Decimals Place Value
What is the value of the digit 6 in 4.062?
6 hundredths, or 0.06
Write 0.4 as a fraction in simplest form.
2/5
Round 7.36 to the nearest tenth.
7.4
Question:
Which is greater?
3.7 or 3.6
3.7
Question:
A student says:
0.5 = 5/100
Is the student correct?
Answer: No.
0.5 = 5/10 = 1/2
5/100 = 0.05
Question:
Write 5.307 as a sum of its place values.
5 + 0.3 + 0.007
Write 0.075 as a fraction in simplest form.
3/40
Round 5.724 to the nearest hundredth.
5.72
Question:
Fill in <, >, or =:
4.28 ___ 4.208
Question:
Fill in <, >, or =:
4.28 ___ 4.208
Question:
A student says:
3.04 > 3.4
because 4 is greater than 04.
Do you agree?
Answer: No.
3.04 = 3.040
3.4 = 3.400
Therefore:
3.4 > 3.04
What is the value of the digit 8 in 12.084?What is the number?
0.08
Write 3.006 as a mixed number in simplest form.
3 3/500
Round 8.497 to the nearest hundredth.
8.50
Question:
Put these decimals in order from least to greatest:
2.45, 2.405, 2.5, 2.054
2.054, 2.405, 2.45, 2.5
Question:
A student changes 0.625 into a fraction and gets 625/10.
Find the mistake and give the correct answer.
There are three digits after the decimal, so the denominator should be 1,000, not 10.
0.625 = 625/1,000 = 5/8
Question:
A number has 4 decimal places.
The digit in the tenths place is 7.
The digit in the hundredths place is 0.
The digit in the thousandths place is 5.
The digit in the ten-thousandths place is 2.
The whole-number part is 8.
What is the number?
8.7052
Write 3.006 as a mixed number in simplest form.
4.375
A race is recorded as 12.68 seconds when rounded to the nearest hundredth.
Give one possible number with three decimal places that could have been the original time.
Answer: Any number from 12.675 through 12.684 works.
For example:
12.679 → 12.68
Question:
Three students ran different distances:
Who ran the greatest distance?
Answer: Ava
5.720 > 5.702 > 5.270
Question:
A football player has three recorded distances:
72.4 yards
72.04 yards
72.405 yards
A student says 72.04 is the greatest because 04 is greater than 4.
Do you agree? Explain.
Answer: No.
Rewrite them with three decimal places:
72.400
72.040
72.405
Therefore, the greatest distance is:
72.405 yards
Question:
I am thinking of a number between 6 and 7.
What number am I?
6.3841
Write 4 3/8 as a decimal.
A student says that 2.45 = 2 45/10.
Are they correct? If not, write the correct mixed number.
Answer: No.
There are two digits after the decimal, so the denominator should be 100.
2.45 = 2 45/100 = 2 9/20
A package weighs 3.42 pounds when rounded to the nearest hundredth.
What are the greatest and least possible weights, if the original weight had three decimal places?
Least: 3.415 pounds
Greatest: 3.424 pounds
Both round to 3.42 to the nearest hundredth.
Question:
A student says:
“6.09 is greater than 6.9 because 09 is greater than 9.”
Is the student correct? Explain.
Answer: No.
Rewrite the numbers with the same number of decimal places:
6.09 = 6.090
6.9 = 6.900
Therefore:
6.9 > 6.09
The tenths place is compared before the hundredths place, and 9 tenths is greater than 0 tenths.
Question:
A number has three decimal places and rounds to 9.37 when rounded to the nearest hundredth.
Which of these could NOT be the original number?
A. 9.365
B. 9.372
C. 9.374
D. 9.379
Answer: D. 9.379
The numbers that round to 9.37 must be between:
9.365 and 9.374
Since 9.379 rounds to 9.38, it cannot be the original number.