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1 1 Place Value and Number Sense Chapter Menu Lesson 1-1Lesson 1-1Place Value Through Hundred Thousands Lesson 1-2Lesson 1-2Place Value Through Millions Lesson 1-3Lesson 1-3Problem-Solving Strategy: The Four-Step Plan Lesson 1-4Lesson 1-4Compare Whole Numbers Lesson 1-5Lesson 1-5Order Whole Numbers Lesson 1-6Lesson 1-6Round Whole Numbers Lesson 1-7Lesson 1-7Problem-Solving Investigation: Choose a Strategy

Lesson 1 Menu Five-Minute Check Main Idea and Vocabulary California Standards Example 1: Identify Value of Digits Example 2: Read and Write Numbers Example 3: Read and Write Numbers 1-1 Place Value Through Hundred Thousands

1-1 Place Value Through Hundred Thousands Lesson 1 MI/Vocab I will read and write whole numbers to hundred thousands. digit place value period standard form word form expanded form

1-1 Place Value Through Hundred Thousands Lesson 1 Standard 1 Standard 4NS1.1 Read and write whole numbers in the millions.

Lesson 1 Ex1 Write the value of the underlined digit in 26,513. Step 1 Write the number in a place-value chart. 1-1 Place Value Through Hundred Thousands 26513

Lesson 1 Ex1 1-1 Place Value Through Hundred Thousands Step 2 Identify the column in which the 6 is located. Circle it.

Lesson 1 Ex1 Step 3 Replace all the digits that are to the right of the 6 with zeros. 1-1 Place Value Through Hundred Thousands Answer: The underlined digit has a value of 6,000. This is because the 6 is in the thousands place.

Lesson 1 CYP1 1-1 Place Value Through Hundred Thousands A.30,000 B.3,000 C.300 D.30 Write the value of the underlined digit in 14,317.

Lesson 1 Ex2 Write 86,012 in word form and expanded form. 1-1 Place Value Through Hundred Thousands Answer: Word form: eighty-six thousand, twelve Expanded form: 80, ,

Lesson 1 CYP2 1-1 Place Value Through Hundred Thousands A.four hundred thirteen thousand, 6 hundred ten; 40, , , B.four hundred thirteen thousand, 6 hundred ten; 400, , , C.four hundred thirteen, 6 hundred ten; 400, , , D.four hundred thirteen, 6 hundred ten; 40, , , Write 413,610 in word form and expanded form.

Lesson 1 Ex3 1-1 Place Value Through Hundred Thousands Write five thousand, four hundred six in standard form and expanded form. Answer: Expanded form: 5, , Standard form: 5,406

Lesson 1 CYP3 1-1 Place Value Through Hundred Thousands Write four thousand, eight hundred twenty-one in standard form and expanded form. A.482,001; 400, , , B.40,821; 40, C.4,801; 4, D.4,821; 4,

End of Lesson 1

Lesson 2 Menu Five-Minute Check (over Lesson 1-1) Main Idea California Standards Example 1: Read and Write Numbers Example 2: Real-World Example 1-2 Place Value Through Millions How Big is One Million?

Lesson 2 MI/Vocab 1-2 Place Value Through Millions I will read and write whole numbers through the millions.

Lesson 2 Standard Place Value Through Millions Standard 4NS1.1 Read and write whole numbers in the millions.

Lesson 2 Ex1 The students at Harvey Elementary School have saved 3,100,750 pennies. Write 3,100,750 in standard form, word form, and expanded form. 1-2 Place Value Through Millions Standard form: 3,100,750 Word form: three million, one hundred thousand, seven hundred fifty Expanded form: 3,000, , Answer:

Lesson 2 CYP1 1-2 Place Value Through Millions A person’s heart that beats 65 beats per minute on average, beats 34,187,400 per year. Write 34,187,400 in standard form, word form, and expanded form. A.Standard form: 34,187,400 Word form: thirty-four million, one hundred eighty-seven thousand, four hundred Expanded form: 30,000, ,000, , , ,

Lesson 2 CYP1 1-2 Place Value Through Millions B.Standard form: 34,187,400 Word form: thirty-four hundred million, one hundred seven thousand and four Expanded form: 300,000, ,000, , , ,

Lesson 2 CYP1 1-2 Place Value Through Millions C.Standard form: 34,187,400 Word form: thirty-four million, one hundred eighty-seven thousand, four hundred Expanded form: 30,000, ,000, , ,

Lesson 2 CYP1 1-2 Place Value Through Millions D.Standard form: 34,187,400 Word form: thirty-four million, one hundred eighty-seven thousand, four hundred Expanded form: 30,000, ,000, , , ,

Lesson 2 CYP1 1-2 Place Value Through Millions Answer: A.Standard form: 34,187,400 Word form: thirty-four million, one hundred eighty-seven thousand, four hundred Expanded form: 30,000, ,000, , , ,

Lesson 2 Ex2 The total area of China is three million, seven hundred five thousand, four hundred seven square miles. Write this number in standard form. This number is written in the place-value chart below. 1-2 Place Value Through Millions Answer: Standard form: 3,705,407

Lesson 2 CYP2 1-2 Place Value Through Millions The population of the state of New York is about nineteen million, two hundred fifty-four thousand, six hundred thirty. Write this number in standard form. A.190,254,630 B.19,254,630 C.1,924,630 D.1,254,630

End of Lesson 2

Lesson 3 Menu Five-Minute Check (over Lesson 1-2) Main Idea California Standards Example 1: Problem-Solving Strategy 1-3 Problem-Solving Strategy: The Four-Step Plan

Lesson 3 MI/Vocab 1-3 Problem-Solving Strategy: The Four-Step Plan I will solve problems using a four-step plan.

Lesson 3 Standard Problem-Solving Strategy: The Four-Step Plan Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Lesson 3 Standard Problem-Solving Strategy: The Four-Step Plan Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.

Lesson 3 Ex1 There are six girls in Dina’s scout troop. They are planning a trip to the local amusement park. Admission for children is $12. What is the total cost of admission for everyone to go? 1-3 Problem-Solving Strategy: The Four-Step Plan

Lesson 3 Ex1 Understand 1-3 Problem-Solving Strategy: The Four-Step Plan What facts do you know? There are six scouts who want to go. The price of admission is $12 for each girl. What do you need to find? The total cost of admission for all the girls.

Lesson 3 Ex1 Plan 1-3 Problem-Solving Strategy: The Four-Step Plan To find the total cost, you can use addition. There are 6 girls, and it will cost $12 each. So, add 12 six times.

Lesson 3 Ex1 Solve 1-3 Problem-Solving Strategy: The Four-Step Plan $12 + $12 + $12 + $12 + $12 + $12 = $72 Answer: So, the troop needs $72 to go to the amusement park. or 6 × $12 = $72

Lesson 3 Ex1 Check 1-3 Problem-Solving Strategy: The Four-Step Plan Look back at the problem. One way to check the answer is to use a drawing. There are 6 × 12 or 72 squares, so the answer is correct.

End of Lesson 3

Lesson 4 Menu Five-Minute Check (over Lesson 1-3) Main Idea and Vocabulary California Standards Example 1: Use a Number Line Example 2: Use Place Value 1-4 Compare Whole Numbers

Lesson 4 MI/Vocab 1-4 Compare Whole Numbers I will compare whole numbers. number line is less than ( ) is equal to ( )is greater than ( )

Lesson 4 Standard Compare Whole Numbers Standard 4NS1.2 Order and compare whole numbers and decimals to two decimal places. Standard 4NS1.1 Read and write numbers in the millions.

Lesson 4 Ex1 A middle school principal earns $97,032 in one year. An elementary school principal earns $94,485 in one year. Who gets paid more? 1-4 Compare Whole Numbers On a number line, numbers to the right are greater than numbers to the left.

Lesson 4 Ex1 1-4 Compare Whole Numbers is to the right of 94,485. So, 97,032 is greater than 94,485. Therefore, 97,032 > 94,485. Answer: So, the middle school principal gets paid more than the elementary principal. 97,032

Lesson 4 CYP1 1-4 Compare Whole Numbers A.secretary B.bus driver C.Both get paid the same. D.Not enough information is given. A secretary earns $32,567 in one year and a bus driver earns $31,622 in one year. Who gets paid more?

Lesson 4 Ex2 Jorge traveled 1,296 miles during his summer vacation. Kai traveled 1,967 miles during her summer vacation. Who traveled more miles? 1-4 Compare Whole Numbers

Lesson 4 Ex2 1-4 Compare Whole Numbers Step 1 Line up the numbers so that the digits in the ones place align. 1,296 1,967

Lesson 4 Ex2 1-4 Compare Whole Numbers Step 2 Begin at the greatest place. Compare the digits. 1,296 1,967 Since 1 = 1, go to the next place.

Lesson 4 Ex2 1-4 Compare Whole Numbers Answer: So, 1,967 is greater than 1,296. Therefore, Kai traveled more miles during her summer trip than Jorge. Step 3 Compare the digits in the next place. 1,296 1,967 9 > 2

Lesson 4 CYP2 1-4 Compare Whole Numbers Maria traveled 2,432 miles over spring break to visit her grandparents. Jamal traveled 2,498 miles to visit his grandparents over spring break. Who traveled more miles? A.Maria B.Jamal C.Both traveled the same amount. D.Not enough information is given.

End of Lesson 4

Lesson 5 Menu Five-Minute Check (over Lesson 1-4) Main Idea California Standards Example 1: Use a Number Line Example 2: Use Place Value 1-5 Order Whole Numbers

Lesson 5 MI/Vocab 1-5 Order Whole Numbers I will order whole numbers through the millions.

Lesson 5 Standard Order Whole Numbers Standard 4NS1.2 Order and compare whole numbers and decimals to two decimal places. Standard 4NS1.1 Read and write numbers in the millions.

Lesson 5 Ex1 Refer to the table. Order the dog breeds from least popular to most popular. 1-5 Order Whole Numbers Graph each number on a number line.

Lesson 5 Ex1 1-5 Order Whole Numbers 42,592 is the farthest to the left, so it is the least popular. 45,868 is between 42,592 and 47, ,238 is the farthest to the right, so it is the most popular. Answer: The order from least popular to most popular is Beagle, German Shepherd, Yorkshire Terrier.

Lesson 5 CYP1 1-5 Order Whole Numbers A.21,465; 21,333; 24,751; 24,899 B.21,333; 21,465; 24,899; 24,751 C.21,465; 21,333; 24,899; 24,751 D.21,333; 21,465; 24,751; 24,899 Order the following numbers from least to greatest. 21,465; 21,333; 24,899; 24,751

Lesson 5 Ex2 The populations of three cities are listed below. Use place value to order the population numbers from least to greatest. 1-5 Order Whole Numbers

Lesson 5 Ex2 1-5 Order Whole Numbers 1,223, ,671 1,463,281 least 1,223,400 1,463,281 greatest Answer: The numbers ordered from least to greatest are 886,671; 1,223,400; and 1,463,281.

Lesson 5 CYP2 1-5 Order Whole Numbers A.1,444,739; 1,498,200; 2,651,866; 2,571,322 B.2,571,322; 2,651,866; 1,444,739; 1,498,200 C.1,444,739; 1,498,200; 2,571,322; 2,651,866 D.2,651,866; 2,571,322; 1,444,739; 1,498,200 Use place value to order the following numbers from least to greatest. 2,651,866; 2,571,322; 1,444,739; 1,498,200

End of Lesson 5

Lesson 6 Menu Five-Minute Check (over Lesson 1-5) Main Idea and Vocabulary California Standards Key Concept: Rounding Whole Numbers Example 1: Round Whole Numbers Example 2: Round Whole Numbers Example 3: Round Whole Numbers 1-6 Round Whole Numbers

Lesson 6 MI/Vocab 1-6 Round Whole Numbers I will round whole numbers through the millions. estimate rounding (or round)

Lesson 6 Standard Round Whole Numbers Standard 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.

Lesson 6 KC1 1-6 Round Whole Numbers

Lesson 6 Ex1 A library has 95,876 books. To the nearest thousand, how many books does the library have? 1-6 Round Whole Numbers On the number line, 95,876 is closer to 96,000 than 95,000. So, round 95,876 to 96,000. Answer: The library has about 96,000 books.

Lesson 6 CYP1 1-6 Round Whole Numbers A.38,200 CDs B.39,000 CDs C.37,000 CDs D.38,000 CDs A local radio station has a collection of 38,245 CDs. To the nearest thousand, how many CDs does the radio station have?

Lesson 6 Ex2 A local radio station claims that it has 571,394 loyal listeners. How many listeners is this rounded to the nearest ten thousand? 1-6 Round Whole Numbers On the number line, 571,394 is closer to 570,000 than 580,000. So, round 571,394 to 570,000. Answer: The radio station has about 570,000 listeners.

Lesson 6 CYP2 1-6 Round Whole Numbers A.900,000 viewers B.950,000 viewers C.940,000 viewers D.948,000 viewers A television show has 947,821 viewers per week. How many viewers is this rounded to the nearest ten thousand?

Lesson 6 Ex3 A wildlife refuge is said to be home to 569,400 birds. Round 569,400 to the nearest thousand. You need to round 569,400 to the nearest thousand. 1-6 Round Whole Numbers 569,400 Step 1 Underline the digit in the place to be rounded. In this case, the 9 in the thousands place needs to be rounded.

Lesson 6 Ex3 1-6 Round Whole Numbers Step 2 Look at the digit to the right of the underlined digit, which is 4. Step 3 Since this digit is less than 5, do not change the underlined digit. 569,400

Lesson 6 Ex3 1-6 Round Whole Numbers Answer: To the nearest thousand, 569,400 is rounded to 569,000. The number line shows that the answer is correct. Check Step 4 Replace all digits after the underlined digit with zeros. 569,000

Lesson 6 CYP3 1-6 Round Whole Numbers A.730,000 B.731,000 C.732,000 D.740,000 Round 731,600 to the nearest thousand.

End of Lesson 6

Lesson 7 Menu Five-Minute Check (over Lesson 1-6) Main Idea California Standards Example 1: Problem-Solving Investigation 1-7 Problem-Solving Investigation: Choose a Strategy

Lesson 7 MI/Vocab 1-7 Problem-Solving Investigation: Choose a Strategy I will choose the best strategy to solve a problem.

Lesson 7 Standard Problem-Solving Investigation: Choose a Strategy Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Lesson 7 Standard Problem-Solving Investigation: Choose a Strategy Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.

Lesson 7 Ex1 1-7 Problem-Solving Investigation: Choose a Strategy TORY: My family is going on vacation to Mexico. Before we go, we have to trade our dollars for Mexican pesos. For every dollar we will get about 11 pesos. YOUR MISSION: Find about how many pesos Tory’s family will get for $8.

Lesson 7 Ex1 1-7 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? You know that one dollar is about 11 pesos. What do you need to find? You will need to find about how many pesos they will get for $8.

Lesson 7 Ex1 1-7 Problem-Solving Investigation: Choose a Strategy Plan For every 1 dollar, they get 11 pesos. Make a table to solve the problem.

Lesson 7 Ex1 1-7 Problem-Solving Investigation: Choose a Strategy Solve There is a pattern of +11. Answer: The family can expect to get about 88 pesos for $8.

Lesson 7 Ex1 1-7 Problem-Solving Investigation: Choose a Strategy Check There is a second pattern in the table. When the digit in the dollar row is changed to pesos, the dollar digit is repeated twice. For example, $5 is 55 pesos. $8 is 88 pesos follows this pattern. So, the answer is correct.

End of Lesson 7

1 1 Place Value and Number Sense 1 1 CR Menu Five-Minute Checks Math Tool Chest Image Bank How Big is One Million?

1 1 Place Value and Number Sense IB Instructions To use the images that are on the following four slides in your own presentation: 1.Exit this presentation. 2.Open a chapter presentation using a full installation of Microsoft ® PowerPoint ® in editing mode and scroll to the Image Bank slides. 3.Select an image, copy it, and paste it into your presentation.

1 1 Place Value and Number Sense IB 1

1 1 Place Value and Number Sense IB 2

1 1 Place Value and Number Sense IB 3

1 1 Place Value and Number Sense IB 4

1 1 Place Value and Number Sense 1 1 5Min Menu Lesson 1-1 Lesson 1-2Lesson 1-2(over Lesson 1-1) Lesson 1-3Lesson 1-3(over Lesson 1-2) Lesson 1-4Lesson 1-4(over Lesson 1-3) Lesson 1-5Lesson 1-5(over Lesson 1-4) Lesson 1-6Lesson 1-6(over Lesson 1-5) Lesson 1-7Lesson 1-7(over Lesson 1-6)

1 1 Place Value and Number Sense 5Min 1-1 A.30 B.3 C.300 D.10 Find the value of 10 × 3.

1 1 Place Value and Number Sense 5Min 1-2 A.130 B.3,000 C.3 D.70 Find the value of 100 – 30.

1 1 Place Value and Number Sense 5Min 1-3 A.64 B.4 C.12 D.20 Find the value of 16 ÷ 4.

1 1 Place Value and Number Sense 5Min 1-4 A.25 B.5 C.150 D.75 Find the value of

1 1 Place Value and Number Sense 5Min 2-1 A.6 B.600 C.60 D.66 Write the value of the underlined digit. 131,166 (over Lesson 1-1)

1 1 Place Value and Number Sense 5Min 2-2 (over Lesson 1-1) A.70,000 B.7,000 C.72 D.7 Write the value of the underlined digit. 72,015

1 1 Place Value and Number Sense 5Min 2-3 (over Lesson 1-1) A.999 B.90,000 C.900,000 D.9 Write the value of the underlined digit. 999,760

1 1 Place Value and Number Sense 5Min 2-4 (over Lesson 1-1) A.2,000 B.2 C.200 D.2,824 Write the value of the underlined digit. 62,824

1 1 Place Value and Number Sense 5Min 3-1 A.five hundred seventy-six; B.five thousand three hundred seventy-six; 5, C.five thousand three seventy-six; 5, D.three thousand five hundred seventy-six; 3, Write 5,376 in two different ways. (over Lesson 1-2)

1 1 Place Value and Number Sense 5Min 3-2 (over Lesson 1-2) A.25,700,089; 25, B.2,789; 2, C.257,809; 25, D.25,789; 20, , Write twenty-five thousand, seven hundred eighty-nine in two different ways.

1 1 Place Value and Number Sense 5Min 3-3 A.230,001; two hundred thirty thousand, one B.2,301; two thousand three hundred one C.230,100; two hundred thirty thousand, one hundred D.500,001; five hundred thousand, one (over Lesson 1-2) Write 200, , in two different ways.

1 1 Place Value and Number Sense 5Min 3-4 A.seven hundred sixty-five thousand, one hundred forty-nine, three hundred seventy-two; 700, , , B.seven hundred sixty-five million, one hundred forty-nine thousand, three hundred seventy- two; 700,000, ,000, ,000, , , , (over Lesson 1-2) Write 765,149,372 in two different ways.

1 1 Place Value and Number Sense 5Min 3-4 C. seven hundred sixty-five billion, one hundred forty-nine thousand, three hundred seventy- two; 765,000,000, , , , D. seven hundred sixty-five thousand, one hundred forty-nine thousand, three hundred seventy-two; 700, , , , , , (over Lesson 1-2)

1 1 Place Value and Number Sense 5Min 3-4 (over Lesson 1-2) Answer: B. seven hundred sixty-five million, one hundred forty-nine thousand, three hundred seventy- two; 700,000, ,000, ,000, , , ,

1 1 Place Value and Number Sense 5Min 4-1 A.12 miles in one hour B.10 miles in one hour C.5 miles in one hour D.25 miles in one hour Solve. Use the four-step plan. A hamster can travel about 5 times as fast as a roach. A roach can go 1 mile in an hour. How far can a hamster travel in one hour? (over Lesson 1-3)

1 1 Place Value and Number Sense 5Min 5-1 A.4,908 < 4,718 B.4,908 > 4,718 C.4,908 = 4,718 D.4,718 > 4,908 (over Lesson 1-4) Compare. Use, or =. 4,908 4,718

1 1 Place Value and Number Sense 5Min 5-2 (over Lesson 1-4) A.16,547 > 62,050 B.62,050 < 16,547 C.16,547 < 62,050 D.16,547 = 62,050 Compare. Use, or =. 16,547 62,050

1 1 Place Value and Number Sense 5Min 5-3 (over Lesson 1-4) A.8,342 = 8,342 B.8,342 > 8,342 C.8,342 < 8,342 D.You can not compare these two numbers. Compare. Use, or =. 8,342

1 1 Place Value and Number Sense 5Min 5-4 (over Lesson 1-4) A.42,610 < 41,619 B.41,619 > 42,610 C.42,610 = 41,619 D.42,610 > 41,619 Compare. Use, or =. 42,610 41,619

1 1 Place Value and Number Sense 5Min 6-1 A.Nile, Mississippi, Amazon B.Amazon, Mississippi, Nile C.Mississippi, Nile, Amazon D.Mississippi, Amazon, Nile The Nile River is about 4,160 miles long. The Mississippi River is about 2,340 miles long. The Amazon River is about 4,000 miles long. Order the rivers from shortest to longest. (over Lesson 1-5)

1 1 Place Value and Number Sense 5Min 7-1 A.4,200 B.4,000 C.5,000 D.3,000 Round 4,236 to the nearest thousand. (over Lesson 1-6)

1 1 Place Value and Number Sense 5Min 7-2 (over Lesson 1-6) A.2,000 B.2,700 C.3,000 D.1,000 Round 2,699 to the nearest thousand.

1 1 Place Value and Number Sense 5Min 7-3 (over Lesson 1-6) A.189,000 B.200,000 C.190,000 D.100,000 Round 189,022 to the nearest hundred thousand.

1 1 Place Value and Number Sense 5Min 7-4 (over Lesson 1-6) A.435,000 B.500,000 C.440,000 D.400,000 Round 435,001 to the nearest hundred thousand.

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