Comparing Decimals

Show your work for each problem.

1.
Which symbol makes this statement true?
1. a)
2. b)
3. c)
4. d)None of these
Answer:
because 7 tenths is greater than 4 tenths.
2.
Which decimal is the smallest? , , ,
1. a)
2. b)
3. c)
4. d)
Answer:
is the smallest because 3 tenths is less than 6, 8, or 9 tenths.
3.
Write with two decimal places (add a trailing zero).
Answer: 0.50
because adding zeros to the right of the last decimal digit doesn't change the value.
4.
Which is greater: or ? Write the greater number.
Answer: 0.6
because 6 tenths is greater than 2 tenths.
5.
Is equal to ?
1. a)No, is greater
2. b)No, is greater
3. c)Yes, they are equal
4. d)Cannot be determined
Answer: Yes, they are equal
Yes! . Adding zeros to the right doesn't change the value. Both represent 5 tenths.
6.
Which is greater: or ?
1. a)Cannot compare
2. b)They are equal
3. c)
4. d)
Answer:
. Write as vs . At the tenths place, , so is greater.
7.
Which is smaller: or ? Write the smaller number.
Answer: 0.09
. Write as vs . Since hundredths, is smaller.
8.
A runner finishes in seconds and another in seconds. Write the faster time.
Answer: 12.39
seconds is faster because . The smaller time wins the race!
9.
Which is the greatest? , , ,
1. a)
2. b)
3. c)
4. d)
Answer:
is greatest. Compare tenths: has 5 tenths, has 3, has 1, has 0.
10.
Order from least to greatest: , ,
Answer: 0.35, 0.6, 0.8
1. Write all decimals with the same number of places. What is with two decimal places? 0.80
2. What is with two decimal places? 0.60
3. Now compare: , , . Which is smallest? 0.35
4. Write all three from least to greatest, separated by commas. 0.35, 0.6, 0.8
11.
Compare and . Which is greater?
Answer: 0.3
1. Write with two decimal places 0.30
2. Now compare: How many hundredths is ? 30
3. How many hundredths is ? 29
4. Which is greater: 30 or 29 hundredths? Write the original number. 0.3
12.
Product A costs 2.49 euros and Product B costs 2.5 euros. Which is cheaper? Write the price.
Answer: 2.49
. Product A at 2.49 euros is 1 cent cheaper than Product B at 2.50 euros.
13.
Order from greatest to least: , , ,
Answer: 1.52, 1.5, 1.45, 1.4
1. Write all with two decimal places. What is ? 1.50
2. What is ? 1.40
3. Now we have: , , , . Which is greatest? 1.52
4. Which is second greatest? 1.5
5. Write all four from greatest to least. 1.52, 1.5, 1.45, 1.4
14.
A gymnast needs a score of at least to qualify. Her scores are , , and . How many scores qualify?
Answer: 1
1. Write the qualifying score with two decimal places 9.50
2. Is greater than or equal to ? no
3. Is greater than or equal to ? yes
4. Is greater than or equal to ? no
5. How many scores qualify? 1
15.
Which list shows decimals in order from least to greatest?
1. a)
2. b)
3. c)
4. d)
Answer:
As hundredths: 8, 30, 75, 90. In order: .
16.
Three packages weigh kg, kg, and kg. Which package is heaviest?
Answer: 2.4
1. Write all weights with three decimal places. What is ? 2.350
2. What is with three decimal places? 2.400
3. Now compare , , . Which is greatest? 2.400
4. Write the heaviest weight in its original form. 2.4