Decimal Place Value
Question: What is the value of the digit 7 in 4.72?
A. 7 ones
B. 7 tenths
C. 7 hundredths
D. 7 thousandths
Answer: B. 7 tenths
The 7 is the first digit after the decimal point, so it is in the tenths place.
Question: Write 0.4 as a fraction in simplest form.
Answer: 2/5
0.4 = 4/10
Simplify by dividing by 2:
4/10 = 2/5
Question: What comes next?
2.4, 2.5, 2.6, 2.7, _____
Answer: 2.8
The pattern increases by 0.1 each time.
Question: Which is greater?
0.8 or 0.6
Answer: 0.8
Both numbers have the same number of tenths, so compare:
8 tenths > 6 tenths
Therefore:
0.8 > 0.6
Question: A student says:
“The 5 in 6.52 is in the hundredths place.”
Is the student correct?
Answer: No.
In 6.52:
So the 5 is in the tenths place.
Question: What is the value of the digit 5 in 8.056?
Answer: 5 hundredths
In 8.056:
So the 5 represents 5 hundredths, or 0.05.
Question: Write 0.27 as a fraction.
Answer: 27/100
There are two decimal places, so the denominator is 100:
0.27 = 27/100
Question: What is the missing decimal?
5.2, 5.6, 6.0, _____, 6.8
Answer: 6.4
The pattern increases by 0.4 each time:
5.2 → 5.6 → 6.0 → 6.4 → 6.8
Question: Fill in the symbol:
0.7 _____ 0.65
Answer: >
Rewrite 0.7 as 0.70.
Then:
0.70 > 0.65
Question: A student says:
“0.8 is smaller than 0.72 because 8 is smaller than 72.”
Is the student correct?
Answer: No.
Rewrite 0.8 as 0.80.
Now compare:
0.80 > 0.72
So 0.8 is greater.
Question: What digit is in the tenths place in 63.48?
Answer: 4
In 63.48:
Therefore, the digit in the tenths place is 4.
Question: Write 0.35 as a fraction in simplest form.
Answer: 7/20
First:
0.35 = 35/100
Simplify by dividing by 5:
35/100 = 7/20
Question: What is the missing number?
7.31, 7.32, 7.33, _____, 7.35
The pattern increases by 0.01 each time.
Question: Put these decimals in order from least to greatest:
2.5, 2.05, 2.55, 2.15
Answer: 2.05, 2.15, 2.5, 2.55
Rewrite 2.5 as 2.50:
2.05 < 2.15 < 2.50 < 2.55
Question: A student says:
“0.32 = 32/10.”
Is the student correct?
Answer: No.
There are two digits after the decimal, so the denominator should be 100:
0.32 = 32/100
In simplest form:
32/100 = 8/25
Question: Build a decimal using these clues:
What is the decimal?
Answer: 6.38
The number has:
6 ones + 3 tenths + 8 hundredths = 6.38
Question: Write 3 7/10 as a decimal.
Answer: 3.7
Since:
7/10 = 0.7
then:
3 7/10 = 3.7
Question: Find the missing decimal:
1.8, 2.4, 3.0, _____, 4.2
Answer: 3.6
Each number increases by 0.6:
1.8 → 2.4 → 3.0 → 3.6 → 4.2
Question: Which letter shows the correct location of 47.6 on the number line?
A — 47.2
B — 47.6
C — 48
Answer: B
The number 47.6 is exactly at the point labeled B.
Question: Two students compare 5.6 and 5.58.
Who is correct? Explain.
Rewrite 5.6 as 5.60.
Now compare:
5.60 > 5.58
Therefore:
5.6 > 5.58
Question: What is the value of the digit 9 in 7.092?
A. 9 tenths
B. 9 hundredths
C. 9 thousandths
D. 9 ones
Answer: B. 9 hundredths
The digits after the decimal are:
So the 9 represents 9 hundredths, or 0.09.
Question: Write 4.25 as a mixed number in simplest form.
Answer: 4 1/4
First:
4.25 = 4 25/100
Simplify:
25/100 = 1/4
Therefore:
4.25 = 4 1/4
Question: A number pattern begins:
3.7, 4.5, 5.3, _____, 6.9
What is the missing number?
Answer: 6.1
The pattern increases by 0.8 each time:
3.7 + 0.8 = 4.5
4.5 + 0.8 = 5.3
5.3 + 0.8 = 6.1
6.1 + 0.8 = 6.9
So the missing number is 6.1.
Question: Four students measured the length of their pencils:
Who has the longest pencil?
Answer: Carlos
Rewrite the decimals with two decimal places:
The greatest measurement is 12.44 cm, so Carlos has the longest pencil.
A teacher writes the following decimals on the board:
3.4, 3.04, 3.44, 3.14
Part 1:
Put them in order from least to greatest.
Part 2:
Write the greatest decimal as a mixed number in simplest form.
Part 1:
3.04, 3.14, 3.4, 3.44
Rewrite 3.4 as 3.40 to compare.
Part 2:
The greatest decimal is 3.44.
3.44 = 3 44/100
Simplify:
44/100 = 11/25
So:
3.44 = 3 11/25
Final Answer: 3.04, 3.14, 3.4, 3.44
Greatest as a mixed number:
3 11/25