how can you use Place value when using partial quotients?
Answers
The “partial quotients” strategy uses place value and lets students to form on multiplication facts with friendly numbers. Look at the problem 496 ÷ 4. There are three instances of a student’s method to answering 496 ÷ 4. We could say that example C is more effectual than the other two but it is vital to point out how the student is thinking on comprehending. The students can multiply 4 x 20 over and over again or use higher multiples of ten proficiently; they all touch the same solution. The “partial quotient” way will work with any division problem.
(see attachment below)
Related Questions
A building is 2 ft from a 12 ft fence that surrounds the property. A worker wants to wash a window in the building 17 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 8 ft from the fence for stability. To the nearest tenth of a foot, how long of a ladder will he need?
Answers
Using Pythagoras theorem, the ladder must be 19.7ft long.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Perpendicular = height of the window from the ground = 17ft
Base = distance of the foot of the ladder from the base of the building = 10ft
Hypotenuse = [tex]\sqrt{perpendicular^{2} +base^{2} }[/tex]
H = [tex]\sqrt{17^{2}+10^{2} }[/tex] = 19.4ft
Length of ladder = 19.4ft
Learn more about Pythagoras theorem here
https://brainly.com/question/343682
#SPJ2
(Picture) WILL GIVE BRAINLIEST! Please help me need in 10 minutes:)
Answers
How to solve-3r+9=-4r+5
Answers
There are 8 squares. If 25% of the squares are red and the rest of them are blue how many squares are red
Answers
2
Hope this helped!
50% of 8 would be 4 squares.
Half of 50 is 25
25% equals 2 squares.
johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11 players. let x represent how much each player needs to raise in order to play in the tournament .
Answers
Amount of money they still need to raise is given by $2,000 - $1,456 = $544.
Given that there is a total of 11 players in the team. Let x represent the total amount each player needs to raise, then x = $544 / 11 = $49.45
Therefore, each player needs to raise $49.45
the area of a four square court is 66 square feet. Estimate the side length,s, to the nearest tenth of a foot
Answers
We know the area (66 ft²) but not the length of one Side...
Enter our known value, and take the square root of both sides:
S²=66
√S²=√66
S=√66
S≈8.12403.....round to the nearest tenth:
S=8.1 ft
The side of the four-square court is 8.1 ft.
Area of SquareThe area of a square is given as the square of its side. the are of a square whose side is a is given as,
Area of Square = a²
Given to usthe area of a four-square court = 66 ft²
AssumptionLet's assume that the side of the four-square court is x.
Calculationthe area of a four-square court = area of square
[tex]66 = x^2\\x^2 = 66\\x = \sqrt{66}\\x=8.124[/tex]
Thus, the side of the four-square court is 8.124 ft. but we want the value to be the nearest tenth of a foot,
[tex]\rm{8.124\ ft \approx 8.1\ ft[/tex]
Hence, the side of the four-square court is 8.1 ft.
Learn more about Area of Square:
https://brainly.com/question/1658516
What's the missing number in the pattern 12,24,72,288 _______
Answers
24*3=72
72*4=288
288*5=1440
Is negative one half rational or irrational
Answers
A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 meters per day. Write an equation in slope-intercept form that models this situation. How tall will her sunflower be after two weeks?
Answers
y=0.6(2)+12
y=13.2
An equation in slope-intercept form models given situation is y=0.6x+20 and the length of the sunflower after two weeks is 21.2 meters.
Given that, a sunflower in Julia Rosario's garden was 12 centimetres tall when it was first planted. Since then, it has grown approximately 0.6 meters per day.
We need to write an equation in slope-intercept form that models this situation.
What is the slope-intercept form?The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis). The equation of the line is the equation that is satisfied by each point that lies on that line.
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.
Let y be the length of a sunflower plant and the number of days be x.
Now, y=0.6x+20
The length of the sunflower after two weeks is y=0.6×2+20
⇒y=1.2+20=21.2 meters
Therefore, an equation in slope-intercept form models given situation is y=0.6x+20 and the length of the sunflower after two weeks is 21.2 meters.
To learn more about the slope-intercept form visit:
https://brainly.com/question/9682526.
#SPJ2
the temperature is -4f a high pressure front increases the temperature to 8f by how many degrees did the temperature increase
Answers
Julius playing in a baseball tournament and scored 24 points in her first game if she averages over 20 points for both games she will receive a trophy how many points can Julie score in the second game and receive a trophy solve it as a inequality
Answers
to average 20 points in 2 games she needs a total of 20*2 = 40 points
she scored 24 so she needs 40-24 = 16 points in her second game
the question says she needs over 20 points so she should score at least 17 to be over
inequality x+24>40
Compare 5.7145 and √29 Show work
Answers
The number 5.38516 is greater than the square root of 29 or the square root of the number 29 is less than the number 5.7145.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The two numbers are:
5.7145 and √29
It is required to compare the numbers
The square root of the number 29 can be found using the division method.
The square root of the number 29 is 5.38516
As we know, the number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
Plotting the numbers 5.7145 and 5.38516 on a number line.
We will see the:
5.38516 < 5.7145 OR
5.7145 > 5.38516
Thus, the number 5.38516 is greater than the square root of 29 or the square root of the number 29 is less than the number 5.7145.
Learn more about the number here:
brainly.com/question/17429689
#SPJ2
Two Questions please help and explain
You spend $154 to make wooden bookends and plan to sell them online for $8.50 each. You will charge an additional $3.25 per bookend to wrap and ship them. How many bookends must you sell in order for your profit to be at least $600?
A) 40
B) 64
C) 65
D) 89
Erica has found a pair of running sneakers that she likes, costing $150. She has saved $31 already, and she has a job where she earns $8.50 per hour. How many hours will she have to work in order to afford the sneakers?
A) 17
B) 18
C) 22
D) 14
Answers
Erica will have to work for 14 hours in order to buy her sneakers.
How to solve:
You subtract $31 from $150 which equals to $119
You multiply 8.50 (which is the amount of money she gets paid every hour) by the answers they gave you.
8.50 multiplied by 14 is 199
Erica had to work 14 hours to make $199
Your answer is D) 14
I need to know if I'm writing this inequality right !
Answers
If x=√987678948729 and y=15927085, then what is (x÷9.5357)π + y/9743268?
Answers
x = sqrt (987678948729)
x = 993,820.38
With the equation given above,
(x/9.5357)π +y/9743268
Substituting,
(993,820.38/9.5357)π + 15927085/9743268
Simplifying,
327,254 + 1.6347
Further simplifying,
327,255.6347
Fund a product of 3/8 x 7/9
Answers
Which rational number equals 0.1 repeating?
Answers
Answer:
0.1111.... = [tex]\frac{1}{9}[/tex].
Step-by-step explanation:
Given : 0.1 repeating
To find : Which rational number equals 0.1111......
Solution : We have given 0. 11111.........
We can see there is only one number is repeating , we will multiply it by 10
Let x = 0.1111.......
Multiply both sides by 10
10x = 10 * 0.1111.......
10x = 1.1111.......
We can write it in terms of x
10x = 1. 000 + 0.11111....
10 x = 1 + x
On subtracting both sides by x
10 x -x = 1
9 x = 1
On dividing both sides by 9
x = [tex]\frac{1}{9}[/tex].
0.1111.... = [tex]\frac{1}{9}[/tex].
Therefore, 0.1111.... = [tex]\frac{1}{9}[/tex].
The rational number that equals 0.1 repeating is 1/9.
The rational number that equals 0.1 repeating can be represented as follows:
Let x = 0.1 repeating
To convert the repeating decimal to a fraction, we can use the following method:
Let's multiply both sides of the equation by 10 to shift the decimal point one place to the right:
10x = 1.1 repeating
Now, subtract the original equation from this new equation to eliminate the repeating part:
10x - x = 1.1 repeating - 0.1 repeating
9x = 1
Divide both sides of the equation by 9 to solve for x:
x = 1/9
Therefore, the rational number that equals 0.1 repeating is 1/9.
To know more about rational number click here :
https://brainly.com/question/24398433
#SPJ6
How to solve
7x-3=-3+7x
Answers
7x - 7x = -3 +3
0 = 0
so, the answer is 0
what is 3.45 repeating as a mixed number
Answers
Answer:
3 9/20
Step-by-step explanation:
3.45 is 69/20
60 goes into 20 3 times
which leaves you with 3 9/20
Which values for x and y make the statement (x + 3)(y - 11) = 0 true?
First answer will be marked brainliest I need this ASAP please!
A. x = -3, y = 11
B. x = 3, y = -11
C. x = -3, y = -11
D. x = 3, y = 11
Answers
So everything with x=-3 OR y=11 in it will work.
That's A, C and D
write write a subtraction sentence where the difference is positive. Use a positive and negative integer?
Answers
Therefore if you subtract a negative number from a positive number, the result will be positive.
9-(-2)=11
-0.38 (repeating 8) written as a fraction is _____.
Answers
hope this helps
when changing the decimal to fraction, move the decimal sign over twice and put it over 100
How can you find the sum [8 +(−4)] + (−8 + 4) using mental math?
Answers
Destiny read 1/4 of a book on the day she received it. The next day, she read 5/8 of the book. On the third day, she finished reading the book. What decimal represents the fraction of the book destiny read on the third day?
Answers
first day = 1/4th of the book
2nd day=5/8th of the book
total = 1/4+5/8=2/8+5/8=(2+5)/8=7/8
Remaining book or the part of book she read on 3rd day is 1-(7/8)=(8-7)/8=1/8= 0.125 in decimal
divide
7,647÷34=
a.224 r31
b.227 r29
c.251 r13
d.254 r11
Answers
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters. What was the total distance Gabriella flew that day?
Answers
Final answer:
To calculate the total distance Gabriella flew in four shows at the circus, add up the distances she covered in each performance.
Explanation:
The total distance Gabriella flew on Saturday can be calculated by adding up the distances she covered in each show:
Distance 1: 8.05 meters
Distance 2: 17.71 meters
Distance 3: 14.38 meters
Distance 4: 19.35 meters
By adding these distances together, you can find the total distance Gabriella flew that day i.e. 8.05+17.71+14.38+19.35 = 59.49 m
how do you simplify i^68
Answers
I believe the answer is 1.
what is 320 million in scientific notation?
Answers
The scientific notation of 320 million is 3.2 x [tex]10^8[/tex].
What is scientific notation?It is the way of writing a large number between 1 to 10 with a power of 10.
Example:
2.9 x 10² is in scientific notation
3.4 x 10³ is in scientific notation
4.4 x 10³ is in scientific notation
We have,
320 million
This can be written as,
1 million = 1000000
So,
= 320 x [tex]10^6[/tex]
= 32 x [tex]10^7[/tex]
Multiply 10/10 to make a number between 1 and 10.
= 32/10 x 10 x [tex]10^7[/tex]
Make an exponent of base 10.
= 3.2 x [tex]10^8[/tex]
Thus,
The scientific notation of 320 million is 3.2 x [tex]10^8[/tex].
Learn more about scientific notation here:
https://brainly.com/question/18073768
#SPJ2
What's an improper fraction is equal in mixed numbers 6 4/7
Answers
multiply the 7 (the denominator), and the 6 (the whole number). To this product, add the 4 (the numerator)
giving 46, to form the new numerator, and use the 7 as the new denominator.
So, 6 4/7 as an improper fraction is 46/7
The improper fraction equivalent to [tex]6\frac{4}{7}[/tex] is [tex]\frac{46}{7}[/tex].
An improper fraction is a fraction where the numerator is greater than the denominator.
A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.
Since the given fraction is in mixed fraction so on solving it we get,
[tex]\dfrac{46}{7}[/tex].
Hence the required improper fraction will be [tex]\dfrac{46}{7}[/tex].
For more details on improper fraction follow the link:
https://brainly.com/question/21449807
Mia needs to bring ar least 25 pieces of fruit to the school picnic. She suggested both apples and oranges and was told to be sure to bring more that 10 apples