Worksheet 2 – Ordering Decimals, Estimating, Adding & Subtracting
1. Order the following decimals from least to greatest
8.002
8.02
8.2
8.12
3. 345
3.45
3. 35
3. 439
8. 021
3.4
2. Order the following fractions and decimals from least to greatest (Remember to change them to
decimals first)
1
3
5
9
3
0.31
10
0.549
7
1
9
1.714
1
2
1
5
7
0.339
0.299
0.499
0.557
1.7
1.699
3. Matching fractions and decimals
Fraction
a.
b.
c.
d.
e.
5
12
11
35
13
27
201
799
42
125
Circle fraction closest to decimals below, explain
0. 25 0.4 0.5 0.42
0. 25 0.3̅ 0.3 0.4
0.45 0.5
0.4 0.58
0.15
0.25 0.3 0.42
0.2
0.25
0.3̅ 0.4
Wait!! Not yet! I will
tell you when.
Calculate exact
decimal
Estimating Addition & Subtraction
Use estimation to place the decimal point in each sum without calculating. Show your thinking.
4.
62.57 + 28.41 = 9 0 9 8
estimate: ________________________
5.
75.83 + 37.9 − 28 = 8 5 7 3
estimate: ___________________________________
6.
631.5 + 902.4 + 217.83 = 1 7 5 1 7 3
estimate: ______________________________________
For the next 4 questions explain your thinking.
7.
0.458 + 0.319 + 0.2 = 9 7 7
estimate: _______________________________
8.
$9.14 + $6.99 + $0.49 = $1 6 6 2
estimate: _______________________________
9.
296.9 cm − 38.7 cm + 429.25 cm = 7 8 7 4 5 cm
estimate: _______________________________
10.
$335.61 − $240 = $9 5 6 1
estimate: _______________________________
Estimating, Adding, & Subtracting Decimals
Estimate and then calculate. Remember to align the decimal points so that digits with the same
place value line up. e.g. 1.23 + 1.7 =?
Think:
1.7 = 1.70
1. 23
+ 1.70
2. 93
Line up the
decimals!!
for addition
and
subtraction!!
11.
46.1 + 13.27 =
Estimate: ________________
12.
105.86 + 47.3 + 10.5 =
Estimate: ________________________
13.
87.4 – 5.13 =
Estimate: __________________
14.
7.1 – 0.64 =
Estimate: _______________
15. Adam Fast and Christian had an eating contest. Adam ate 13.25 bananas and
Christian ate 12.75 bananas. How many bananas did they eat in total.
All calculations on
right side.
Number Sentence: _______________________________________________
Estimate _______________________________________
Answer in Word Sentence: ________________________________________________________________
Remember to add units
16. Anna has $643.56. If she buys an iPad for $549.99, how much money will she have left?
Number Sentence: _______________________________________________
Estimate _______________________________________
Answer in Word Sentence: ________________________________________________________________
17. Hunter bought snacks for a class party. (Taxes are included in the price.) She spend $3.45 on chips, $6.58 on
Pepsi, and $12.57 on ice cream. She had $20.00 to spend. Did she have enough money? If so how much was
left over? If not, how much did she have to borrow from her dad or mom.
Number Sentence: _______________________________________________
Estimate _______________________________________
Answer in Word Sentence: ________________________________________________________________
18. The following students have the following items for lunch:
Laura’s Bill
2 slices pizza (each $2.50)
1 bottle Gatorade ($2.00)
1 cookie ($.50)
Kayla’s Bill
Da-In’s Bill
Chicken Noodle Soup ($2.50)
With bread stick ($.50)
Oat square with chocolate ($.75)
1 bottle Ice drink ($1.75)
Monte Cristo Sandwich ($4.25)
Juice Box ($.75)
3 cookies (each $.50) to share
with friends
Total: $7.00
Total $5.50
Total: $6.50
a. Check whether the bills were totaled correctly, and correct any errors.
b. Mr. Hummelt was next in line and offered to pay the bills of the three students. He handed
the cashier a twenty-dollar bill. Is that enough money? How much change will he receive, or
how much more money will he need to pay?
Number Sentence: _______________________________________________
Estimate _______________________________________
Answer in Word Sentence: ________________________________________________________________
19. Walker joined a cycling club that meets each Monday. He bought a digital odometer for his
bicycle, began a trip log, and set a goal of cycling 50 km per week. The first week, he made the
following entries: Monday 17.38 km, Tuesday 0 km, Wednesday 15.83 km, Thursday 0 km,
Friday 12.25 km, and Saturday 0 km. Sunday morning he checked his progress. Will he need
to cycle on Sunday to meet his goal? If so, how far will he need to go?
Number Sentence: _______________________________________________
Estimate _______________________________________
Answer in Word Sentence: ________________________________________________________________
Remember to add units
BrainBashers Puzzles – Have fun!
20. Bungled Heist After a local bungled heist, five suspects were being interviewed by the police.
Eventually the police managed to get a confession.
Below is a summary of their statements and it turns out that exactly 5 of these statements were true.
Would you make a good detective, try and work out who committed the crime? (Level compared to
others on this website: easy)
Adrian said:
It wasn't Barry
It was Cedric
Barry said:
It wasn't Adrian
It was Derek
Cedric said:
It wasn't Derek
It wasn't Barry
Derek said:
It wasn't Eric
It was Adrian
Eric said:
It wasn't Cedric
It was Derek
21. Mountain Bike Race At the recent BrainBashers downhill mountain bike race, four entrants
entered the challenging slalom event (level: easy)
o
o
o
o
o
o
Alan came first.
The entrant wearing number 2 wore red, whereas John didn't wear yellow.
The loser wore blue and Steve wore number 1.
Kev beat Steve and the person who came second wore number 3.
The entrant in yellow beat the entrant in green.
Only one of the entrants wore the same number as their final position.
Can you determine who finished where, the number and colour they wore?
22. Horse Derby At last BrainBashers horse derby, 10 fine horses completed the gruelling 3 mile
course. Predictably, as per every year, the results mysteriously went missing. However, various
marshals remembered the following snippets of information:
(Level: medium)
Simple Simon lost to Zebra Wings.
Zebra Wings beat Simple Simon, Frogman's Flippers and Apple Pie.
Fizzy Pop lost to Minty Mouth, Simple Simon and CD Player.
Frogman's Flippers beat Windy Hill, CD Player and Simple Simon.
Top Hat lost to CD Player, Kippers and Apple Pie.
CD Player beat Top Hat and Fizzy Pop.
Apple Pie lost to Zebra Wings and Simple Simon.
Kippers lost to Apple Pie and Frogman's Flippers.
Frogman's Flippers beat Fizzy Pop, Minty Mouth and CD Player.
CD Player lost to Frogman's Flippers, Kippers and Apple Pie.
Top Hat beat Fizzy Pop and Windy Hill.
Minty Mouth lost to Windy Hill and Simple Simon.
Windy Hill lost to Apple Pie and CD Player.
Can you work out who finished where?
23. Card Game You find yourself playing a game with your friend. It is played with a deck of only
16 cards, divided into 4 suits: Red, Blue, Orange and Green. There are four cards in each suit: Ace,
King, Queen and Jack. Ace outranks King, which outranks Queen, which outranks Jack - except
for the Green Jack, which outranks every other card.
If two cards have the same face value, then Red outranks Blue, which outranks Orange, which
outranks Green, again except for the Green Jack, which outranks everything.
Here's how the game is played: you are dealt one card face up, and your friend is dealt one
card face down. Your friend then makes some true statements, and you have to work out who has
the higher card, you or your friend. It's that simple!
Round 1:
You are dealt the Green Ace and your friend makes three statements:
1. My card is higher than any Queen.
2. Knowing this, if my card is more likely to beat yours, then my card is Blue. Otherwise it isn't.
3. Given all of the information you now know, if your card is more likely to beat mine, then my
card is a King. Otherwise it isn't.
Who has the higher card, you or your friend? (Level: medium)
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