Decimals on a Number Line

Show your work for each problem.

1.
Where is located on a number line from to ?
1. a)Closer to 0
2. b)Closer to 1
3. c)Exactly halfway between 0 and 1
4. d)At 0
Answer: Exactly halfway between 0 and 1
means 5 tenths, which is exactly half. Half of the distance from 0 to 1 puts it exactly in the middle.
2.
What decimal is exactly halfway between and ?
Answer: 0.5
Halfway between 0 and 1 is . This is because , which is exactly half.
3.
Which decimal is closer to ?
1. a)
2. b)
3. c)
4. d)
Answer:
is closest to because it is only away from . On a number line, is the furthest right among these choices.
4.
What whole numbers is between?
Answer: 2 and 3
has a whole number part of and a decimal part of . So it is between and , specifically 7 tenths past 2.
5.
On a number line, which direction are larger numbers?
1. a)Above
2. b)To the left
3. c)Below
4. d)To the right
Answer: To the right
On a standard horizontal number line, numbers increase as you move to the right. So is to the right of , and is to the right of .
6.
Place on a number line. Between which two whole numbers does it fall, and how many tenths past the first whole number?
Answer: Between 1 and 2, 4 tenths past 1
1. What is the whole number part of ? 1
2. What is the decimal part of ? 0.4
3. So is between which two consecutive whole numbers? 1 and 2
4. How many tenths past 1 is ? 4
7.
Which is greater: or ?
1. a)Cannot be determined
2. b)
3. c)
4. d)They are equal
Answer:
, which is greater than . On a number line, is further to the right than .
8.
What decimal is located at the point that is units to the right of on a number line?
Answer: 2.3
Starting at and moving units to the right gives .
9.
Compare and . Which is greater and why?
Answer: 0.6 is greater
1. Write as hundredths (add a zero) 0.60
2. Now compare: 60 hundredths vs 42 hundredths. Which is more? 60
3. So which decimal is greater? 0.6
4. On a number line, which would be further right? 0.6
10.
Where is located between and ?
1. a)Very close to 0
2. b)One quarter of the way from 0 to 1
3. c)Three quarters of the way from 0 to 1
4. d)Halfway between 0 and 1
Answer: One quarter of the way from 0 to 1
. One quarter means one fourth of the distance from 0 to 1, so is located one quarter of the way.
11.
A number line shows marks at every tenth from to . How many marks are there in total (including and )?
Answer: 11
The marks are at: . That's marks in total.
12.
Order from least to greatest: , , ,
Answer: 0.09, 0.5, 0.55, 0.9
1. Which decimal is the smallest (closest to 0)? 0.09
2. Which comes next after ? 0.5
3. Which comes after ? 0.55
4. Which is the largest? 0.9
13.
What decimal is exactly halfway between and ?
Answer: 0.25
Halfway between and is . You can find this by .
14.
Which statement is TRUE about and ?
1. a)
2. b)
3. c)Cannot compare
4. d)
Answer:
. Comparing to : 19 hundredths is less than 20 hundredths. So .
15.
A thermometer shows a temperature between and degrees. The mercury is at the 7th mark, and there are 10 marks between each whole degree. What is the temperature?
Answer: 36.7
1. What whole number does the temperature start from? 36
2. If there are 10 marks, each mark represents what decimal? 0.1
3. The 7th mark means how many tenths? 7
4. What is the final temperature? 36.7
16.
Name a decimal that is between and (any valid answer works).
Answer: 0.45
Any decimal from to works. Common answers include (halfway), , , etc. These all lie between and on the number line.
17.
A runner completes a race in seconds. Another runner finishes in seconds. Who was faster?
Answer: The runner with 12.45 seconds
1. Write as hundredths (add a zero) 12.50
2. Compare: Is less than or greater than ? less than
3. In a race, is a smaller or larger time better? smaller
4. Who was faster? 12.45 runner