European Money
European Money
EDITION 1.0
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Please visit www.MathMammoth.com for more information about Maria Miller's math books.
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Contents
Introduction ......................................................................... 4
Review ................................................................................ 45
Answers .............................................................................. 46
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Introduction
Math Mammoth European Money is a worktext that covers money-related topics usually encountered
during grades 1-3. The book contains both textbook explanations and exercises, and is designed to be very
easy to teach from, requiring very little teacher preparation (you do need to find practice coins before the
lessons).
The book starts with first-grade topics such as counting coins with cent-amounts and easy problems about
change. For the most part, these lessons use "c" as a symbol for cents. I realize there is no official symbol
for cents, but when young children are learning to count coins, it is much more natural to count them as
cent-amounts, and not use the euro symbol such as in €0.08 to mean 8 cents.
While these initial lessons use pictures for the coins, practicing with real coins is, of course, even better,
and you should have real money on hand to practice with.
From there, the lessons advance toward second-grade, and finally to third grade topics, such as practicing
with euro amounts, and figuring out total bills and change. Therefore, you can also let your child work the
pages of this book in different time periods, and not go through it all at once, depending on your child's
current level.
Making Change explains two basic ways of finding the change: counting up, and subtracting (finding the
difference). This is all done with mental math. The next lesson also practices money problems using
mental math.
In the last lesson we solve money problems by adding and subtracting money amounts vertically (in
columns).
On the next page you will find a list of money activities and games on the Internet.
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Euro Money Resources on the Internet
Use these games and resources to supplement the bookwork as you see fit.
You can access an up-to-date online version of this list at
www.mathmammoth.com/weblinks/european_money.htm
Spend Healthy
Shop from a vending machine. Draw the right amount of euro coins to the coin slot.
http://skola.gov.mt/euro/gameShop.aspx
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Counting One, Two, and Five-Cent Coins
This coin is
This coin is This coin is
worth 1 cent
worth two cents. worth five cents
(euro cent).
We write 2 c. = 5 c.
We write 1 c.
a. b. c.
d. e. f.
g. h. i.
___________c
__________c __________c
2. Count and write the total amount in cents; especially notice all of the fives.
a. b.
____________c ____________c
c. d.
___________c ___________c
=7c =7c
=7c
3. Make these amounts of money in different ways. Use five-cent, two-cent- and one-cent coins.
You can either use real money or draw red circles with “5”, with “2” and with “1”.
Do not confuse these coins! They are all gold colored. Also, the larger the coin, the more
valuable it is. To be sure, look at the number written on them.
a. b.
____________ c ____________ c
c. d.
____________ c _________ c
e. f.
________ c ____________ c
g. h.
___________ c ____________ c
i. j.
____________ c
____________ c
2. Count the coins. Write the total amount. Count two fives as a ten.
a. b.
________ c _________ c
c. d.
_________ c _________ c
e. f.
_________ c _________ c
3. Make these money amounts in three different ways. Either use real money or draw red
circles with “5”, with “2” and with “1”, and gold circles with “10” and “20”.
4. Make these money amounts. Try to use the least amount of coins possible. Think!
a. 22 cents b. 35 cents
c. 13 cents d. 34 cents
e. 56 cents f. 46 cents
g. 62 cents h. 78 cents
i. 27 cents j. 94 cents
a.
_________ c b.
_________ c
c. d.
_________ c _________ c
e. f.
_________ c _________ c
2. Draw one five-cent coin more — how much money is there now?
a. b.
_________ c _________ c
c. d.
_______ c _________ c
e. f.
_________ c _______ c
3. Draw one ten-cent coin more — how much money is there now?
a. b.
_________ c _________ c
c. d.
_________ c _________ c
a. 25 c b. 39 c c. 14 c
d. 38 c e. 63 c f. 56 c
g. 81 c h. 45 c i. 27 c
5. You have some money, and you get some more. Use real money or draw pictures to help.
a. b. c.
2. You have:
Draw the coins you would use to pay for an item that costs:
c. a 20-c coin, five 10-c coins d. three 20-c coins, three 5-c coins,
and six 2-c coins and three 2-c coins
a.
39 c b. 88 c c. 54 c
d. 61 c e. 97 c f. 81 c
i.
26 c
g. 73 c h. 45 c
When you buy something in a store, you often do not have the exact amount of money to pay
for it. Instead, you give the clerk more money than what the item costs. The clerk then gives
you some money back. This is called your change.
A pen costs 55 cents. You don't have the coins to make exactly 55 cents, so you give the
clerk 60 cents. That is 5 cents too much! But then the clerk gives you back 5 cents, which is
your change.
Price: 55 c 60 c 5c
The clerk gives you back the difference between the price and what you paid.
In the problems below, find the change you get back. Think of the DIFFERENCE between the
price and what you pay; or, think how many cents you paid “too much”. That's your change.
You can set up a “play store” to do these problems, using real money, one person as a clerk, and
one person as a customer.
1. Write how many cents you give, and how many cents you get back in change.
2. Circle the coins you use to pay. Write how many cents is your change.
You gave:
a. You bought a drink for 55 c. Change: _________c
You gave:
f. You bought crayons
Change: _________c
for 63 c.
4. Now you buy many items. First add their prices to find the total. Then find the change.
Draw the coins that could be your change.
Change: 25 c
Change: ________c
Change: ________c
Change: ________c
Change: ________c
Count each
Count two fives
up → 20 c 25 c 26 c 27 c as a ten.
10 c 20 c 21 c
20 c 30 c 40 c 45 c 46 c 60 c 65 c 70 c
a.
b.
c. d.
e. f.
g.
h.
a. a twenty-cent and three ten-cent coins b. three twenty-cent and a ten-cent coin
c. four five-cent and four ten-cent coins d. a twenty-cent coin, a ten-cent coin,
and three two-cent coins
e. four two-cent coins, one one-cent coin f. three twenty-cent coins, two ten-cent coins
and eight ten cent coins and a one-cent coin
3. Cross out the coins you need to buy the item. Write how many cents you have left.
b. 92 c
a. 17 c c. 33 c
d. 58 c f. 95 c
e. 64 c
4. Find two ways to make these amounts. Use either real money, or draw.
a. 26 c 26 c b. 37 c 37 c
c. 43 c 43 c d. 53 c 53 c
e. 61 c 61 c f. 88 c 88 c
5. Remember €1 means 1 euro, which is 100 cents. How much more is needed to make €1?
a. b. c.
a. b. c.
d. e. f.
3. You bought an item. How much money will you have left?
a. You have: Bob bought a comb b. You have: Sue bought hairpins
for 29 cents. for 62 cents.
How much is left?
How much is left?
Use the “€” symbol in front of euro amounts. The whole euros and the cents
are separated by a decimal point.
a. €___________ b. €____________
c. €____________ d. €____________
e. €____________ f. €_____________
g. h.
€____________
€___________
a. €4.15 b. €_____________
c. €_____________ d. €_____________
e. €_____________ f. €_____________
If you don't have any euros, put a zero in the whole euro's place.
Notice also how 1 cent is written €0.01 so that the cents are written as “01”.
3. Write the cent amounts using the euro symbol and a decimal point. Remember the zero.
a. b. c.
d. e. f.
a. €1.32 b. €2.06
c. €0.28 d. €3.80
e. €0.08 f. €2.54
g. €7.04 h. €5.92
i. €6.80 j. €4.67
a. b.
c. d.
e. f.
g. h.
i. j.
a. b.
€___________ €___________
c. d.
€___________ €___________
1 1
1 1
€0 . 4 7
€ 0.34
€0 . 3 4 €0.47 €0.47 0.4 7
+ 0.6 9 + 0.3 4
€1.0 3 €1.2 8
€ 0.69 €0.34
Total cost € 1.03. Total cost € 1.28.
1. Add in columns.
a. €0.29 + € 0.56 b. €1.41 + €0.09 c. €0.77 + €2.24 + €1.80
€ . € . € .
+ . + . .
€ . € . + .
€ .
€0.34
€ 0.52
4. First find the total cost, and then the change. You can use real money or draw pictures to help.
a. €_____________ b. €____________
c. €_____________ d. €_____________
e. €_____________ f. €_____________
a. €__________ b. €__________
c. €__________ d. €__________
40 cents = €0.40
Remember to put 0 in the euro's place if there is
less than 100 cents. If there is less than 10 cents, 82 cents = €0.82
we also need a zero in the ten-cents place.
9 cents = €0.09
The pictures show how much money you have. Write how much you will have left
if you buy the things listed.
6.
If I buy: I will have left:
7.
If I buy: I will have left:
8.
If I buy: I will have left:
The change is
€0.34 Count up these coins.
from The change is
The customer gave €1 the price → €0.35 €0.40 €0.60 €0.80 €1.00 66 cents.
The change is
Count up these coins.
€0.69 from The change is
The customer gave €1 the price → €0.70 €0.80 €0.90 €1.00 31 cents.
a. €0.78
The customer Change: _______
gave €1
b. €0.65
The customer Change: _______
gave €1
c. €0.47
The customer Change: _______
gave €1
d. €0.52
The customer Change: _______
gave €1
a. €1.15
The customer gave €2 Change: __________
b. €2.30
The customer gave €2.50 Change: __________
c. €1.78
The customer gave €2 Change: __________
d. €2.32
The customer gave €3 Change: __________
3. Find the change. You can draw or use real money to help.
€0.__________ €0.__________
€0.__________ €0.__________
€0.__________ €0.__________
a.
Price: €0.76
The change is
The customer Count
€0.80 €1.00
gave €1 up → €0._________
b.
Price: €0.90
The change is
The customer Count
gave. €10 up → €1.00 €10.00 €________
c.
Price: €2.35
The change is
The customer Count
gave €5 up → €_________
d.
Price: €4.18
The change is
The customer Count
gave €10 up → €_________
e.
Price: €3.04
The change is
The customer Count
gave €10 up → €_________
a.
Price: €3.55
The change is
The customer
gave €5. €___________
b.
Price: €8.60
The change is
The customer
gave €10. €___________
c.
Price: €4.70
The change is
The customer
gave €10. €___________
d.
Price: €7.99
The change is
The customer
gave €10. €___________
e.
Price: €3.25
The change is
The customer
gave €5. €___________
f.
Price: €4.15
The change is
The customer
gave €10. €___________
You can add up to find the change. A toy costs €3.30. You give €10.
Another method is to first add up to the next whole First find how many cents
euro to find the cents. Then find the euro-amount by there are to the next
subtracting. whole euro: €3.30 + €0.70 = €4.
Again, you are finding the difference between the price Then find the difference between
and the money given, but you're finding that in two €4 and €10, which is €6.
parts.
The total change is €6.70.
4. Did these people receive the correct change? If not, correct it.
a. Margie bought a few items that cost €7.86. She paid with a 10 euro-bill.
She got back two euros, two 20-cent coins, and two 2-cent coins.
b. Fred bought a toy car for €2.76 and gave €5 for it. The clerk handed back
to him a 20-cent coin and a two-euro coin .
6. Fill in the missing cent-amount. You can use the “trick” explained above.
7. Find the change. Find also what coins and bills could be used to make the change.
a. A book cost €3.55. You gave €5. b. Pencils cost €2.88. You gave €5.
c. A shirt cost €7.76. You gave €10. d. Sunglasses cost €8.95. You gave €10.
e. A sandwich cost €4.26. You gave €5. f. Flowers cost €6.28. You gave €10.
If you get more than 100 cents, €0.70 + €0.70 €0.99 + €0.06
then those make another euro. = 140 cents = €1.40 = 105 cents = €1.05
1. Find the total cost of buying the things listed. Add mentally if you can.
€3.10
€1.50 €0.50
€1.00 €0.80
€1.90 €0.55
€2.20 €20
€35
a. scissors and pencils b. pen and glue c. crayons, glue, and pencils
Add up to find the change Price: €1.20. The customer gave €5.
First add up to the next whole ten cents. Price: €3.37. The customer gave €5.
Then add up to the next whole euro €3.37 €3.40 €4.00 €5.00
(if need be).
differences → €0.03 €0.60 €1
Then, add all the differences
to find the total change. Change: €1.63
a. Price: € 1.80. The customer gave €5. b. Price: €3.26. The customer gave €4.
c. Price: €2.19. The customer gave €5. d. Price: €0.82. The customer gave €5.
a. Price: €0.45. The customer gave €1. b. Price: €2.40. The customer gave €5.
Change: €_____________ Change: €_____________
c. Price: €3.15. The customer gave €3.50. d. Price: €4.36. The customer gave €5.
Change: €_____________ Change: €_____________
e. Price: €0.28. The customer gave €0.50. f. Price: €1.34. The customer gave €5.
Change: €_____________ Change: €_____________
g. Price: €2.29. The customer gave €2.50. h. Price: €3.58. The customer gave €3.75.
Change: €_____________ Change: €_____________
euros cents
1 1 1
€1 4. 0 5 Add euro and cent amounts in columns the same way as
2. 1 1 any other numbers. You can imagine that the decimal point is
+ 5 4. 9 5 not there while calculating. Just remember to put it in the answer!
€7 1.1 1
a. b. c. €2 . 9 9 d. €2 0 . 4 6 e. €1 2 . 9 9
€ 5.69 5.79 2.79 25.59
€2 . 2 4 7.50 1.40 5.62 41.80
+ 4.69 + 22.25 + 6.72 + 6.68 + 26.70
a. a skirt and a book bag b. a teddy bear, crayons, c. a pen and three
scissors, and two pens pairs of scissors
A bag costs €11.28. A customer paid The price was €5.65. A customer paid
with €20. What was his change? with €20 and got back €14.55.
Was that correct change?
Add up: Subtract: Add the price and the change:
+ €0.72 + €8 9 9
1 1 1
1 10 10 10
€2 0 . 0 0 € 5.6 5
€11.28 €12.00 €20.00 −1 1 . 2 8 +1 4 . 5 5
€ 8.7 2 €2 0 . 2 0
The difference is €8.72.
No, it was 20 cents too much.
a. + + b. + +
€10 – €2.66 €20 – €7.52
= €______ €2.66 €3.00 €10.00 = €______ €7.52 €8.00 €20.00
c. + + d. + +
€20 – €14.47 €50 – €28.33
= €______ _____ _____ _____ = €______ _____ _____ _____
4. Subtract.
a. €5 . 5 0 b. €10 . 9 0 c. €2 0 . 0 0 d. €1 0 . 0 0 e. €5 0 . 0 0
– 2.39 – 4.45 – 7.29 – 6.44 – 34.56
a. Mark bought two computer mice and paid b. Judy bought a book and a book bag.
with a €20-euro bill. She paid with €30. How many euros
What was his change? and cents did she receive in change?
c. Mark bought a microscope and paid d. Mark has €5.50 saved, and he wants to
with a €50-euro bill. He received buy a calculator and a book.
€14.10 as change. Was that correct? What is the total cost?
a. Dad bought a meal for €15.55 and a b. Dad paid with a €50 bill.
drink for €2.39 at a restaurant. What was his change?
What was his total bill?
c. You have saved €15, and you want to buy d. Melissa bought a book for €4.55, a
a toy for €22.95. How much do you still magazine for €2.30, and a pencil
need to save? for €0.85. Find her total bill.
f. Can Mom buy a jacket for €14.55 and a blouse for €23.95 with €40?
a. €______________
b. €______________
a. Maria has saved €23.00, and she wants to b. Arnold bought a sandwich for €2.55,
buy a game for €42.95. How much does soup for €2.30, and juice for €1.85.
she still need to save? Find his total bill.
a. You buy stickers for €2.35 and a notebook for €1.20. What is your total bill?
a. b. c.
10 c + 10 c = 20 c 21 c + 5 c = 26 c 40 c + 20 c = 60 c
11 c + 10 c = 21 c 24 c + 5 c = 29 c 53 c + 10 c = 63 c
13 c + 10 c = 23 c 25 c + 5 c = 30 c 55 c + 5 c = 60 c
15 c + 10 c = 25 c 20 c + 5 c = 25 c 56 c + 20 c = 76 c
16 c + 10 c = 26 c 27 c + 5 c = 32 c 58 c + 30 c = 88 c
Practicing Shopping, p. 13
1. a. 47 c = two 20 c, one 5 c, and one 2 c
b. 32 c = one 20 c, one 10 c, and one 2 c
c. 88 c = one 50 c, one 20 c, one 10 c, one 5 c, one 2 c, and one 1 c
2. a. 29 c = one 20 c, one 5 c, and one 2 c
b. 46 c = two 20 c, one 5 c, and one 1 c
c. 62 c = one 50 c, one 10 c, and one 2 c
d. 48 c = two 20 c, one 5 c, one 2 c, and one 1 c
e. 86 c = one 50 c, one 20 c, one 10 c, one 5 c, and one 1 c
f. 91 c = one 50 c, two 20 c, and one 1 c
3. a. 55 c b. 60 c c. 82 c d. 81 c
4. a. 1 c b. 18 c c. 10 c d. 13 c e. 18 c f. 23 c g. 21 c h. 2 c i. 38 c
Change, p. 15
1. a. 5 c b. 10 c c. 5 c d. 3 c e. 8 c f. 4 c g. 10 c h. 10 c
2. a. 5 c b. 7 c c. 4 c d. 2 c e. 5 c f. 2 c
3. a. 30 c b. 9 c c. 6 c d. 30 c e. 20 c f. 13 c
4. b. total 35 c; change 15 c c. total 16 c; change 4 c
d. total 15 c; change 5 c e. total 45 c; change 5 c
a. b. c.
92 c + 8 c = €1 70 c + 30 c = €1 40 c + 60 c = €1
80 c + 20 c = €1 74 c + 26 c = €1 33 c + 67 c = €1
79 c + 21 c = €1 64 c + 36 c = €1 45 c + 55 c = €1
50 c + 50 c = €1 58 c + 42 c = €1 31 c + 69 c = €1
Review - Coins, p. 21
1. a. 11 c b. 26 c c. 50 c d. 27 c e. 41 c f. 72 c
2. Check student's work. Answers may vary.
a. 52 c = one 50 c, one 2 c coin
b. 27 c = one 20 c, one 5 c, and one 2 c coin
c. 76 c = one 50 c, one 20 c, one 5 c, and one 1 c coin
d. 85 c = one 50 c, one 20 c, one 10 c, and one 5 c coin
e. 79 c = one 50 c, one 20 c, one 5 c, and two 2 c coin
f. 34 c = one 20 c, one 10 c, and two 2 c coin
3. a. 45 c b. 26 c
Euros, p. 22
1. a. €1.20 b. €5.06 c. €5.35 d. €2.26 e. €1.45 f. €5.46 g. €3.56 h. €3.69
2. a. €4.15 b. €7.21 c. €2.38 d. €2.50 e. €7.73 f. €9.61
3. a. €0.30 b. €0.02 c. €0.07 d. €0.50 e. €0.10 f. €0.21
4. Answers may vary; check the student's work.
a. €1.32 = one 1 euro, one 20 c, one 10 c, and one 2 c coins
b. €2.06 = one 2 euro, one 5 c, and one 1 c coins
c. €0.28 = one 20 c, one 5 c, one 2 c, and one 1 c coins
d. €3.80 = one 2 euro, one 1 euro, one 50 c, one 20 c, and one 10 c coins
e. €0.08 = one 5 c, one 2 c, and one 1 c coins
f. €2.54 = one 2 euro, one 50 c, and two 2 c coins
g. €7.04 = one 5 euro note, one 2 euro, and two 2 c coins
h. €5.92 = one 5 euro note, one 50 c, two 20 c, and one 2 c coins
i. €6.80 = one 5 euro note, one 1 euro, one 50 c, one 20 c, and one 10 c coins
j. €4.67 = two 2 euro, one 50 c, one 10 c, one 5 c, and one 2 c coins
Euros, Part 2 p. 29
1. a. €1.15 b. €5.16 c. €10.35 d. €6.26 e. €8.37 f. €13.46
Counting Change, p. 32
1. a. €0.78 plus one 2 c, and one 20 c = €1
b. €0.65 plus one 5 c, one 20 c, and one 10 c = €1
c. €0.47 plus one 2 c, one 1 c , and one 50 c = €1
d. €0.52 plus one 2 c, one 1 c, one 5 c, and two 20 c = €1
2. Answers may vary, check the student's work.
a. €1.15 plus one 5 c, and four 20 c = €2
b. €2.30 plus one 20 c = €2.50
c. €1.78 plus one 2 c, and one 20 c = €2
d. €2.32 plus four 2 c, one 10 c, and one 50 c = €3
3. a. €0.06 b. €0.12 c. €0.03 d. €0.20 e. €0.75 f. €0.15
Review, p. 45
1. a. €10.40 b. €7.56
2. a. €0.07 b. €1.73 c. €1.34
3. a. Maria still needs to save €19.95. b. Arnold's total amount owed is €6.70, and his change is €3.30.
4. a. My total amount owed is €3.55. b. My change is €1.45.
51