Explain why it works to break apart a number by place values to multiply
Answers
Answer:
We are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.
Step-by-step explanation:
Because when we break apart a number by placing values to multiply like when we do in partial products, we are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.
Check below that Partial Products example:
[tex]46*32=\\46=(40+6)\\32=(30+2)\\(40+6)(30+2)=1200+80+180+120[/tex]
Breaking a number apart by place values then multiply gives the same product as multiply the numbers directly because under multiplication condition, each digit in a number multiplies every other digit in the other value.
Using the expression as an example :
(17 × 12)
17 = 10 + 7 (tens and unit respectively)
12 = 10 + 2 (tens and unit respectively)
17 × 2 = (10 + 7)(10 + 2)
(10 + 7)(10 + 2) = (10×10) + (10×2) + (7×10) + (7×2) (10×10) + (10×2) + (7×10) + (7×2) = 100 + 20 + 70 + 14 = 204Therefore, the product will give the same result always.
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Related Questions
Brad bought 70.030 m of chain to make necklaces. He used 0.667 m of the chain to make one necklace.
How much chain did he have left?
Enter your answer in the box.
HELP ASAP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 69.363m of his chain is left.
Answer:
the answer to the question is 69.363
Step-by-step explanation:
Is 95.045 and 95.545 greater or less then
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Which number is the largest? 7.2 ⋅ 10−6, 3.09 ⋅ 103, 2.04 ⋅ 104, 5 ⋅ 103
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5 * 103 = 515
3.09* 103 = 318.27
2.04 * 104 = 212.16
7.2 * 10 - 6 = 66
:)
i hoped this helped :)
Answer:
2.04 × 10^4
Step-by-step explanation:
7.2 × 10^-6 = 0.0000072
3.09 × 10^3 = 3090
2.04 × 10^4 = 20400
5 × 10^3 = 5000
Jacob tapes down a piece of red tape on a basketball court. The piece of tape is 3/5 yard long. He wants to divide it into sections that are each 1 1/0 yard long.
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There are 6 1/10ths, so the answer is 6 sections
hope this helps :D
160% of 35 show work.
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or
35 * 1.60 = 56
You can use percentage multipliers.
100% is 35.
You need to add 60% on
The multiplier for 60% increase is 1.6
35 x 1.6 = 56.
The answer is 56.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Broccoli cost $1.50 per pound at a store. How much money does 32 ounces of broccoli cost?
Answers
Answer:
32 ounces costs 3 dollars.
Step-by-step explanation:
There are 16 ounces in 1 pound. So 32 ounces is 2 pounds. 1.5*2=3. 32 ounces costs 3 dollars.
A gallon of gasoline costs $2.96 your car has a 25- gallon gas tank and can travel 28.8 miles one each gallon of gasoline find the cost of filling your gas tank if it’s already 3/8 full
Answers
To find the cost of filling the gas tank, calculate the empty part of the tank, which is 5/8 of 25 gallons. Then multiply that by the cost of a gallon of gasoline, which gives you $46.25.
Explanation:To solve this problem, we need to calculate how much gasoline is needed to fill up the car's tank considering that it's already 3/8 full and then multiply that by the cost of gasoline per gallon.
Firstly, we need to find out how much of the tank's capacity is empty. The tank has a total capacity of 25 gallons and 3/8 of it is already full. This means 5/8 of the tank is empty. The empty capacity is 5/8 * 25 = 15.625 gallons.
Given that a gallon of gasoline costs $2.96, we need to multiply the cost per gallon by the number of gallons needed. Therefore, the cost to fill the tank equals to 2.96 * 15.625 = $46.25.
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Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold teh gloves and the skirt for a total of £48. She made 100% profit on the cost of the gloves. 20% profit on the total cost. Work out the percentage profit on the cost of the skirt
Answers
Profit on the total cost = 20% = 0.20
=> Total cost + 0.20 total cost = Sale value
=> 1.20 total cost = 48
=> total cost = 48 / 1.20
=> total cost = 40
B) Cost of the gloves = 4
=> Cost of the skirt = total cost - cost of the gloves
=> Cost of the skirt = 40 - 4 = 36
C) Price of the skirt = total value - price of the gloves
Total value = 48
Price of the gloves = cost of the gloves + margin
margin of the gloves = 100% on the cost = cost
Price of the gloves = cost of the gloves * 2
Price of the gloves = 4 * 2 = 8
=> Price of the skirt = 48 - 8 = 40
D) Profit on the skirt = price of the skirt / cost of the skirt = 40 / 36 = 1.1111
Profit % = 11,11 %
The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40.
Explanation:Profit Maximization CalculationTo calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost.
Calculate total revenue by multiplying the number of units by the price ($72).Calculate total cost by adding fixed costs ($100) to the total variable costs for each output level.Determine marginal revenue and marginal cost for each additional unit produced.Identify the output level where marginal revenue equals marginal cost; this is the profit-maximizing quantity.Subtract total cost from total revenue to find profits at this output level.If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits.
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Sara pays $11 for 2.75 pounds of cheese.what is the cost per pound
Answers
you just need to divide 11 by 2.75 which would be $4
Sharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches between the top of the tree and the floor of the treehouse
Answers
Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour? Drag and drop the correct value into the box.
Answers
(1/6)/(2/3) = 1/6 * 3/2 = 3/12 = 1/4
He can sew 1/4 pair of jeans per hour.
The rate in pairs of jeans per hour is 1/4
For every 2/3 hour Harris can sow 1/6 pair of jeans
Therefore the rate of Harris's jeans in pairs can be calculated as follows
= 1/6 ÷ 2/3
= 1/6 × 3/2
= 3/12
= 1/4
Hence the rate in pairs of jeans per hour is 1/4
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The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?
Answers
Answer:
Step-by-step explanation:
The volume of the cube depends on the length of its sides.
Volume can be represented by the function
V(s) = s³
Where s represents the length of one side.
Now V(3) = 27
or V(3) = 3³ will represent the volume of the cube with a side of length 3 unit.
Can anyone help me on #7 and #8
Answers
What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is 40%. The percent decrease is 70%. The percent decrease is 140%. The percent decrease is 240%.
Answers
(03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (0, 6); the y-intercept is (−9, 0).
The x-intercept is (6, 0); the y-intercept is (0, −9).
The x-intercept is (3, 0); the y-intercept is (0, −2).
The x-intercept is (0, 3); the y-intercept is (−2, 0).
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Can I get some help with 1) plz
Answers
simplify and show work please and thank you
4a-13=19
Answers
4a=32
Then divide both sides by 4:
a=8
13+4a-13=19+13
4÷{4a=32}
a=8
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
38⋅(−36)
Thank you have a Nice day
Answers
The answer is -1368/10000= -171/1250
Answer:
the product of 38 and (-36) is -1368
Step-by-step explanation:
To find out the product of two numbers, we need to multiply the numbers
positive times negative is negative
38⋅(−36)
38
36
-------------------
228
114
-----------------
1368
the product of 38 and (-36) is -1368
You are visiting Washington, D.C. From the American History Museum you walk 5 blocks east and 1 block south to the Air and Space Museum. Then you walk 8 blocks west to the Washington Monument. Where is the Washington Monument in relation to the American History Museum?
Answers
Final answer:
The Washington Monument is 3 blocks west of the American History Museum, after making the described movements starting from the museum.
Explanation:
To determine the relative position of the Washington Monument to the American History Museum, let's track the movements step by step. Starting from the American History Museum, if you walk 5 blocks east and then 1 block south, you arrive at the Air and Space Museum. From there, if you walk 8 blocks west, you will reach the Washington Monument.
Now, since you've walked 5 blocks east initially and then 8 blocks back west from the Air and Space Museum, you've ended up 3 blocks west of your starting position at the American History Museum (because 5 - 8 = -3). The 1 block south movement does not affect the east-west positioning. Therefore, the Washington Monument is 3 blocks west of the American History Museum.
Select Equal or Not Equal to correctly classify each statement.
Statement:
1. 14⋅34=?34⋅14 Equal or not equal
2. 34÷25=?25÷34 Equal or not equal
WILL MARK BRAINLIEST
Answers
2. Not Equal
2. 34 / 25 = 1.36. 25 / 34 = 0.73 | 34 / 24 doesn't equal 25 / 34
Hope this helped! ☺♥
a box of cereal states that there are 96 calories in a 3/4-cup serving. what is the unit rate of calories per cup? how many calories are there in 3 cups of ceral
Answers
Let x = unit rate for calories per cup,
Then (3/4)*x = 84
and x = 84*(4/3) = 112 calories per cup
The number of calories is there in 3 cups of cereal will be equal to 384.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total calories in 3/4 cup = 96
Let's assume that the number of calories per cup is x.
Then,
3/4 cup = 96
1 cup = x
Use cross-multiplication,
0.75x = 96
x = 96/0.75
x = 128 calories
Then, the calories in 3 cups will be,
= 128 × 3
= 384
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What is 4973 divided by 7
Answers
Hope this helps!
A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are there in each row? Find the unknown number in the equation 990 ÷ 22 = s.
Answers
There are 45 seats in each row.
Hope this helps!
I don't get this I need help
Answers
The main theorem about these quadrilaterals is the following:
In any cyclic quadrilateral, the sum of the measures of the opposite angles is 180°.
This means, m(∠S)+m(∠Q) =180°,
thus
(7x-2)+(5x+14)=180
12x+12=180
12x=168
x=168/12=14
Thus the measures of angles Q and S are respectively:
7x-2 = 7*14-2=96 (degrees) and
5x+14=5*14+14=6*14=84 (degrees)
Answer: D
Which story represents the graph below?
A person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
both of the above
neither of the above
Answers
Mountains do have plateaus where it goes flat.
A person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
I hope this helps!
Both given stories represents the given graph.
Given that, a person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
What is cruising altitude?The height in the sky at which an airplane stays for most of a flight.
Cruise altitude is usually where the higher ground speed is balanced against the decrease in engine thrust and efficiency at higher altitudes.
In the graph a plateau and cruising altitude of a function is a part of its domain where the function has constant value.
Therefore, both given stories represents the given graph.
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The Rodriguez family went out to dinner to Pasta, Pasta, Pasta! Mr Rodriguez ordered a meal for $6.25. Mrs Rodriguez ordered a meal for $7.50. The two children ordered pizzas for $4.99 each. The sales tax rate is 7.25% (on the cost of only the meal) and they left a 15% tip based on the cost of the meal (not the tax). How much was the total bill? Question 8 options: A) $29.01 B) $45.98 C) $23.73 D) $23.96
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Simplify the expression. 57 – 12 ÷ 4 • 3
Answers
57 - (12/4) x 3 which equals
57 - 3 x 3 which equals
57 -9 = 48
Make sense?
So, 48 is your answer. ☺♥
Find the equation of a line parallel to y=-3 passing through the coordinate (2,6)
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y=6 would wind up making a straight line going horizontal through the y axis through the point (2,6) and would also be parallel to the line y=-3
how to put 9.125 E10. in standard form
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F=9/5C+32. Solve for C.
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The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
What is a linear expression?The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
As we know,
The expression can be defined as the combination of constants and variables with mathematical operators.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
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