011 Pearson Education, Inc. 1.1Standard Notation 1.2Addition 1.3Subtraction 1.4Multiplication 1.5Division 1.6Rounding and Estimating; Order 1.7Solving Equations 1.8Applications and Problem Solving 1.9Exponential Notation and Order of Operations

OBJECTIVES 1.6 Rounding and Estimating; Order Slide 3Copyright 2011 Pearson Education, Inc. 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.

EXAMPLE Round to the nearest ten, hundred, or thousand Solution Since 57 is closer to 60, we round up to Rounding and Estimating; Order a ARound 57 to the nearest ten. Slide 4Copyright 2011 Pearson Education, Inc.

EXAMPLE Solution Since 52 is closer to 50, we round down to Rounding and Estimating; Order a Round to the nearest ten, hundred, or thousand. BRound 52 to the nearest ten. Slide 5Copyright 2011 Pearson Education, Inc.

EXAMPLE When a number is halfway between rounding numbers, round up. Solution We agree to round up to Rounding and Estimating; Order a Round to the nearest ten, hundred, or thousand. CRound 55 to the nearest ten. Slide 6Copyright 2011 Pearson Education, Inc.

To round to a certain place: a) Locate the digit in that place. b) Consider the next digit to the right. c) If the digit to the right is 5 or higher, round up. If the digit to the right is 4 or lower, round down. d) Change all digits to the right of the rounding location to zeros. 1.6 Rounding and Estimating; Order a Round to the nearest ten, hundred, or thousand. Slide 7Copyright 2011 Pearson Education, Inc. Rounding Whole Numbers

EXAMPLE Solution a) Locate the digit in the hundreds place, b) Consider the next digit to the right, c) Since that digit is 5 or higher, round 5 hundreds up to 6 hundreds. d) Change all digits to the right of the hundreds digit to zeros Rounding and Estimating; Order a Round to the nearest ten, hundred, or thousand. DRound 7564 to the nearest hundred. Slide 8Copyright 2011 Pearson Education, Inc.

EXAMPLE Solution a) Locate the digit in the tens place, , b) Consider the next digit to the right, , c) Since that digit is 5 or higher, round 9 tens to 10 tens and carry the 1 over to the hundreds. d) Change the digit to the right of the tens digit to zeros. 8 8, Rounding and Estimating; Order a Round to the nearest ten, hundred, or thousand. ERound 88,696 to the nearest ten. Slide 9Copyright 2011 Pearson Education, Inc.

EXAMPLE 1.6 Rounding and Estimating; Order b Estimate sums, differences, products, and quotients by rounding. FMario 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 80 gig and a printer is within their budget. (continued) Slide 10Copyright 2011 Pearson Education, Inc.

EXAMPLE 1.6 Rounding and Estimating; Order b Estimate sums, differences, products, and quotients by rounding. FTable (continued) Slide 11Copyright 2011 Pearson Education, Inc. XS ModelLT Model Basic price: $595Basic price: $825 Monitor: $220Monitor: $275 Memory upgrade: 40 gig: $75 80 gig: $90 Memory upgrade: 80 gig: $110 Printer: $120Printer: included

EXAMPLE Solution XS Model Basic price: $595 Monitor: $220 Memory upgrade: 40 gig: $75 80 gig: $90 Printer: $120 First, we list the base price and then the cost of each option. We then round each number to the nearest hundred and add. XS $595 $600 Monitor $220 $200 Memory $90 $100 Printer+ $120 + $ The price of the computer is within their budget. 1.6 Rounding and Estimating; Order b Estimate sums, differences, products, and quotients by rounding. F Slide 12Copyright 2011 Pearson Education, Inc.

EXAMPLE  Solution  Rounding and Estimating; Order b Estimate sums, differences, products, and quotients by rounding. GEstimate the difference by first rounding to the nearest thousand: Slide 13Copyright 2011 Pearson Education, Inc.

For any whole numbers a and b: 1. a < b (read “a is less than b”) is true when a is to the left of b on a number line. 2. a > b (“read a is greater than b”) is true when a is to the right of b on a number line. We call inequality symbols. 1.6 Rounding and Estimating; Order Order of Whole Numbers Slide 14Copyright 2011 Pearson Education, Inc.

EXAMPLE Since 84 is to the left of 94 on a number line, 84 < 94. Solution 1.6 Rounding and Estimating; Order c Use for □ to write a true sentence in a situation like 6 □ 10. HUse for to write a true sentence: Slide 15Copyright 2011 Pearson Education, Inc.