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Table Of Contents: Adding Subtracting Multiplying Dividing Time Fractions

Addition

Adding is Here 1 ball is added to 1 ball to make 2 balls:
bringing two or more numbers (or things) together to make a new total. Example: If you add 2 and 3 you get 5. You would write it like this: 2 + 3 = 5 Here 1 ball is added to 1 ball to make 2 balls: Using Numbers it is: 1 + 1 = 2 And in words it is: "One plus one equals two"

How to use Example: 3 + 5 Go down to the "3" row then along to the "5" column, and there is your answer! "8" + 1 2 3 4 5 6 7 8 9 10 11

+ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

11: 6 + 13 12: 12 + 23 13: 14 + 20 14: + 22 15: 7 + 11 6: 2 + 16 7: 5 + 20 8: 24 + 5 9: 23 + 15 10: 25 + 13

6: 24 + 18 7: 18 + 9 8: 2 + 19 9: 6 + 15 10: 15 + 17 11: 18 + 23 12: 13 + 18 13: 14 + 19 14: 19 + 12 15: 25 + 17 16: 17 + 9 17: 3 + 7 18: 6 + 17 19: 5 20: 15 + 18

Juan has 3 marbles. Walter has 3 marbles
Juan has 3 marbles. Walter has 3 marbles. If Walter gives all of his marbles to Juan, how many marbles will Juan have? show work in your notebook. Gloria has 3 erasers. Todd gives Gloria 6 more. How many erasers does Gloria have in all? Billy starts with 7 marbles. He finds another 9. How many marbles does Billy end with? Julia collects 8 eggs. Julia's father gives Julia 3 more. How many eggs does Julia have? Arthur collects 2 blocks. Arthur's father gives Arthur 7 more. How many blocks does Arthur have?

Mary has 19 erasers. She buys 8 more
Mary has 19 erasers. She buys 8 more. How many erasers does Mary have in all? Marvin has 52 eggs. Samuel has 2 eggs. If Samuel gives all of his eggs to Marvin, how many eggs will Marvin have? Jose starts with 2 erasers. He finds another 75. How many erasers does Jose end with? Brandon collects 9 pencils. Brandon's father gives Brandon 35 more. How many pencils does Brandon have? Doris has 2 blocks. Carol gives Doris 95 more. How many blocks does Doris have in all?

If there are 3 candies in a box and Ralph puts 61 more candies inside, how many candies are in the box? Marie collects 52 oranges. Marie's father gives Marie 9 more. How many oranges does Marie have? Richard has 7 pencils. Stephanie has 14 pencils. If Stephanie gives all of her pencils to Richard, how many pencils will Richard have? If there are 86 apples in a box and Anna puts 7 more apples inside, how many apples are in the box? If there are 5 marbles in a box and Michael puts 17 more marbles inside, how many marbles are in the box?

If there are 84 tickets in a box and Joshua puts 9 more tickets inside, how many tickets are in the box? Evelyn has 7 apples. Marvin has 25 apples. If Marvin gives all of his apples to Evelyn, how many apples will Evelyn have? Martin collects 50 crayons. Martin's father gives Martin 8 more. How many crayons does Martin have? Keith collects 50 blocks. Keith's father gives Keith 4 more. How many blocks does Keith have? Raymond starts with 97 blocks. Arthur gives Raymond 4 more. How many blocks does Raymond end with?

Arthur has 76 bananas. He finds another 81
Arthur has 76 bananas. He finds another 81. How many bananas does Arthur have in all? If there are 36 eggs in a box and Diana puts 89 more eggs inside, how many eggs are in the box? Wanda has 47 apples. She buys 25 more. How many apples does Wanda have in all? Frank has 13 candies. He gets 11 more from Adam. How many candies does Frank have in all? Anthony has 31 candies. Ann has 26 candies. If Ann gives all of her candies to Anthony, how many candies will Anthony have?

Larry starts with 25 candies. He gets 81 more from Diane
Larry starts with 25 candies. He gets 81 more from Diane. How many candies does Larry end with? Theresa has 98 candies. She gets 18 more from Irene. How many candies does Theresa have in all? Gloria has 14 cards. She gets 56 more from Harry. How many cards does Gloria have in all? There are 23 cards. 72 cards more are added. How many are there total? If there are 90 bottle caps in a box and Tammy puts 64 more bottle caps inside, how many bottle caps are in the box?

and then add one column at a time, like this:
Addition in Columns You can do addition by writing one number below the other and then add one column at a time, like this: (Practice on this Simple Column Addition Worksheets) And it works for bigger numbers, too: LONG ADDITION: But sometimes two-digit numbers can get in the way like this: THIS is how it should be done:

6: 15 + 16 7: 7 + 18 8: 16 + 19 9: 24 + 6 10: 14 11: 6 + 7 12: 15 + 17 13: 17 + 3 14: 8 + 22 15: 19 + 18 16: 18 + 8 17: 8 + 23 18: 16 + 24 19: + 17 20: + 9

Subtraction

If you have 5 apples and you subtract 2, you will be left with 3.
Subtraction Is ... taking one number away from another. If you have 5 apples and you subtract 2, you will be left with 3. This would be written: 5 - 2 = 3

6: 6 - 2 7: 7 8: 8 - 1 9: 10: 10 11: 8 - 8 12: 10 - 7 13: 2 - 1 14: 15: 9 - 2 16: 6 - 3 17: 9 - 5 18: 4 - 2 19: 10 - 4 20: - 9

1: 25 - 20 2: - 14 3: 22 - 2 4: 4 - 4 5: 15 - 15 6: 14 - 3 7: 17 - 5 8: 19 9: - 2 10: 25 11: 19 - 18 12: 18 - 4 13: 3 - 1 14: 5 15: 24 - 14

1: 22 - 3 2: 20 - 6 3: 24 - 16 4: 23 - 5 5: - 15 6: 16 - 9 7: 20 - 4 8: 21 - 8 9: - 11 10: 12 - 3 11: 10 - 2 12: 24 - 5 13: 20 - 19 14: 21 - 17 15: 22 - 14

1: 21 - 9 2: 11 - 3 3: 16 - 7 4: - 19 5: 10 6: 10 - 6 7: 21 - 4 8: 13 9: - 3 10: 15 - 7 11: 15 - 6 12: - 9 13: 22 - 18 14: 12 - 4 15: 24 - 19

Theresa removes 25 crayons from a jar
Theresa removes 25 crayons from a jar. There were originally 66 crayons in the jar. How many crayons are left in the jar? Tina has 30 Skittles. She shares 30 with Phillip. How many Skittles will Tina have? Emily starts with 97 pencils. She gives 25 to Kathryn. How many pencils does Emily end with? Carolyn has 38 apples. She gives 4 to Peter. How many apples will Carolyn have? Andrea starts with 37 eggs. She shares 4 with Carol. How many eggs does Andrea end with?

Marie weighs 16 pounds. Shawn weighs 9 pounds
Marie weighs 16 pounds. Shawn weighs 9 pounds. How much heavier is Marie than Shawn? Carolyn has 96 tickets. 6 are eaten by a hippopotamus. How many tickets will Carolyn have? Christine has 38 peanuts. She shares 9 with Robert. How many peanuts will Christine have? Fred removes 2 candies from a jar. There were originally 20 candies in the jar. How many candies are left in the jar? Kathleen has 27 apples. She shares 8 with Denise. How many apples will Kathleen have?

There are 54 bottle caps in a box. Eugene takes 16 bottle caps
There are 54 bottle caps in a box. Eugene takes 16 bottle caps. How many are left? Marilyn has 93 erasers. 78 are eaten by a hippopotamus. How many erasers will Marilyn have? Joyce has 88 erasers. She loses 44. How many erasers will Joyce have? Martin starts with 94 bananas. 32 are eaten by a hippopotamus. How many bananas does Martin end with? Christopher removes 50 blocks from a jar. There were originally 95 blocks in the jar. How many blocks are left in the jar?

Julia starts with 92 peanuts. She loses 81
Julia starts with 92 peanuts. She loses 81. How many peanuts does Julia end with? There are 71 bottle caps in a box. Albert takes 47 bottle caps. How many are left? Jane weighs 93 pounds. Antonio weighs 42 pounds. How much heavier is Jane than Antonio? Christopher has 97 stickers. He gives 25 to Fred. How many stickers will Christopher have? There are 95 oranges in a box. Ernest takes 53 oranges. How many are left?

Bridget weighs 74 pounds. Evelyn weighs 5 pounds
Bridget weighs 74 pounds. Evelyn weighs 5 pounds. How much heavier is Bridget than Evelyn? Louise weighs 77 pounds. Daniel weighs 75 pounds. How much heavier is Louise than Daniel? Roy removes 2 tickets from a jar. There were originally 86 tickets in the jar. How many tickets are left in the jar? Elizabeth starts with 70 cards. 4 are eaten by a hippopotamus. How many cards does Elizabeth end with? Phyllis weighs 92 pounds. Ryan weighs 5 pounds. How much heavier is Phyllis than Ryan?

There are 31 blocks in a box. Juan takes 5 blocks. How many are left?
Gary removes 45 crayons from a jar. There were originally 84 crayons in the jar. How many crayons are left in the jar? Cynthia weighs 85 pounds. Gerald weighs 62 pounds. How much heavier is Cynthia than Gerald? There are 76 bottle caps in a box. Julia takes 73 bottle caps. How many are left? Raymond has 71 crayons. He loses 23. How many crayons will Raymond have?

Thomas removes 22 bottle caps from a jar
Thomas removes 22 bottle caps from a jar. There were originally 50 bottle caps in the jar. How many bottle caps are left in the jar? Tina starts with 57 marbles. Jean takes 50 away. How many marbles does Tina end with? Gary removes 28 stickers from a jar. There were originally 94 stickers in the jar. How many stickers are left in the jar? Lori weighs 86 pounds. Christopher weighs 68 pounds. How much heavier is Lori than Christopher? Samuel has 51 erasers. He gives 24 to Paula. How many erasers will Samuel have?

Multiplication

Let's see what's really going on when we multiply two numbers
This means that you have two groups of 3! Put the two groups together... How many triangles do you have? Count them... One, two, three, four, five, six! So, our answer is:

This means that you have three groups of 2!
Put the three groups together... How many squares do you have? Count them... One, two, three, four, five, six! So, our answer is: Hey, that's the same answer we got with 2 x 3! But, we put the six together a different way. Look at them both again to see the difference! Write what you notice in you notebook.

This means that you have three groups of 5!
Put the three groups together... How many pentagons do you have? Count them... Wow, that's a lot! I see 15! So, our answer is:

This means that you have five groups of 3!
Let's switch the numbers around and do it the different way! This means that you have five groups of 3! Put the five groups together... How many purple circles do you have? Count them... Yep, we get 15 again! Cool!

Now, put the groups together... and count!
OK, are you ready to try some yourself? Get some purple, blue, green and red crayons (or markers) and let's go! Use the colors the same way I did. I'll give you hints along the way. I'm going to use triangles for mine! Remember, that this means that you have two groups of 4! When you're done making your groups, you can check your answer. Now, put the groups together... and count!

= what multiplication problem?

Write the answers in your notebook.
Twos Times Tables: 2x1 & 2x2 2x3 & 2x4 2x5 & 2x6 2x7 & 2x8 2x9 & 2x10 2x11 & 2x12 Threes Times Tables: 3x1 & 3x2 3x3 & 3x4 3x5 & 3x6 3x7 & 3x8 3x9 & 3x10 3x11 & 3x12 Fours Times Tables: 4x1 & 4x2 4x3 & 4x4 4x5 & 4x6 4x7 & 4x8 4x9 & 4x10 4x11 & 4x12 Fives Times Tables: 5x1 & 5x2 5x3 & 5x4 5x5 & 5x6 5x7 & 5x8 5x9 & 5x10 5x11 & 5x12 Sixes Times Tables: 6x1 & 6x2 6x3 & 6x4 6x5 & 6x6 6x7 & 6x8 6x9 & 6x10 6x11 & 6x12 Sevens Times Tables: 7x1 & 7x2 7x3 & 7x4 7x5 & 7x6 7x7 & 7x8 7x9 & 7x10 7x11 & 7x12 Eights Times Tables: 8x1 & 8x2 8x3 & 8x4 8x5 & 8x6 8x7 & 8x8 8x9 & 8x10 8x11 & 8x12 Nines Times Tables: 9x1 & 9x2 9x3 & 9x4 9x5 & 9x6 9x7 & 9x8 9x9 & 9x10 9x11 & 9x12 Tens Times Tables: 10x1 & 10x2 10x3 & 10x4 10x5 & 10x6 10x7 & 10x8 10x9 & 10x10 10x11 & 10x12 Use this to practice* Write the answers in your notebook.

add the number to itself (example 2×9 = 9+9) 5
to multiply by Trick 2 add the number to itself (example 2×9 = 9+9) 5 The last digit always goes 5,0,5,0,.., is always half of 10× (Example: 5x6 = half of 10x6 = half of 60 = 30) is half the number times 10 (Example: 5x6 = 10x3 = 30) 6 if you multiply 6 by an even number, they both end in the same digit. Example: 6×2=12, 6×4=24, 6×6=36, etc 9 is 10× the number minus the number. Example: 9×6 = 10×6 - 6 = 60-6 = 54 The last digit always goes 9,8,7,6, .. if you add the answer's digits together, you get 9. Example: 9×5=45 and 4+5=9. (But not with 9×11=99) 10 put a zero after it 11 up to 9x11: just repeat the digit (Example: 4x11 = 44) for 10x11 to 18x11: write the sum of the digits between the digits (Example: 15x11 = 1(1+5)5 = 165) Note: this works for any two-digit number, but if the sum of the digits is more than 9, you will have to "carry the one". 12 is 10× plus 2×

× 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20 22 24 15 21 27 30 33 36 28 32 40 44 48 25 35 45 50 55 60 42 54 66 72 49 56 63 70 77 84 64 80 88 96 81 90 99 108 100 110 120 121 132 144

16: 6 × 9 17: × 5 18: 10 19: × 8 20: 3 11: 9 × 7 12: 7 13: 2 × 5 14: × 9 15: 3 6: 8 × 9 7: 4 × 5 8: × 2 9: 9 × 4 10: 6

1: 3 × 5 2: 11 × 9 3: 9 × 11 4: 12 × 3 5: × 2 6: 10 × 10 7: 4 × 5 8: 5 × 3 9: 10: 6 11: 11 × 8 12: 8 13: × 9 14: 2 × 5 15: 9 × 10 16: 3 × 8 17: 7 × 10 18: × 6 19: 12 20: × 9

It is too hard to put the whole table into your memory at once
It is too hard to put the whole table into your memory at once. So, learn it in "chunks" ... And you will know your 10 Times Table! A A:Start by learning the 5 times table. B B:Then learn up to 9 times 5. C C:Is the same as B, except the questions are the other way around. Learn it too. D D:Lastly learn the "6×6 to 9×9" chunk Then bring it all together by practicing the whole "10 Times Table"

Let us say we want to multiply 612 × 24
Long Multiplication Long Multiplication is a special method for multiplying larger numbers. It is a way to multiply numbers larger than 10 that only needs your knowledge of the ten times Multiplication Table. Let us say we want to multiply 612 × 24 First we multiply 612 × 4 (=2,448), then we multiply 612 × 20 (=12,240), and last we add them together (2,448+12,240=14,688). But we can do better! When we multiply 612 × 20 we only need to multiply 612 × 2 and place the result one column over (so it is the same as multiplying by 20). We just have to be careful about lining up the columns. Here is how to do it (press the play button): If you want to, you can put a zero where the space is, and you would have: More Than Two Digits The same idea works when multiplying by more than two digit numbers. You just have to move over more spaces: Have a try yourself with these Long Multiplication Worksheets Multiplication Tables

1: 17 × 20 2: 19 × 16 3: 20 × 17 4: 14 × 19 5: 10 × 13 6: 11 × 11 7: 11 × 10 8: 19 × 11 9: 13 × 11 10: 14 × 14 11: 20 × 15 12: 13 × 15 13: 19 × 20 14: 13 × 10 15: 20 × 10

10 × 14 2: 13 × 16 3: 10 × 16 4: 18 × 12 5: 13 × 18 6: 13 × 11 7: 11 × 16 8: 16 × 19 9: 17 × 10 10: 16 × 20 11: 15 × 15 12: 20 × 16 13: 14 × 16 14: 15 × 11 15: 16 × 18

Rose has 7 boxes of pencils. Each box holds 5 pencils
Rose has 7 boxes of pencils. Each box holds 5 pencils. How many pencils does Rose have? There are 7 cards in each box. How many cards are in 3 boxes? Kathy went to the store 3 times last month. She buys 5 oranges each time she goes to the store. How many oranges did Kathy buy last month? A ticket costs $8.00. How much do 6 tickets cost? A apple costs $4.00. How much do 9 apples cost?

Anna went to the store 8 times last month
Anna went to the store 8 times last month. She buys 5 eggs each time she goes to the store. How many eggs did Anna buy last month? Paul went to the store 7 times last month. He buys 2 candies each time he goes to the store. How many candies did Paul buy last month? Each child has 9 Skittles. If there are 3 children, how many Skittles are there in total? There are 3 candies in each box. How many candies are in 3 boxes? Theresa has 3 boxs of erasers. Each box holds 6 erasers. How many erasers does Theresa have?

Patricia went to the store 8 times last month
Patricia went to the store 8 times last month. She buys 9 bananas each time she goes to the store. How many bananas did Patricia buy last month? Each child has 3 blocks. If there are 2 children, how many blocks are there in total? A candy costs $7.00. How much do 8 candies cost? Gerald has 8 boxs of peanuts. Each box holds 7 peanuts. How many peanuts does Gerald have?

A card costs $3.00. How much do 9 cards cost?
A ticket costs $6.00. How much do 5 tickets cost? A candy costs $7.00. How much do 8 candies cost? There are 9 oranges in each box. How many oranges are in 5 boxes?

Division

Example: there are 12 chocolates, and 3 friends want to share them,
Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? Answer: 12 divided by 3 is 4: they get 4 each. 12 Chocolates 12 Chocolates Divided by 3

Division is the opposite of multiplying
Division is the opposite of multiplying. If you know a multiplication fact you can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also 15 / 3 = 5. Why? Well it is easy to understand if you think of the numbers in rows Here is an example Multiplication... ...Division 3 groups of 5 make 15... so 15 divided by 3 is 5 and also: 5 groups of 3 make 15... so 15 divided by 5 is 3.

Solve: 12÷3= _____*_______= 8÷2= _____*_______= 3 ways to draw the division symbol are… 1) 2) 3) BONUS: Label all of the parts on the calculator. TEST PRACTICE: Make a 20 question quiz and make an answer key to practice. Don’t forget to Use key words!

Write what the division problem is equal to below IN YOUR NOTEBOOK!
Use the following format Division problem Multiplication problem its = to Addition problem its = to *do the same for the other pages*

ADVANCED Name 3 multiples of 7: Name 5 multiples of 4:
CAN YOU ANSWER THIS… *3=

Telling Time

Digital Clocks show us the time using numbers
Digital Clocks show us the time using numbers. The number on the left of the : is Hours, and the number on the right is Minutes: 5 Hours and 8 Minutes 9 Hours and 36 Minutes

Clocks can also use hands to show us the Hours and Minutes
Clocks can also use hands to show us the Hours and Minutes. We call them "analog" clocks. The Little Hand shows the Hours: 2 Hours 5 Hours

15 Minutes or Quarter-Past
The Big Hand shows the Minutes: 30 Minutes or Half-Past 15 Minutes or Quarter-Past

Using both the Big Hand and Little Hand lets us know exactly what time it is:
2:30 or Half-Past Two 5:15 or Quarter-Past Five

1: 6:00 2: 1:00 3: 8:00 4: 10:00 5: 4:00 6: 9:00 7: 2:00 8: 11:00

1: 12:00 2: 2:00 3: 11:00 4: 1:00 5: 10:00 6: 5:00 7: 8:00 8: 7:00

12: : :23 7: : :45 ADVANCED: Half Past Four is (draw it below) ***Patty left her house at 7pm for a sleepover at came back home at 12am the next day. How long was she gone?***

Fractions

A fraction is a part of something
Let's do some counting... How many hexagons are here? But, what if there was just part of a hexagon? How would we count it? We'll use fractions! There are 5 Now there are 4 of the 5 hexagons So 4/5 ***example on next page***

We read this like "one sixth."
Let's break the hexagon into 6 equal pieces: What if we just had one of the pieces? That would be 1 piece out of 6 pieces. Right? So 1/6? Here's how we write it: We read this like "one sixth."

How much of this hexagon is red?
5 pieces are red... out of 6 total pieces... So, of the hexagon is red. How much is blue? 1 blue piece... out of 6... of the hexagon is blue.

Break it apart: Break it apart: Check out this square:
How much is red? Answer in your notebook. Break it apart: Check out this rectangle: How much is yellow? Answer that in you notebook too. Break it apart:

Numerator Denominator
The numerator: States how much is being shaded, taken away, ext. Numerator Denominator The Denominator: sates how many there are. YIKES!!!

Alan had 6 books. He read 2 books last week
Alan had 6 books. He read 2 books last week. What is the fraction of books that Alan has read? Name: Work Space: Answer: _________________________ Eric has 4 apples. He ate 1 apple lunch time. What is the fraction of apples Eric ate? Amanda has $20. She wants to buy a book that costs $10. What fraction of her money she needs to spend to buy the book? Name: Work Space: Answer: _________________________$.

What Fraction does this show??? What fraction of the shape is yellow?
Alan ate half an orange. Anna ate half the tomato. Anna ate half a toast.

Draw a line to show half.

1,Color the apples to show fraction:
2, Color snowman to show fraction: 3, Color blocks to show fraction: 4, Color circles to show fraction: 5, Color circles to show fraction: 1 _ 3

TIP: Try drawing shape by shape rather than drawing the entire thing all at once

Check out these circles:
Check out these circles: Ask yourself ??? How can this be possible? Both? and The first one says that is red and the second one says that is red... But, the same amount is red on both circles!How? So, must be the same amount as . In other words:

These are called equivalent fractions. (Since they are equal amounts.)
Look at another one: The same amount is green on both so So this must mean that:

So are these equal? Write what you think in your notebook. and
What two equivalent fractions do you see here? So are these equal? Write what you think in your notebook. and and

Equivalent Fractions Write the/an equivalent fraction ½ = 4/4= 2/4= 3/6= 6/7= 2/5= ¼= 7/8= 9/10= Solve: ½ + ½ = 2/4 + 2/4 = Advanced Problems: 2/3 + 2/3= A fraction is also known as a ________ problem. Shade in 4/8 How did you do that? Name two ways do fill it in.

When you make a math dictionary use key terms your teacher instructs such as some in this textbook.
Don’t forget to make it colorful because that counts 

You may write here but this is the only part!

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