Saturday, April 30, 2011
Number of the Day 17-25
The number of the day is 8675.309
17) Using the digits in the 1s and the 10s place respectively make a two digit number and write the prime factors.
Because of respectively make a two digit number you have to use the order that they said first which was the ones place, so the number in the 1s place is 5 then the 7 is in the 10s place. Now you make a number using that order so 57.
Because the prime factor itself is a prime number the only factors are 1 and itself.
So the prime factors are 57 and 1.
18) Add negative 2 to the digit in the 10s place using pictures.
-2+ 7=5
Diagram: There is two negatives - - and there is 7 postives + + + + + + +
So its asking to add them together. If your adding a negative number and a postive number what ever number in the equation is bigger thats the kind of number you'll get. Ex. -3+4.
4 is bigger than 3 so the symbol you'll have a postive. So now you have to make a zero pair. You have 2 negatives and 7 postives. You have enough +s so you put 2 negatives and postives together -+ -+ and you imaginaryly throw them away. Now you are left with +++++ and thats your answer.
19) Subtract negative 3 from the digit in the ones place using pictures
5-(-3)= +2
This is because you have five positives +++++ and 3 negatives - - - . Then you have to take away negatives, so you have enough postives so you make your zero pairs. So you end up taking away 3 zero pairs. +- +- +- and your are left with 2 positives + +. and thats you answer!!
20) Write a fraction using the 1000s place as the denominator and the tenths places as the numerator.
8675.309 in this number 8 is in the thousands place and 3 is in the tenths place.
If 8 is the denominator then its at the bottom blank/8 so now 4 is at the top 4/8 you can still simplify this into 1/2.
21) Use any 2 digits to make an improper fraction.
Just to remind you an improper fraction is a fraction where the numerator is bigger than the denominator.
So now you just choose 2 numbers where the numerator will be bigger than the denominator. Like: 8/5 , 7/6 and 9/3. You try and find the rest of the improper fractions.
22) Use any digits to make a mixed fraction.
A mixed fraction is a fraction where it has a whole number and a proper fraction.
Now just choose a number for a whole number, and number for a numerator and a number for the denominator. Make sure the numerator isnt bigger than the denominator or that will become a improper fraction. Like 3 4/8
23) Write the answer to the number 22 as a decimal.
3 4/8 So you first you know that you can simplify it so 4/8 is now 1/2. so its 3 1/2. Now you divide, so 1 divided by 2 then you'll get .5. Now you have the whole left so its 3.5
24) Draw a picture to represent the answer to number 22
Okay now you had 3 4/8 right? So there was 3 wholes, and 4/8 when i drew mine I did mine simplified into 1/2.
25) Write the answer is 21 as a percent.
Because there was alot of ways to make an improper fraction I will just pick one.
6/5 is my improper fraction. So now you just divide the numerator with the denominator. So its 6 divided by 5 is 1.2 then you multiply it by a hundred.
OR
You can do this...
Here is a song that will help you with integers.
17) Using the digits in the 1s and the 10s place respectively make a two digit number and write the prime factors.
Because of respectively make a two digit number you have to use the order that they said first which was the ones place, so the number in the 1s place is 5 then the 7 is in the 10s place. Now you make a number using that order so 57.
Because the prime factor itself is a prime number the only factors are 1 and itself.
So the prime factors are 57 and 1.
18) Add negative 2 to the digit in the 10s place using pictures.
-2+ 7=5
Diagram: There is two negatives - - and there is 7 postives + + + + + + +
So its asking to add them together. If your adding a negative number and a postive number what ever number in the equation is bigger thats the kind of number you'll get. Ex. -3+4.
4 is bigger than 3 so the symbol you'll have a postive. So now you have to make a zero pair. You have 2 negatives and 7 postives. You have enough +s so you put 2 negatives and postives together -+ -+ and you imaginaryly throw them away. Now you are left with +++++ and thats your answer.
19) Subtract negative 3 from the digit in the ones place using pictures
5-(-3)= +2
This is because you have five positives +++++ and 3 negatives - - - . Then you have to take away negatives, so you have enough postives so you make your zero pairs. So you end up taking away 3 zero pairs. +- +- +- and your are left with 2 positives + +. and thats you answer!!
20) Write a fraction using the 1000s place as the denominator and the tenths places as the numerator.
8675.309 in this number 8 is in the thousands place and 3 is in the tenths place.
If 8 is the denominator then its at the bottom blank/8 so now 4 is at the top 4/8 you can still simplify this into 1/2.
21) Use any 2 digits to make an improper fraction.
Just to remind you an improper fraction is a fraction where the numerator is bigger than the denominator.
So now you just choose 2 numbers where the numerator will be bigger than the denominator. Like: 8/5 , 7/6 and 9/3. You try and find the rest of the improper fractions.
22) Use any digits to make a mixed fraction.
A mixed fraction is a fraction where it has a whole number and a proper fraction.
Now just choose a number for a whole number, and number for a numerator and a number for the denominator. Make sure the numerator isnt bigger than the denominator or that will become a improper fraction. Like 3 4/8
23) Write the answer to the number 22 as a decimal.
3 4/8 So you first you know that you can simplify it so 4/8 is now 1/2. so its 3 1/2. Now you divide, so 1 divided by 2 then you'll get .5. Now you have the whole left so its 3.5
24) Draw a picture to represent the answer to number 22
Okay now you had 3 4/8 right? So there was 3 wholes, and 4/8 when i drew mine I did mine simplified into 1/2.
25) Write the answer is 21 as a percent.
Because there was alot of ways to make an improper fraction I will just pick one.
6/5 is my improper fraction. So now you just divide the numerator with the denominator. So its 6 divided by 5 is 1.2 then you multiply it by a hundred.
OR
You can do this...
Here is a song that will help you with integers.
Friday, April 29, 2011
Number of the Day (8-14)
Number of the day: 1234.567
8. Power- A base with an exponent is a power.
- Write a power using the digit in the 100th (1234.567) place as the base and the digit in the 10s (1234.567) place as the exponent. 6³
9. Power in factor form
- 6 x 6 x 6= 216
- Six ,three times...not six times three.
10. Cube - means three dimensional (3D)
- L x W x H = N(umber) x N x N = N³
- Cube the digit in ones place - 4 x 4 x 4 = 4³
11. Squared - means it has two dimensional (2D)
- L x W = N(umber) x N = N²
- Square the digit in hundreds place - 2 x 2 = 2²
12. Use a calculator,
- 1234.567 ÷ 3.55 = 347.7653521
14. Prime numbers- numbers with 2 factor, one and itself, not 1 or 3 more.
- 3, 5, 7 are prime numbers of 1234.567
Try this number to practice number 8 - 14: 8749.294
Sorry I can`t find a video and a link for this scribe post.
*Answers...underlined numbers*
8. Power- A base with an exponent is a power.
9. Power in factor form
- 6 x 6 x 6= 216
- Six ,three times...not six times three.
10. Cube - means three dimensional (3D)
- Cube the digit in ones place - 4 x 4 x 4 = 4³
11. Squared - means it has two dimensional (2D)
- L x W = N(umber) x N = N²
- Square the digit in hundreds place - 2 x 2 = 2²
12. Use a calculator,
- 1234.567 ÷ 3.55 = 347.7653521
- Rounding numbers...
- Look at the given nearest place value...
- Make the numbers that end in 1 through 4 into the next lower number that ends in 0. For example 74 rounded to the nearest ten would be 70.
- Numbers that end in a digit of 5 or more should be rounded up to the next even ten. The number 88 rounded to the nearest ten would be 90.
13. Product- is an answers into a multiplication question.
Digit - a part of a number, a symbol to represent the number.
- Product of all the digits (use a calculator) - 1 x 2 x 3 x 4 x 5 x 6 x 7 = 5040
- Forget about the decimal.
- Remember if there is (are) 0 digit(s) in the number the answer is 0.14. Prime numbers- numbers with 2 factor, one and itself, not 1 or 3 more.
- 3, 5, 7 are prime numbers of 1234.567
Try this number to practice number 8 - 14: 8749.294
Sorry I can`t find a video and a link for this scribe post.
*Answers...underlined numbers*
Notes for April 12, 2011
Interpret Circle graphs
-circle graph is a graph that represents data using sections of a circle
Sector
- sounds like section
- a section of a circle formed by two radii and the arc of a circle connecting the radii
A sector is a percent of the whole
Creating circle graphs
Central angle
- an angle formed by two radii of a circle
- the vertex of the angle is at the center of the circle
How many degrees in a circle
-360 degrees
- 2 protractors
Here is a link about circle graph
Notes for April 4, 2011
Circle
Parts of the circle
Radius- the distance from the center of a circle to the edge, represented by the variable r
Diameter- the distance across a circle through its center, represented by d
Relationship between radius and diameter
-diameter is twice longer than radius
- radius is half of diameter
Constructing circles
1. compass
2. trace a circle
3. string
Concentric circles
-same center point different radius
Circumference
- the distance around the circle
- usually represented by c
- this is a linear measurement
pi
- the ratio of the circle of a circle to its diameter
- approximate 3.14
Here is a link about circles
Parts of the circle
Radius- the distance from the center of a circle to the edge, represented by the variable r
Diameter- the distance across a circle through its center, represented by d
Relationship between radius and diameter-diameter is twice longer than radius
- radius is half of diameter
Constructing circles
1. compass
2. trace a circle
3. string
Concentric circles
-same center point different radius
Circumference
- the distance around the circle
- usually represented by c
- this is a linear measurement
pi
- the ratio of the circle of a circle to its diameter
- approximate 3.14
Here is a link about circles
Thursday, April 28, 2011
Number of the Day number 1 - 6
Number of the Day = 1234.567
1.Half the number
- Divide it by 2. (1234.567 / 2 = 617.2835)
2. Expanded form,
-True value of each digit
-1000 + 200 + 30 + 4 + 0.5 + 0.06 + 0.007 = 1234.567
- Wrong! (.4) (200.000) (30.500)
3.Write number in words
-One thousand two hundred thirty four and five hundred sixty seven thousandths
4.Rounding numbers
- Look at the given nearest place value...
-Make the numbers that end in 1 through 4 into the next lower number that ends in 0. For example 74 rounded to the nearest ten would be 70.
-Numbers that end in a digit of 5 or more should be rounded up to the next even ten. The number 88 rounded to the nearest ten would be 90.
-Round to the nearest 100: 1200
5. Place value
- What digit is in the tenths place? 0.5
6. Double the number
- Multiply it by two
- 1234.567 x 2 = 2469.134
Here is a number to practice number 1-6: 7455.305
ANSWERS *underlined numbers*
1.Half the number
- Divide it by 2. (1234.567 / 2 = 617.2835)
2. Expanded form,
-True value of each digit
-1000 + 200 + 30 + 4 + 0.5 + 0.06 + 0.007 = 1234.567
- Wrong! (
3.Write number in words
-One thousand two hundred thirty four and five hundred sixty seven thousandths
4.Rounding numbers
- Look at the given nearest place value...
-Make the numbers that end in 1 through 4 into the next lower number that ends in 0. For example 74 rounded to the nearest ten would be 70.
-Numbers that end in a digit of 5 or more should be rounded up to the next even ten. The number 88 rounded to the nearest ten would be 90.
-Round to the nearest 100: 1200
5. Place value
- What digit is in the tenths place? 0.5
6. Double the number
- Multiply it by two
- 1234.567 x 2 = 2469.134
Here is a number to practice number 1-6: 7455.305
ANSWERS *underlined numbers*
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