my homework lesson 1 place value through millions

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McGraw Hill My Math Grade 5 Chapter 1 Lesson 1 Answer Key Place Value Through Millions

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 1 Lesson 1 Place Value Through Millions will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 1 Lesson 1 Place Value Through Millions

Example 1 The distance from the Earth to the Sun is 92,955,793 miles. Use the place-value chart to list the value of each digit.

A digit in one place, or place value, represents 10 times as much as it represents in the place to its right and \(\frac{1}{10}\) of what it represents in the place to its left.

The standard form of a number is the usual or common way to write a number using digits. The expanded form of a number is a way of writing a number as the sum of the values of its digits. The places with zero as a digit are not included in the expanded form.

Example 2 The human eye blinks an average of 5,500,000 times a year. Write 5,500,000 in word form and expanded form.

Question 2. Write the number in word form. five ___, five ___ thousand Answer: The above-given number: 5,500,000 – On beginning with the first digit that is 5. It is present in the place of a million – five million – The next comma to the right side is thousands – five hundred thousand 5,500,000 in word format is five million five hundred thousand.

Question 3. Write the number in expanded form. five million: 5 × 1,000,000 five hundred thousand: 5 × 100,000 In expanded form, 5,500,000 = ______ × ____ + _____ × ____ Answer: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. 5,500,000 5 x 1,000,000 = 5,000,000 5 x 1,00,000 = 5,00,000 0 x 10,000 = 0 The expanded notation is 5,000,000 + 5,00,000

Guided Practice

Write the value of the underlined digit.

Independent Practice

Write each number in word form and expanded form.

Question 7. 5,901,452 ____________ Answer: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. 5 x 1,000,000 = 5,000,000 9 x 1,00,000 = 9,00,000 0 x 10,000 = 0 1 x 1,000 = 1,000 4 x 100 = 400 5 x 10 = 50 2 x 1 = 2 The expand notation is 5,000,000 + 9,00,000 + 0 + 1,000 + 400 + 50 + 2

Question 8. 309,099,990 __________ Answer: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. 3 x 100,000,000 = 300,000,000 0 x 10,000,000 = 0 9 x 1,000,000 = 9,000,000 0 x 1,00,000 = 0 9 x 10,000 = 90,000 9 x 1,000 = 9,000 9 x 100 = 900 9 x 10  = 90 0 x 1 = 0 The expanded notation is 300,000,000 + 0 + 9,000,000 + 0 + 90,000 + 9,000 + 900 + 90 + 0

Write each number in standard form and expanded form.

Question 9. eighty-three million, twenty-three thousand, seven _______________________ Answer: The equivalent number to the above-given word form is: 83,023,007 The standard form of a number: The standard form of a number is introduced to avoid the difficulty of reading large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10. The standard form is 8.3023007 x 10^7 The expanded form: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. The number is 83,023,007 8 x 10,000,000 = 80,000,000 3 x 1,000,000 = 3,000,000 0 1,000,00 = 0 2 x 10,000 = 20,000 3 x 1,000 = 3,000 0 x 100 = 0 0 x 10 = 0 7 x 1 = 7 The expanded notaion is 80,000,000 + 3,000,000 + 0 + 20,000 +3,000 + 0 + 0 + 7

Question 10. three hundred four million, eight hundred thousand, four hundred _______________________ Answer: The equivalent number for the above-given word form is 304,800,400 The standard form of a number: The standard form of a number is introduced to avoid the difficulty of reading large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10. The standard form is 3.048004 x 10^8 The expanded form: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. The number is 304,800,400 3 x 100,000,000 = 300,000,000 0 x 10,000,000 = 0 4 x 1,000,000 = 4,000,000 8 x 1,00,000 = 8,00,000 0 x 10,000 = 0 0 x 1,000 = 0 4 x 100 = 400 0 x 10 = 0 0 x 1 = 0 The expanded notation is 300,000,000 + 0 + 4,000,000 + 8,00,000 + 0 + 0 + 400 + 0 + 0 The final notation is 300,000,000 + 4,000,000 + 8,00,000 + 400

Use the place-value chart for Exercises 11 and 12.

Question 11. The 9 is in the ______ place. Answer: 9 is in the hundred thousand place

Question 12. The 1 has a value of 1 × _____. Answer: This is an expanded form. The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. The place value of 1 is a thousand 1 x 1000 = 1000

Problem Solving

Question 13. In a recent year, the population of the United States was about 304,967,000. Write the population in word form. Answer: three hundred four million nine hundred sixty-seven thousand Explanation: The above-given number: 304,967,000 on millions comma – three hundred and four million on thousands comma – nine hundred sixty-seven thousand The population of the US was about three hundred four million, nine hundred sixty-seven thousand.

Question 14. The land area of Florida is 1 × 100,000 + 3 × 10,000 + 9 × 1,000 + 8 × 100 + 5 × 10 + 2 × 1 square kilometers. Write the area in standard form and word form. Answer: The expanded form is given. 1 x 100,000 = 100,000 3 x 10,000 = 30,000 9 x 1,000 = 9,000 8 x 100 = 800 5 x 10= 50 2 x 1 = 2 The number is: 1,39,852 The standard form: The standard form of a number is introduced to avoid the difficulty of reading large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10. The standard form is 1.39852 x 10^5 The word form is one lakh thirty-nine thousand eight hundred and fifty-two.

Hot Problems

Question 16. Mathematical PRACTICE 2 Use Number Sense Write the number with the least value using the digits 1 through 9. Use each digit only once. Answer:123,456,789

McGraw Hill My Math Grade 5 Chapter 1 Lesson 1 My Homework Answer Key

Use the place-value chart to write 12,498,750 in word form and expanded form.

Question 2. Write the number in word form. twelve million, four hundred ninety-eight thousand, seven hundred fifty Answer: The number for the above-given word form is 12,498,750

Question 3. Write the number in expanded form. 1 × 10,000,000 + 2 × 1,000,000 + 4 × 100,000 + 9 × 10,000 + 8 × 1,000 + 7 × 100 + 5 × 10 Answer: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. The number is 12,498,750

Question 4. Write 103,727,495 in word form and expanded form. Answer: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. The above-given number: 103,727,495 1 x 100,000,000 = 100,000,000 0 x 10,000,000 = 0 3 x 1,000,000 = 3,000,000 7 x 1,00,000 = 7,00,000 2 x 10,000 = 20,000 7 x 1,000 = 7,000 4 x 100 = 400 9 x 10 = 90 5 x 1 = 5 The expanded notation form is 100,000,000 + 0 + 3,000,000 + 7,00,000 + 20,000 + 7,000 + 400 + 90 + 5

Question 5. Hanna stated that 11,760,825 people saw the Miami Heat play last season. Chris wants to be sure he heard the number correctly. Write 11,760,825 in word form and expanded form for Chris. Answer: The above-given number: 11,760,825 The rules to write the numbers in words: To write any number in the form of words, we have to check the place value. Let us learn this by observing the below steps. – The place value of one’s, a number from 1 to 9 is written in words as, one, two, three, four, five, six, seven, eight and nine. – The least number which is at tens place is 10, which is written in words as ten. – The numbers 11 to 19 are written in words as, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen and nineteen. And the next number is twenty. – After twenty, the numbers follow the pattern in such a way that they are written in words such as thirty, forty, fifty, sixty, seventy, eighty, ninety and so on. – The preceding numbers are linked with these words and mentioned from one to nine. For example, twenty-one, twenty-two, etc. – millions comma – eleven million – thousands comma – seven hundred and sixty thousand – one’s comma – eight hundred and twenty-five Finally, the word is eleven million, seven hundred and sixty thousand, eight hundred and twenty-five. Expanded form: The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number. The above-given number: 11,760,825 1 x 10,000,000 = 10,000,000 1 x 1,000,000 = 1,000,000 7 x 1,00,000 = 7,00,000 6 x 10,000 = 60,000 0 x 1,000 = 0 8 x 100 = 800 2 x 10 = 20 5 x 1 = 5 The expanded notation form is 10,000,000 + 1,000,000 + 7,00,000 + 60,000 + 0 + 800 + 20 + 5

Question 6. Mathematical PRACTICE 3 Find the Error American car makers produce 5,650,000 cars each year. In a report, Ben wrote that Americans made 6,550,000 cars. What mistake did Ben make? How can he fix it? Answer: American car makers produce = 5,650,000 Ben wrote = 6,550,000 Ben has mixed up the digit for millions and hundred thousand: he wrote 5 in the place for millions and 6 in the place for hundred thousand. We can fix it by changing their place values. or by reducing 900000 number of cars.

Match the vocabulary word with its definition.

Test Practice

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McGraw-Hill My Math Grade 5 Volume 1

Textbook: mcgraw-hill my math grade 5 volume 1 isbn: 9780021150243.

Use the table below to find videos, mobile apps, worksheets and lessons that supplement McGraw-Hill My Math Grade 5 Volume 1 book.

Chapter 1: Place Value

Lesson 1: place value through millions, lesson 2: compare and order whole numbers through millions, lesson 3: hands on: model fractions and decimals, lesson 4: represent decimals, lesson 5: hands on: understand place value, lesson 6: place value through thousandths, lesson 7: compare decimals, lesson 8: order whole numbers and decimals, chapter 2: multiply whole numbers, lesson 1: prime factorization, lesson 2: hands on: prime factorization patterns, lesson 3: powers and exponents, lesson 4: multiplication patterns, lesson 5: hands on: use partial products and the distributive property, lesson 6: the distributive property, lesson 7: estimate products, lesson 8: multiply by one-digit numbers, lesson 9: multiply by two-digit numbers, chapter 3: divide by a one-digit divisor, lesson 1: relate division to multiplication, lesson 2: hands on: division models, lesson 3: two-digit dividends, lesson 4: division patterns, lesson 5: estimate quotients, lesson 6: hands on: division models with greater numbers, lesson 7: hands on: distributive property and partial quotients, lesson 8: divide three- and four-digit dividends, lesson 9: place the first digit, lesson 10: quotients with zeros, lesson 11: hands on: use models to interpret the remainder, lesson 12: interpret the remainder, chapter 4: divide by a two-digit divisor, lesson 1: estimate quotients, lesson 2: hands on: divide using base-ten blocks, lesson 3: divide by a two-digit divisor, lesson 4: adjust quotients, lesson 5: divide greater numbers, chapter 5: add and subtract decimals, lesson 1: round decimals, lesson 2: estimate sums and differences, lesson 3: hands on: add decimals using base-ten blocks, lesson 4: hands on: add decimals using models, lesson 5: add decimals, lesson 6: addition properties, lesson 7: hands on: subtract decimals using base-ten blocks, lesson 8: hands on: subtract decimals using models, lesson 9: subtract decimals, chapter 6: multiply and divide decimals, lesson 1: estimate products of whole numbers and decimals, lesson 2: hands on: use models to multiply, lesson 3: multiply decimals by whole numbers, lesson 4: hands on: use models to multiply decimals, lesson 5: multiply decimals, lesson 6: multiply decimals by powers of ten, lesson 7: multiplication properties, lesson 8: estimate quotients of decimals, lesson 9: hands on: divide decimals, lesson 10: divide decimals by whole numbers, lesson 11: hands on: use models to divide decimals, lesson 12: divide decimals, lesson 13: divide decimals by powers of ten, chapter 7: expressions and patterns, lesson 1: hands on: numerical expressions, lesson 2: order of operations, lesson 3: write numerical expressions, lesson 4: hands on: generate patterns, lesson 5: patterns, lesson 6: ordered pairs, lesson 7: graph patterns.

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