Model Place Value Relationships - Joellacgood

Lesson 1.1ReteachNameModel Place Value RelationshipsA hundred grid can help you understand place-value relationships. One small square has been shaded to represent 1. S hade the rest of the first column. Count the number ofsmall squares. There are 10 small squares. The model for10 has 10 times as many squares as the model for 1 . S hade the remaining 9 columns. Count the number ofsmall squares. There are 100 small squares. The model for100 has 10 times as many squares as the model for 10. I f you shade ten hundred grids, you will have shaded1,000 squares. So, the model for 1,000 has 10 timesas many squares as the model for 100.A place-value chart helps you find the value of each digit in a es8516In the number 8,516:The value of the digit 8 is 8 thousands, or 8,000.The value of the digit 5 is 5 hundreds, or 500 .10 .The value of the digit 6 is 6 ones, or 6 .The value of the digit 1 is 1 ten, orFind the value of the underlined digit.1.7562.1,0253.4,2794.35,703800Compare the values of the underlined digits.5.700 and 70Thevalue of 7 intimes the value of 7 inReteach Houghton Mifflin Harcourt Publishing Company6.is5,000 and 500The.value of 5 intimes the value of 5 inR1is.Grade 4

Lesson 1.2ReteachNameRead and Write NumbersLook at the digit 6 in the place-value chart below. It is in the hundredthousands place. So, its value is 6 hundred thousands .In word form, the value of this digit is six hundred thousands.In standard form, the value of the digit 6 is sTensOnes659,058Read the number shown in the place-value chart.In word form, this number is written as six hundredfifty-nine thousand, fifty-eight.You can also write the number in expanded form:600,000 1 50,000 1 9,000 1 50 1 8Note that whenwriting a numberin words, a commaseparates periods.Read and write each number in two other forms.1.40,000 1 1,000 1 300 1 70 1 82.twenty-one thousand, four hundred3.391,032Reteach Houghton Mifflin Harcourt Publishing CompanyR2Grade 4

Lesson 1.3ReteachNameCompare and Order NumbersCompare 31,072 and 34,318. Write ,, ., or 5.Step 1 Align the numbers by place value using grid paper.Step 2 C ompare the digits in each place value. Start at thegreatest place.Are the digits in the ten thousands place the same?Yes. Move to the thousands place.Are the digits in the thousands place the same?No. 1 thousand is less than 4 thousands.start here331 0 74 3 128333 31 0 74 3 1281 4Step 3 Use the symbols ,, ., or 5 to compare the numbers., means is less than. means is greater than.5 means is equal to.There are two ways to write the comparison.31,072 , 34,318   or1.34,318 . 31,072Use the grid paper to compare 21,409 and 20,891.Write ,, ., or 5.21,40920,891Compare. Write ,, ., or 5.2. 53,621 53,7603.82,55080,7115.561,028; 582,073; 549,006Order from greatest to least.4.16,451; 16,250; 17,014Reteach Houghton Mifflin Harcourt Publishing CompanyR3Grade 4

Lesson 1.4ReteachNameRound NumbersWhen you round a number, you replace it with a number that iseasier to work with but not as exact. You can round numbers todifferent place values.Round 478,456 to the place value of the underlined digit.Step 1 Identify the underlined digit.The underlined digit, 4, is in the hundred thousands place.Step 2 Look at the number to the right of the underlined digit. If that number is 0– 4, the underlined digit stays the same. If that number is 5–9, the underlined digit is increased by 1. The number to the right of the underlined digit is 7 , so theunderlined digit, 4, will be increased by one; 4 1 1 5 5 .Step 3 Change all the digits to the right of thehundred thousands place to zeros.So, 478,456 rounded to the nearest hundred thousand is 500,000 .1.In 2010, the population of North Dakota was 672,591 people.Use the number line to round this number to the nearesthundred thousand.600,000672,591650,000700,000thanis closer to,.so it rounds toRound to the place value of the underlined digit.2.3,4523.1804. h Houghton Mifflin Harcourt Publishing CompanyR4Grade 4

Lesson 1.5ReteachNameRename NumbersYou can use place value to rename whole numbers.Here are different ways to name the number 1,400. As thousands and hundreds Think: 1,400 5 1 thousand 4 hundreds.You can draw a quick picture to help.T As hundreds Think: 1,400 5 14 hundreds.You can draw a quick picture to help. As tensThink: 1,400 5 140 tens. A s onesThink: 1,400 5 1,400 ones.Rename the number. Draw a quick picture to help.1.180 5tens3.6,000 55.2 hundreds 6 tens 5Reteach Houghton Mifflin Harcourt Publishing CompanythousandstensR52.1,600 54.2,700 5 276.71 thousands 5hundredsGrade 4

Lesson 1.6ReteachNameAdd Whole NumbersFind the sum. 63,821 1 34,765 13,4,8,875OnStep 3 S tart with the ones place.Add from right to left.Regroup as needed.639TensHThoundreus a dndsTho Tenus andsThous andsHundredsStep 2 U se a place-value chartto line up the digits byplace value.esStep 1 R ound each addend to estimate.60,000 1 30,000 5 90,000268156The sum is 98,586 . Since 98,586 is closeto the estimate 90,000, the answer is reasonable.Estimate. Then find the sum.1.Find 238,503 341,978. Use the grid to help.Estimate:2.Estimate:3.52,8511 65,6015.Estimate:147,0261 106,792Reteach Houghton Mifflin Harcourt Publishing CompanyEstimate:4.54,9801 24,6116.Estimate:278,3091 mate:540,7211 375,899Grade 4

Lesson 1.7ReteachNameSubtract Whole NumbersFind the difference. 5,128 2 3,956Estimate first.Think: 5,128 is close to 5,000. 3,956 is close to 4,000.So, an estimate is 5,000 2 4,000 5 1,000.Write the problem vertically. Use grid paper to align digits by place value.Step 1 S ubtractthe ones.Step 2 S ubtractthe tens.826525, 1 2 82 3, 9 5 620 12There are not enough tens to subtract.Regroup 1 hundred as 10 tens.12 tens 2 5 tens 5 7 tens5, 1 2 83,9 5 627 210Step 3 S ubtract thehundreds.Step 4 S ubtract thethousands.4 0 125, 1 2 83,9 5 621 7 245,2 3,1There are not enough hundreds tosubtract. Regroup 1 thousand as10 hundreds.10 hundreds 2 9 hundreds 5 1 hundred100 124 thousands 2 3 thousands 51 thousand1 2 89 5 61 7 21,172 . Since 1,172 is closeThe difference isto the estimate of 1,000, the answer is reasonable.Estimate. Then find the difference.1.Estimate:6,2532 3,718Reteach Houghton Mifflin Harcourt Publishing Company2.Estimate:74,5292 38,453R73.Estimate:232,3182 126,705Grade 4

Lesson 1.8ReteachNameProblem Solving Comparison Problemswith Addition and SubtractionFor a community recycling project, a school collects aluminum cansand plastic containers. This year the fourth grade collected 5,923 cansand 4,182 containers. This is 410 more cans and 24 more containersthan the fourth grade collected last year. How many cans did thefourth grade collect last year?Read the ProblemWhat do I need to find?What information do Ineed to use?I need to find the number ofThe fourth grade studentsI can draw a bar modelcollected 5,923 cans this to find the number of cansyear.the fourth grade collectedlast year.They collected 410more cans this year thanthe fourth grade collectedlast year.cans the fourth gradecollected last year.How will I use theinformation?Solve the ProblemI can draw a bar model and write an equation to represent the problem.5,9234105,5135,923 2 410 55,513So, the fourth grade collected5,513aluminum cans last year.Use the information above for 1 and 2.1.Altogether, how many aluminum cans2.and plastic containers did the fourthgrade collect this year?Reteach Houghton Mifflin Harcourt Publishing CompanyThis year the fifth grade collected216 fewer plastic containers than thefourth grade. How many plastic containersdid the fifth grade collect?R8Grade 4

May 01, 2020 · Find the value of the underlined digit. 1. 756 2. 1,025 3. 4,279 4. 35,703 Compare the values of the underlined digits. 5. 700 and 70 The value of 7 in is times the value of 7 in . 6. 5,000 and 500 The value of 5 in is times the value of 5 in . Model Place Value Relationships A hundred grid can help you understand