Solved Examples and Worksheet for Reading and Writing Decimals to Thousandths

Q1Represent 0.92 in the form of a grid model.

A. Model 1
B. Model 2
C. Model 3
D. Model 4

Step: 1
In each grid there are a total of 100 pieces. So each piece represents one hundredth.
Step: 2
In the number, the integer part is zero. So, there should not be a completely shaded grid. In all the four choices, there is no completely shaded grid.
Step: 3
The digit in the tenths position is 9. So, it is represented by 9 tenths, that is 9 × 10 = 90 shaded pieces.
Step: 4
The digit in the hundredths place, which is 2 is represented by 2 hundredths, that is 2 shaded pieces.
Step: 5
So, 0.92 is represented by 90 + 2 = 92 hundredths. Thus, Model 1 is the correct answer.
Correct Answer is :   Model 1
Q2Which of the models represents 0.7?

A. Model 1
B. Model 3
C. Model 2
D. Model 4

Step: 1
Each strip in the tenths model represents one tenths of the model = 0.1.
Step: 2
So, 0.7 in the tenths model should have 7 colored strips out of ten equally spaced strips
[Since 0.7 = 0.1 x 7.]
Step: 3
Among the choices, Model 1 represents the decimal 0.7
[Model 1 contains 7 equal strips(tenths).]
Correct Answer is :   Model 1
Q3Which of the models represents 0.4?

A. Model 1
B. Model 2
C. Model 3
D. Model 4

Step: 1
One colored strip in the tenths model represents one tenth of the tenths model = 0.1.
Step: 2
0.4 in the tenths model should have 4 colored strips out of ten equally spaced strips.
Step: 3
From the models, model 3 have the four colored strips.
Correct Answer is :   Model 3
Q4Which of the following expresses 731.56 in words?
A. seven thousand thirty-one and fifty-six tenths
B. seven hundred thirty-one and fifty-six thousandths
C. seven hundred thirty-one and fifty-six hundredths
D. seven thousand thirty-one and fifty-six hundredths

Step: 1
In the number 731.56, 7 is in hundreds place.
Step: 2
In the number 731.56, 3 is in tens place.
Step: 3
In the number 731.56, 1 is in units place.
Step: 4
In the number 731.56, 5 is in tenths place.
Step: 5
In the number 731.56, 6 is in hundredths place.
Step: 6
The number name is seven hundred thirty-one and fifty-six hundredths.
Correct Answer is :   seven hundred thirty-one and fifty-six hundredths
Q5Identify the numeral for the number name "Five thousand thirty-three and six hundred twenty-one thousandths".

A. 5,333.621
B. 5,033.621
C. 5,330.621
D. 5,303.621

Step: 1
Five thousand thirty-three in numeral form = 5,033.
Step: 2
Six hundred twenty-one thousandths in numeral form is 0.621.
Step: 3
The required numeral form is 5,033 + 0.621 = 5,033.621.
Q6Find a decimal for the number of square pieces shaded.

A. 0.52
B. 0.052
C. 0.48
D. 0.4

Step: 1
The figure represents a hundredths model formed by drawing ten equally spaced vertical lines, each divided by ten equally spaced horizontal lines.
Step: 2
The total number of square pieces = 10 x 10 = 100.
Step: 3
In the model, 52 square pieces are shaded.
Step: 4
The fraction of the model shaded = Number of square pieces shaded / total number of square pieces = 52100
Step: 5
52100 = 52 hundredths
= 0.52

Step: 6
The decimal that represents the number of square pieces shaded = 0.52
Q7Express the shaded area as a decimal.

A. 16
B. 0.016
C. 0.16
D. None of the above

Step: 1
From the figure, 16 parts out of 100 parts are shaded.
Step: 2
The fraction of the shaded area = shaded areatotal area = 16100
Step: 3
= 16100 = 0.16
[Write the fraction as a decimal.]
Step: 4
The decimal equivalent of the shaded region is 0.16
Q8Identify the word form for the number 4878.79.

A. four hundred, seventy-nine and seventy-eight tenths
B. four thousand, eight hundred seventy-nine and seventy-eight
C. four thousand, eight hundred seventy-eight and seventy-nine hundredths
D. four thousand, eight hundred seventy-nine and seventy-eight tenths

Step: 1
In the number 4878.79, 4 is in the thousands place.
Step: 2
In the number 4878.79, 8 is in the hundreds place.
Step: 3
In the number 4878.79, 7 is in the tens place.
Step: 4
In the number 4878.79, 8 is in the ones place.
Step: 5
In the number 4878.79, 7 is in the tenths place.
Step: 6
In the number 4878.79, 9 is in the hundredths place.
Step: 7
So, the number in words can be written as four thousand, eight hundred seventy-eight and seventy-nine hundredths.
Correct Answer is :   four thousand, eight hundred seventy-eight and seventy-nine hundredths
Q9Use digits and a decimal point to write the number 'Nine hundred two and thirty seven thousandths'.

A. 9020.37
B. 902.37
C. 902.037
D. 90.2037

Step: 1
Nine hundred two in numeral form is 902.
Step: 2
thirtyseven thousandths in numeral form is 0.037.
Step: 3
The required numeral form is 902 + 0.037 = 902.037.
Q10Identify 'Four and thirty-five hundredths' in decimal form.

A. 4.35
B. 5.36
C. 4.36
D. 5.35

Step: 1
Four written in the numeral form is 4.
Step: 2
Thirty-five hundredths written in the numeral form is 0.35.
Step: 3
So, the required numeral form is 4 + 0.35 = 4.35.
Q11Identify the decimal 7.777 in words.
A. seven and seven hundred seventy
B. seven and seven hundred seventy-seven thousandths
C. seven and seven hundred seventy-seven

Step: 1
The number 7.777 is read as seven and seven hundred seventy-seven thousandths.
Correct Answer is :   seven and seven hundred seventy-seven thousandths
Q12Pick the decimal equivalents of the first 2 decimal places in the place value chart and find their sum.
A. 0.1111
B. 0.111
C. 0.11

Step: 1
110and 1100
[The first 2 decimal places in the place value chart.]
Step: 2
0.1 and 0.01
[Decimal equivalents.]
Step: 3
The sum of the two decimal places: 0.1 + 0.01 = 0.11.
Q13Which of the following choices represents the model?

A. 23 hundredths
B. 20 hundredths
C. 19 hundredths
D. 9 hundredths

Step: 1
The figure represents a hundredths model formed by drawing ten equally spaced vertical lines and ten equally spaced horizontal lines.
Step: 2
The total number of square pieces formed = 10 × 10 = 100.
Step: 3
In the model, the number of square pieces colored = 20
Step: 4
The model represents 20 parts out of 100 equal parts.
Step: 5
So, the model represents 20 hundredths.
Correct Answer is :   20 hundredths