McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 1 Lesson 6 Place Value Through Thousandths will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 1 Lesson 6 Place Value Through Thousandths

Example 1
Five tree taps produce enough maple sap to make 1 gallon, or about 3.79 litres, of syrup. Read and
write the number of litres in word form. Write the number in the place-value chart.

McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 1

Question 1.
Write the number in the place-value chart.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 2
Answer:
The above-given litres of 3.79
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q1

Question 2.
The place value of the last digit, 9, is ____
Use the word and for the decimal point.
Word form: ___ and seventy-nine ____
Answer:
The place value of the last digit, i.e., 9 is in the hundredth place.
The word form is three and seventy-nine hundredths.

Example 2
Circle the digit in the thousandth place. Then write the value of the digit.

0.247

Question 1.
The thousandth place is ____ places to the right of the decimal place. Circle the digit.
Answer:
The above-given decimal is 0.247
The thousandth place is three places to the right of the decimal place.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q2
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q2.1

Question 2.
The digit has a value of ___ thousandths.
Answer:
The digit has a value of seven thousandths.

Example 3
Write five and six hundred fourteen thousandths in standard form and expanded form.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 3
So, in expanded form, 5.614 = 5 × 1 + (6 × \(\frac{1}{10}\)) + (1 × \(\frac{1}{100}\)) + (4 × \(\frac{1}{1,000}\))
Answer:
The word form is given
The standard form is 5.614
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q3

Guided Practice

Question 1.
Circle the digit in the tenths place. 6.1 4
Answer:
The above-given decimal is 6.14
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q4

Question 2.
Circle the digit in the hundredths place. 4.036
Answer:
The above-given decimal is 4.036
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q5

Write each number in standard form.

Talk Math
Name the advantage of using 0.8 instead of \(\frac{8}{10}\).
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 4

Question 3.
5 and 87 hundredths
_____________________
Answer:
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
5 is the one’s place
. represents “and”
8 is in the tens place
7 is in the hundredths place
The standard form is 5.87
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q6

Question 4.
2 × 10 + 6 × 1 + (9 × \(\frac{1}{10}\)) + (1 × \(\frac{1}{100}\)) + (4 × \(\frac{1}{1,000}\))
Answer:26.914
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q7

Question 5.
Write 19.4 in expanded form. Then write in word form.
Answer:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
The expanded form is 1 x 10 + 9 x 1 + (4 x 1/10)
The word form is nineteen and four tenths.

Independent Practice

Name the place of the underlined digit. Then write the value of the digit.

Question 6.
63.47
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q8
The place value of the underlined digit is hundredths.
The underlined number can be written as 0.07

Question 7.
9.56
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q9
The place value of the underlined digit is tenths.
The underlined number can be written as 0.5

Question 8.
4.072
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q10
The place value of the underlined digit is thousandths.
The underlined number can be written as 0.002

Question 9.
81.453
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q11
The place value of the underlined digit is tenths.
The underlined number can be written as 0.4

Question 10.
1.608
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q12
The place value of the underlined digit is thousandths.
The underlined number can be written as 0.008

Question 11.
7.017
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q13
The place value of the underlined digit is hundredths.
The underlined number can be written as 0.01

Write each number in standard form.

Question 12.
thirteen and nine tenths _____________
Answer:
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The word form is given.
‘.’represents “and”
The standard form can be written as 13.9
because the 13 stays the same and in decimals, .1 is a tenth so there for .9 is your tenth 13.9

Question 13.
fifty and six hundredths ________
Answer:
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The word form is given.
‘.’ represents “and”
The standard form can be written as 50.06

Question 14.
1 × 10 + 1 × 1 + (9 × \(\frac{1}{10}\)) + (2 × \(\frac{1}{100}\)) + (3 × \(\frac{1}{1,000}\))
Answer:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
The standard form can be written as 11.923

Question 15.
7 × 10 + (1 × \(\frac{1}{10}\)) + (5 × \(\frac{1}{1,000}\)) _______
Answer:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
The standard form can be written as 70.105

Question 16.
five and three thousandths _______
Answer:
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The word form is given.
‘.’ represents “and”
The standard form can be written as 5.003

Question 17.
6 × 10 + 4 × 1 + (4 × \(\frac{1}{10}\)) + (1 × \(\frac{1}{100}\)) + (8 × \(\frac{1}{1,000}\)) ______
Answer:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The standard form can be written as 64.418

Write each number in expanded form. Then write in word form.

Question 18.
0.917
_____________
_____________
Answer:
The above-given standard form is 0.917
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
(9 x 1/10) + (1 x 1/100) + (7 x 1/1000)
The word form can be written as nine hundred seventeen thousandths.

Question 19.
69.409
_____________
_____________
Answer:
The above-given standard form is 69.409
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
(6 x 10) + (9 x 1) + (4 x 1/10) + (0 x 1/100) + (9 x 1/1000)
The word form can be written as sixty-nine and four hundred nine thousandths.

Problem Solving

Question 20.
A baseball player had a batting average of 0.334 for the season. Write this number in expanded form.
Answer:
The above-given standard form is 0.334
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
(3 x 1/10) + (3 x 1/100) + (4 x 1/1000)

Question 21.
There were three and five-hundredths inches of rain yesterday. Write this number in standard form.
Answer:
The word form is given.
We need to write the standard form.
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The standard form can be written as 3.05

Question 22.
An athlete completes a race in 55.72 seconds. How many times greater is the digit in the tens place than
the digit in the one’s place?
Answer:
The above-given decimal value is 55.72
As we already know,
if the digit in the place value moves from left to right we always multiply with 10. So, the digit is 10 times greater is the digit in the tens place than the digit in the one’s place.

Question 23.
The table shows the amount of salt that remains when a cubic foot of water evaporates. Read each number that describes the amount of salt. Then write each number in words.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 5
Answer:
The amount of salt in the Atlantic Ocean = 2.2
The amount of salt in Lake Michigan = 0.01
The word form for the Atlantic Ocean is two and two-tenths pounds
The word form for Lake Michigan is one-hundredth pound.

Question 24.
Mathematical PRACTICE 3 Which One Doesn’t Belong? Circle the decimal that does not belong with the other three.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 6
Answer:
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q24
The circled one is wrong because in hundredths position 9 is there, so the correct answer will be 5 and 39 hundredths.

Question 25.
? Building on the Essential Question How is place value used to read decimals?
Answer:
Place value is used to read decimals by adding a “th” to each place right of the decimal point, as in a 10ths place, 100ths place, 1000ths place, and so on. The “th,” as with the decimal point, indicates that the number is not whole. For example, “three ten s ” = 30, whereas “three tenths ” is less than a third of something.
(or)
You can say the numbers to the left and/or right of the decimal point and the name of the place value of the last digit.

McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 My Homework Answer Key

Practice

Name the place of the underlined digit. Then write the value of the digit.

Question 1.
35.052
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q1h
The underlined digit is 5
The place value of the digit is the hundredths.

Question 2.
5.654
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q2h
The underlined digit is 4
The place value of the digit is the thousandths.

Question 3.
4.95
Answer:
A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point.
The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q3h
The underlined digit is 9
The place value of the digit is the tenths

Write each number in standard form.

Question 4.
thirty-four and twelve hundredths
Answer:
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The standard form can be written as 34.12

Question 5.
2 × 10 + 4 × 1 + (7 × \(\frac{1}{10}\)) + (4× \(\frac{1}{100}\)) + (5 × \(\frac{1}{1,000}\)) ____
Answer:
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
Decimal numbers employ 10 as the base and require 10 different numerals and a dot for the representation of its numbers. In this system, the digits used in denoting the number take different place values depending upon their position.
The standard form can be written as 21.745

Write each number in expanded form. Then write in word form.

Question 6.
23.5
Answer:
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
(2 x 10) + (3 x 1) + (5 x 1/10)
The word form can be written as twenty-three and five-tenths.

Question 7.
164.38
Answer:
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
(1 x 100) + ( 6 x 10) + (4 x 1) + ( 3 x 1/10) + (8 x 1/100)
The word form can be written as one hundred sixty-four and thirty-eight hundredths.

Question 8.
209.106
Answer:
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
(2 x 100) + ( 0 x 10) + (9 x 1) + ( 1 x 1/10) + (0 x 1/100) + (6 x 1/1000)
The word form is two hundred nine and one hundred six thousandths.

Problem Solving

Question 9.
Mathematical PRACTICE Model Math When measuring board footage for some exotic woods, a carpenter must use 1.25 inches for thickness rather than 1 inch in her calculations. Write 1.25 in expanded form.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths 7
Answer:
Expanded form:
The decimals can be written in an expanded form which simply means writing the number in its place value. This can be done by multiplying each digit by the given place value and adding the numbers together.
The above-given standard form is 1.25 inches
( 1 x 1) + ( 2 x 1/10) + ( 5 x 1/100)

Question 10.
The summer camp Jessica attends is exactly four hundred twenty-three and four-tenths miles from her home. Write four hundred twenty-three and four-tenths in standard form.
Answer:
The above-given word form is four hundred twenty-three and four-tenths miles.
The standard form of a decimal number is also known as scientific notation. It involves expressing a given decimal number by its first digit followed by a decimal point and its remaining digits, multiplied by a power of 10 such that it is equivalent to the original value.
The standard form is 423.4

Test Practice

Question 11.
Which statement is true regarding the value of the digit in the tenth place of the decimal 19.993?
A. It is 10 times as great as the value of the digit in one’s place.
B. It is 10 times as great as the value of the digit in the thousandths place
C. It is \(\frac{1}{10}\) as great as the value of the digit in the ones place.
D. It is \(\frac{1}{10}\) as great as the value of the digit in the tens place.
Answer: Option A is correct.
The above-given decimal value is 19.993
McGraw Hill My Math Grade 5 Chapter 1 Lesson 6 Answer Key Place Value Through Thousandths q11h
according to the options, the place value of the digit is moving to the right so it is 10 times greater the value of the digit in the one’s place.

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