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.

Question 1.
Complete the place-value chart.

Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
– Place value charts help us to make sure that the digits are aligned in the correct places. A place value chart displays the correct position or place of a digit in a number. To identify the positional values or worth of different digits in a number accurately, we first write the given digits in the place value chart to check their position. In order to make the process easier, the larger numbers are divided into periods that are separated with the help of commas.
In the above-given example,
the distance from the earth to the sun is 92,955,793 miles

Question 2.
List the values of each digit.

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.
9 x 10,000,000 = 90,000,000
2 x 1,000,000 = 2,000,000
9 x 100,000 = 900,000
5 x 10,000 = 50,000
5 x 1000 = 5000
7 x 100 = 700
9 x 10 = 90
3 x 1 = 3

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 1.
Write the number in the place-value chart.

Answer:
– Place value charts help us to make sure that the digits are aligned in the correct places. A place value chart displays the correct position or place of a digit in a number. To identify the positional values or worth of different digits in a number accurately, we first write the given digits in the place value chart to check their position. In order to make the process easier, the larger numbers are divided into periods that are separated with the help of commas.

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

Talk Math
Explain how the value of the highlighted digit in the number 26,077,928 compares to the digit to its left.

Guided Practice

Write the value of the underlined digit.

Question 1.
469,999 ____
Answer:
– Place value charts help us to make sure that the digits are aligned in the correct places. A place value chart displays the correct position or place of a digit in a number. To identify the positional values or worth of different digits in a number accurately, we first write the given digits in the place value chart to check their position. In order to make the process easier, the larger numbers are divided into periods that are separated with the help of commas.

The underlined number is 9 and its place is tens place.

Question 2.
35,098,098 ____
Answer:
– Place value charts help us to make sure that the digits are aligned in the correct places. A place value chart displays the correct position or place of a digit in a number. To identify the positional values or worth of different digits in a number accurately, we first write the given digits in the place value chart to check their position. In order to make the process easier, the larger numbers are divided into periods that are separated with the help of commas.

The underlined number is 9 and the position is ten thousand.

Question 3.
Circle the digit in the ten thousand places.
1, 2 3 5, 9 8 0
Answer:
– Place value charts help us to make sure that the digits are aligned in the correct places. A place value chart displays the correct position or place of a digit in a number. To identify the positional values or worth of different digits in a number accurately, we first write the given digits in the place value chart to check their position. In order to make the process easier, the larger numbers are divided into periods that are separated with the help of commas.

Independent Practice

Write the value of the underlined digit.

Question 4.
3,132,685 _______
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined value is 6 and its position is hundreds of places.

Question 5.
5,309,573 _______
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 3 and its position is a hundred thousand.

Question 6.
1,309,841 _______
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 9 and its position is thousands place.

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.

Question 15.
Mathematical PRACTICE 6 Explain to a Friend The amount of time that American astronauts have spent in space is about 13,507,804 minutes. Is the number read as thirteen million, fifty-seven thousand, eight
hundred four? Explain to a friend or classmate.

Answer:
The astronauts spend time in space = 13,507,804 minutes
We cannot read thirteen million, fifty-seven thousand, eight hundred four
The number should be read in thirteen million, five hundred and seven thousand, eight hundred and four.
on millions comma – thirteen million
on thousands comma – five hundred and seven thousand
on one’s comma – eight hundred and four.

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

Question 17.
? Building on the Essential Question Explain how you know what number is missing in the equation 3947 = 3,000 + + 40 + 7.
Answer:
The above-given number is 3947
we know the place values
3 is in the thousand place 3 x 1,000 = 3,000
9 is in the hundreds place 9 x 100 = 900
4 is in the tens place 4 x 10 = 40
7 is in the one’s place 7 x 1 = 7
In expanded notation, the missing term is hundreds place.
3000 + 900 + 40 + 7.

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 1.
Write the number in the place-value chart.

Answer:
The above-given number is 12,498,750
The word form is:
on millions comma – twelve million
on thousand comma – four hundred and ninety-eight thousand
on one’s comma – seven hundred and fifty
The word form is twelve million, four hundred and ninety-eight thousand, seven hundred and fifty.
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.
1 x 10,000,000 = 10,000,000
2 x 1,000,000 = 2,000,000
4 x 1,00,000 = 4,00,000
9 x 10,000 = 90,000
8 x 1,000 = 8,000
7 x 100 = 700
5 x 10 = 50
0 x 1 = 0
The expanded notation form is 10,000,000 + 2,000,000 + 4,00,000 + 90,000 + 8,000 + 700 + 50 + 0

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

Practice

Write the value of the underlined digit.

Question 1.
1,283,479
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 8 and its position is ten thousand.

Question 2.
50,907,652
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 9 and its position is a hundred thousand.

Question 3.
318,472,008
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 3 and its position is a hundred million.

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

Problem Solving

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.

Vocabulary

Match the vocabulary word with its definition.

Answer:

Test Practice

Question 10.
A popular pirate movie made $135,634,554 in sales during one weekend. What is the value of the highlighted digit?
A. $30,000
B. $3,000,000
C. $300,000
D. $30,000,000
Answer: Option A and D
Explanation:
If we observe the options the number is only 3.
So in the above-given number, 3 is having in two different positions.
3 is in ten thousand place and another 3 is in the ten million place.

3 x 10,000 = 30,000
3 x 10,000,000 = 30,000,000