6-6 Multiply multi-digit numbers

Listen to Lucky's Voki explain how to solve number one.

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Number two
293
x 5

First step
Draw and arrow from 5 to 3. Now multiply 5 times 3. You'll get 15. Write the 5 on the bottom and regroup the 1 over the 9.
Second step
Draw and arrow from the 5 to the 9. Now multiply 5 times 9. You'll bet 45 BUT you also have to add the regrouped 1, to give you 46. Write the 6 on the bottom and regroup the 4 over the 2.
Third step
Draw and arrow from the 5 to the 2. Now multiply 5 times 2. You'll get 10 BUT you also have to add the regrouped 4, to give you 14. Write the 14 on the bottom. We're done, so there is no need to regroup.

Your product is...... 1,465

10-2 Reteach Lines, Line Segments, and Rays

Listen to Lydia's Voki explain how to solve number one on your homework.



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I'll walk you through solving number two. I see only one line, which means that it's either a line, line segment, or a ray.

After looking at the pictures, we can see that number two is a line segment. It ends in two dots (enpoints)

11-6 Meausre Area Reteach

Watch and Listen to Kameron's Voki walk you through the steps to solve number one on your homework.

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HELPFUL HINT
Area = multiplication (2 sides)
Perimeter = add (all sides)

For number two, they've given you a grey rectangle.
To find the length, count the number of boxes across the top.
You'll find that there are 5.
To find the width, count the number of boxes going down the side.
You'll find that there are 2.
Remember, to find the area, you multiply the length by the width.
This gives you the multiplication problem of 5 x 2
5 x 2 = 10
So the area is 10 square units

11-5 Reteach Measure Perimeter

Watch Joshadrin's Voki explain how to do number 1 on today's homework.

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Don't forget
Perimeter = Add all of the sides

Multiply by Two-Digit Numbers Reteach 3.7

Listen to Jakayla's Voki explain how to go through number 1 on your homework. If it talks too fast you can pause it or listen to it again.

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I'll walk you through solving number 2.
68 times 24
Make sure you draw arrows to help you remember what you are doing.

Step 1:
4 times 8
4x8 = 32
Write the 2 under the problem and regroup(carry) the 3.

Step 2:
4 times 6
4x6 = 24
Don't forget to add the regrouped number, 3
24 plus 3
24+3 = 27
Write 27 under the problem

This gives the first row an answer of 272

Step 3:
Skip down, under 272, write a zero

Step 4:
Multiply 2 times 8
2x8 = 16
Write the 6 under the 7, and regroup(carry) the 1 over the 6 (make sure that you crossed out the 3 from the previous regrouping.

Step 5:
Multiply 2 times 6
2x6 = 12
Don't forget to add the regrouped number (1)
12 plus 1
12+1 = 13
Write the 13 under the first row.

This gives our second row a total of 1,360

Step 6:
Add the first row and the second row
272 plus 1,360

272
+1360

TOTAL 1,632

Multiply by two digit numbers R6-6

Watch Heidi's Voki explain how to solve number one on your homework.

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Now I'll explain how to do number two.
First we need to multiply
3x3
The answer is 9, so write a 9 in the first box.
Now let's multiply the 3 times the other three (its in the tens place on top)
3 x 3 is 9, so write a 9 in the second box.

Now we need to hop over and multiply the 2, but before we multiply we need to hop down to the second row of boxes and write a zero in the first box.
ok
Now multiply the 2 times the 3 on top (in the ones place)
2x3 is 6
Write the 6 in the second box on the bottom.
Now multiply the 2 again times the 3 on top (this time the one in the tens place)
2x3 is 6
Write a 6 in the third box on the bottom.

Now that we are finished multiplying, we need to add the two numbers in the boxes.
99 plus 660

Our total answer is 759.

Multiplying By Multiples of Ten R6-5

Watch Andres' Voki tell you how to solve number one on the homework.


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I will now walk you through solving number two.
42x30
Remember to ignore the zero, we can always put it at the end of the answer.
So this leaves us with
42
x 3

3 times 2 is 6

42
x 3
6

3 times 4 is 12

42
x 3
126

Now we add the zero to the end and ger
1,260 as our answer!

Mental Math R 5-1

Multiplying with Multiples of 10
Listen to the wizard explain how to do number one.


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I'll walk you through number two.
5x3
That shouldn't take you very long, it's an easy one!
15
:)

5x30
If we see a zero like that, we can ignore it for now, and just add it to the back of the answer at the end.
If we ignore the zero, we are left with 5x3, which we just did and found out was 15.
When we put the zero on the end we have an answer of 150.

500x300
Lots of zeros here! Four to be exact. If we ignore all four of them, we have to remember to add four to the end of the answer.
We again are left with 5x3, which is still 15.
But when we add the four zeros onto the end we get an answer of 150,000.

14-1 Problem Solving

YAY WORD PROBLEMS AGAIN!
Basically, all you need to do is find the fraction/decimal in word form, and then write it into either a fraction or decimal, depending on what the question is asking for.

Hundreds Tens Ones . Tenths Hundredths

#1) Three-tenths - They want it written in decimal form.
.3

#2) Half - They want it in both fraction and decimal form.
1/2 and .5

#3) Nine-Hundredths - They want it in decimal form.
.09

8-1 Problem Solving

AHHHH Word Problems!!!

#1 There are 20 members and 47 posters. They even told you what to do when they said 'divide'!
We haven't done two digit division yet, BUT, you can still walk through this one.
COunt by 20's until you get to 47 without going over.
20, 40, 60...Stop at 40 because 60 is too big. That took us 2 counts to get to 40. Now write a 40 underneath the 47 and subtract, you should get 7. We can't count by 20's to get to 7, because 20 is too big. So there are 7 remainders. The final count will be that each member will get 2 posters and there will be 7 posters left over.

#2 SAME AS #1!
There are 43 members and they need to be DIVIDED into groups of 10. Let's count by 10's until we get to 43 or close to it without going over.
10, 20, 30, 40, 50...Stop at 40 because 50 is too big! That too us 4 counts. Write the 40 underneath the 43 and subtract. You should get 3 left over, because you cannot count by 10's to get to 3. SOOOO There will be 4 groups with 3 people extra.

#3 SAME AS #1 AND#2!
There are 20 members and they each need to do the same number of reports. If there are 53 reports we need to DIVIDE them equally among the members. Let's count by 20's until we get to 53 or close to it without going over.
20, 40, 60....Stop at 40 because 60 is too big! That too 2 counts. Now write 40 underneath 53 and subtract. You should get 13. This means that each member will do 2 reports with 13 extras!

8-5 Two-Digit Quotients

Don't forget that QUOTIENT is the answer to a division problem.

I've added a picture walk-through from tutorvista.com to solve a division problem.

8-2 Divide multiples of 10, 100, and 1,000

This idea really only needs you to know your basic multiplication facts, the rest if just adding zeros.

#1) 300 divided by 6.
I want you to draw a line cutting the number 300 into two pieces; 30 and 0. Now that we've narrowed things down, let's count by 6's until we get to thirty. 6, 12, 18, 24, 30. That took us 5 times. Write a 5 above the thirty, and the number 30 underneath. Don't forget to subtract the 30 and 30. That's easy, you get 0. Now that poor other zero is there all by himself. You can't count by 6's until you get to 0, that's silly. Think of it this way, 3 times what gives you 0? 0! So write that 0 on top as well. And you get an answer of 50.

#16) The input output table
The directions for this one tells us to divide by 5. The first input number is 1,500. According to the directions, we need to divide 1,500 by 5. Draw this with the 1,500 under the house and the 5 outside the front door. I sure hope you understand what that means. Now draw a line cutting 1,500 into two pieces; 15 and 00. Super easy now. Count by 5's until you get to 15. 3! Add in your filler zeros above the other two, giving you the answer 300!

#17)61 divided by 3.
Re-write this problem with the 61 inside the house and the 3 outside. Now cut the 61 in half with a line. Super easy now! Count by 3's until you get to 6. 3, 6. That took us 2 times. So write a 2 above the 6, and the 6 below the 6. Now subtract the 6 and 6. We get Zero. BUT! That poor 1 is all by himself. Bring him down, now let's count by 6's until we get to 1. Uh-oh, can't do it. Now listen very carefully. You HAVE to put a 0 above the 1, because we can't leave that place value empty. So far we now have 20 as our answer, but that pesky left over 1 needs to be a remainder. So your final answer is 20 r1

8-1 Division with Remainders

*Note: you can solve these on a seperate sheet of paper. You might find yourself running out of room on the homework sheet.
**Note: #17-22 involve double digit multiplication. We have not learned this skill yet. You may skip it if you'd like, or you can use a calculator to solve it.

Oh yes, that dreaded division. :)

We have to know our multiplication facts in order to do this properly.

Step by Step of the above problem. We are solving 10 divided by 3. Sing your three's until you get as close to 10 as possible without going over. 3, 6, 9. We stop there because if we kept going the next number would have been 12, and that's too much. So we write a 3 on top and a 9 underneath. You will then subtract the 10 and 9, giving you 1. Now you can't sing your three's until you get to 1, that's just silly. You now have the answer, 3 with a remainder of 1.

Let's try some on the homework.

#1) 56 divided by 6.

Sing your 6's until you get as close to 56 as you can. 6, 12, 18, 24, 30, 36, 42, 48, 54. We stop there because if we kept going the next number would have been 60, and that's too big. Write a 9 on top and a 54 underneath. Subtract 56 and 54. You will get 2. Now you can't count by 6's until you get to 2, that's just silly. So you'll have that 2 as a remainder. Your answer 9 r2

5-6 Multiplication and Division Expressions

Make sure you know your multiplication facts!

For #1-9, Remember that j = 12 and k = 6

#1) j / 3 ___
We know that j = 12, so we will now solve 12 / 3. Sing or count by 3's until you get to 12.
3, 6, 9, 12. That took us four times to get to 12. So the answer to j / 3 is 12

#4) 5 x k
We know that k = 6, so we will no solve 5 x 6. Count by 5's until you get to your fifth finger.
5, 10, 15, 20, 25, 30. The answer to 5 x k = 30

#7) 5 x (j /4)
We know that j = 12. We know to always do what is inside parenthesis first. So let's solve j/4, or 12/4. Sing or count by 4's until you get to 12.
4, 8, 12. We now see that 12/4 =3.
Now for the second step. Bring down 5 x, to make 5 x 3.
This should be fairly easy. 5 x 3 = 15

5-2 Solve Equations Mentally

To find the missing variable you need to do mental math. If you are dealing with an addition problem, subtract the number given with the answer. This will give you the variable. If you are dealing with a subtraction problem you will need to count backwards from the number given to the answer to find the variable.

#1) 3 + d = 11
Since you have an addition problem, you can easily subtract the two numbers. 11 - 3 = 8.
So d = 8

#2) 15 - r = 2
Since you have a subtraction problem, I need you to visualize the number 15. Start counting backwards and put up one finger for each number you say, until you say the number 2. Like this 14 (put up 1 finger), 13 (put up 2 fingers), 12 (put up 3 fingers), 11(put up 4 fingers), 10(put up 5 fingers), 9(put up 6 fingers), 8(put up 7 fingers), 7(put up 8 fingers), 6(put up 9 fingers), 5(put up 10 fingers)....uh-oh, we aren't to 2 yet, remember that we got to 10 ok? And start over with your fingers... 4 (put up 1 finger), 3(put up 2 fingers), 2(put up 3 fingers)...whew! Remember how we already got to 10 fingers then put up 3 more.....10+3 = 13......
So r = 13

But the finger subtraction only works if the missing variable comes second in the equation. What if it comes first? Look at #6

#6) 9 = w - 12
I hate looking at problems with the answer first, so I'll just scoot the =9 to the other side
w - 12 = 9
We cannot use the counting backwards method for this or you'll get a tiny number to put first in a subtraction problem, which we all know is a no-no.
Instead, I want you to add the two numbers given to you. 12+9 = 21
So w=21

So basically:
All addition problems with a missing variable will be solved by subtracting the two numbers given, regardless of the placement of the missing variable.
A subtraction problem with the missing variable first can be solved by adding the two numbers given.
A subtraction problem with the missing variable second can be solved by counting backwards from the given variable to the answer.

Problem-Solving Strategy: Make a Table

#1 Rosa knits sweaters to sell. Each sweater takes 4 balls of yarn. How many balls of yarn will she use if she makes 23 sweaters? This is a simple multiplication problem. 23 x 4



#2 You will need to use the answer from #1 to help you solve this problem. The first thing you need to find, is the total amount of money Rosa will earn if she sells 23 sweaters for $35. That is 23 x 35. You can use a calculator to find that product. You will see That if Rosa didn't have to buy yar, she would have made a profit of $805. But in the real world, Rosa had to buy yarn. According to problem #1, Rosa needed to buy 92 balls of yarn (shhh yes I know I just told you the answer to number 1), and this problem told us that each ball of yarn cost Rosa $6. That's 92 x 6. That means that Rosa had to spend $552 on yarn. Now you need to take the number she would have made if yarn was free, and subtract the amount she spent at the store to find her earnings. 805 - 552



#3 This is one doozy of a question! Follow me very closely...

Step 1 - Divide the total he made selling portraits by the amount he's selling each one for

180 / 15 You can use a calculator here. He sold 12 portraits.

Step 2 - For every 7 pictures he takes, he has one portrait, so now we need to multiply 12 x 7

That will give you the answer to this problem.



#4 This is a two step problem. If Hannah practices 12 times a day for 5 days, you will need to multiply 12 x 5 to find out how many times total she practices. She practices 60 times in a 5 day week. If she pracitces for 4 weeks, how many times will she practice total? You need to multiply her 60 times by the 4 weeks. 60 x 4



For numbers 5 and 6

Please put the numbers in order from least to greatest. Remember that mode is the number you see the most, median is the middle number, and the outliers are found when you subtract the first two numbers and the last two numbers. If you need a refresher, scroll down to the blog post about median, mode, and outliers.



:)

Probability

For numbers 1-5, you will use the spinner at the top of the page, and the answers can be either certain, likely, equally likely, unlikely, or impossible.

Certain - It will always land there
Likely - There are a lot of that choice, so it will land there more often
Equally Likely - There is the same number of that choice as there are of ther others
Unlikely - There are not many of that choice, so you won't land on it that often
Impossible - There are no options for that choice, you will never land on it

#1 what is the probability of spinning an even number? There are 3 even numbers and 3 odd numbers, so if there is the same number of options, which probability word will you choose?

#2 what is the probability that you will land on a 2? There is one 2 on the spinner, there aren't a lot of 2's on the spinner.

#3 Spinning a 4, 5, or 6? They are asking for how often the spinner will land on those three numbers, that leaves three left over. Seems to me that you have the same chance that it will land on a 4, 5, or 6.

#4 Spinning a 7? If you look at the spinner, there are no 7's. You will never land on a 7.

#5 Spinning a 1, 2, 3, 4, 5, 6? That's all that is on the spinner, so you will always land on one of those numbers won't you?


Word Problem
#6 Jorge needs meat! He has 2 pastas, 3 rice, and 5 meats. It isn't certain that he picks meat, if that were the case everything would be meat. It isn't impossible to pick meat, because he has some. It isn't equally likely that he pick meat because there isn't exactly 5 of one other choice. So it's either unlikely, or likely. Likely means he's got more meat that any other food, and unlikely means he has less meat than any other food....
Now that I've narrowed it down for you, what do you think?

#7 Don't trust the drawing. Make a Tree diagram and pick the three shapes to start with, then your options will be the same three shapes. Doesn't make sense does it? That's because you're still looking at the picture!

_______Circle
Circle___Pentagon
_______Trianlge

________Circle
Pentagon__Pentagon
________Triangle

_______Circle
Triangle_Pentagon
_______Triangle

Now how many outcomes did you make?

Determine Possible Outcomes

Today you will be finding all of the possible combinations/outcomes.

#1 You need to find all of the combinations and outcomes for jackets and shoes. The chart gave us a white, black, and green jacket, and black, tan, and white shoes.
The directions ask you to make a tree diagram, you can also use a t-chart.

To make a t chart we need to pick one jacket color to focus on first. Let's pick white. Next to white, we will write the colors of the shoes.

White - Black
White - Tan
White - White

You will repeat this for each jacket color.

Black - Black Green - Black
Black - Tan Green - Tan
Black - White Green - White

Now find all of your color combinations. That number is the total possible outcome for this problem.

If you want to write it in a tree diagram you will essentially do the same thing. First, write each color jacket. Then draw three lines off of each jacket color. At the end of these lines you will write the shoe color. Lastly, you will write the actual combination you made. :)

_______Black WB
White __Tan WT
_______White WW

_______Black BB
Black __Tan BT
_______White BW

________Black GB
Green __Tan GT
________White GW

The two letter combinations represent your total possible outcomes.




Spiral Review:

#2 Two movie tickets cost $18 dollars(expensive right? that's why I don't go to the movies anymore). Thea and 3 friends want to go to the movies. That's 4 tickets, Thea plus her three friends. Since they already told us that 2 tickets cost $18, another 2 will also cost $18. Remember we need 4 total tickets. Usually when you see the word "total" it means you are going to create an addition problem. This means you need to add $18 plus $18, to find out how much it will cost Thea and her friends to go to the movies.

#3 Salma is reading a 300 page book. She's already read 60 pages, and she wants to finish it in the next 3 weeks.
Our first step is to figure out how many pages she has left to read. To do this you need to subtract the total number of pages with the number she's read. That will be 300 - 6. If you subtract properly, be careful around those zeroes, then you should get 240 as the number of pages that Salma has left to read.
She needs to read all 240 pages over the next 3 weeks. You will need to divide the pages equally over the next 3 weeks. If you're thinking what I think you're thinking, yes, I do want you do divide 240 by 3. But let me make it easier on you. Let's drop the zero. Now divide 24 by 3. If you sing your 3's song, that will help you get to the solution. Now add that pesky zero back to the end of your solution. I won't say the answer here, but you have just found the answer as to how many pages Salma needs to read each week to finish her book. :)

#4 This one is a tad more complicated. Marcus has $15 to spend on baseball cards. Each box is $2.50. First let's find out how many boxes Marcus can buy. Add $2.50, until you reach $15. You should have found out that he can buy 6 boxes of baseball cards. This is NOT the answer! The question is asking you to find the total number of cards, not boxes. They told us that there are 10 cards in a box. If Marcus has 6 boxes, with 10 cards in each box, how many cards will he have? You can either multiply 10 by 6, or draw six boxes, and write a number ten in each one. Either way, you will get to the same solution. :)

Word Problems

There is a misprint in tonight's homework!
#1 - The question should say "How many minutes does Sabrina spend doing homework in that same week?

#1. To solve this problem, you need to figure out how many minutes a night Tiffany spends a night on homework. It says that Tiffany spends 50 minutes in a 5-day week on homework. How many minutes is that a night? That problem is 50 divided by 5. So count by 5's until you get to 50. How many did you come up with? You should have found out that Tiffany spends 10 minutes a night on her homework.
Now if Sabrina spends 15 more minutes a night on her homework than Tiffany, how many minutes does Sabrina spend on homework? The word more means addition. So add Tiffany's 10 minutes plus Sabrina's 15 more. 10 + 15 = ?? What did you get? You should have found out that Sabrina spends 25 minutes a night on homework.
Lastly, you will need to find out Sabrina's total weekly homework time. If Sabrina spends 25 minutes a night on her homework, how much total time is she spending in 5 days?
Day 1 = 25min
Day 2 = 25 min
Day 3 = 25min
Day 4 = 25 min
Day 5 = 25min
I won't give you the answer here. :)

#2 Caleb is organizing his shirts into a pattern.
white, blue, white, red, white, blue .........
Look for the first pattern
white, blue, white, red is the first pattern
Caleb needs to know what color comes after blue. Look at the list, what color is written after blue?
You can find the pattern can't you? :)

#3 Corey needs to send cards to 56 people. But the cards only come in boxes of 10. To solve this, draw a box and write the number 6 inside. This is the first box Corey needs to buy. But it isn't enough is it? He needs to continue buying boxes until he has enough to send 56.
Hint~ the number of boxes he ends up buying will have more than 56 cards total.
I think you can figure it out now! :)

Line Plots

Reading a Line Plot

According to this line plot 8 people have 1 pet, 5 people have 2 pets, 3 people have 3 pets, 3 people have 4 pets, and 1 person has 5 pets.

Let's put this in a sequence of numbers in order from least to greatest

Since there are 8 people who have 1 pet, we will write eight 1's, five 2's, three 3's, three 4's, and one 5

1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,5

We can tell that the majority of people own 1 pet, and least amount of people own 5 pets.

Sometimes you will be asked to find the mode, median, and outlier for the set as well.

The mode for this set is 1 because that is the number that you see the most.

The median for this set is 2

The outlier for this set is 5. When you subtract the first two numbers you get a difference of 0, when you subtract the last two number you get a difference of 1. 1 is greater than 0 so the last number in the set is the outlier.

Mode, Median, and Outliers

Helpful Homework Hints

1st step to solve any question having to do with median, mode, and outliers - Put the numbers in order from least to greatest

Mode- This is the number that you see most often

Median - This is the number in the middle of the set (after you put the numbers in order from least to greatest)

Outlier - To find this number you need to, subtract the first two numbers, and subtract the last two numbers. Out of those two differences, the difference that is the greatest will be the outlier.


Example:
10, 2, 21, 56, 10, 80, 85

Step 1 - Put in order from least to greatest
2, 10, 10, 21, 56, 80, 85

Step 2 - Find the mode (number you see most often)
2, 10, 10, 21, 56, 80, 85

Step 3 - Find the median (number in the middle)
2, 10, 10, 21, 56, 80, 85

Step 4 - Find the outlier
2, 10, 10, 21, 56, 80, 85
10 - 2 = 8 85 - 80 = 5
Since 8 is greater than 5, the outlier will be the smallest number 2
Note: if the differences are the same, there is no outlier