Answer:
Explained below.
Step-by-step explanation:
Multiplication using partial products is the process of multiplying the ones first, tens next, hundreds next and so on. and finally adding all the products.
Ex:
15 × 75 = 15 × (70 + 5)
= (15 × 70) + (15 × 5)
= 1050 + 75
= 1125
Multiplication using regrouping is the process of carrying over the tens, hundreds, thousands, and so on. to the next level and adding them to the subsequent products.
Ex:
15 × 75 =
75
105
----------
1125
Multiplication involves calculating the product of a set of numbers or expressions.
Partial products and multiplication by regrouping are different because partial product involves step by step, while multiplication by regrouping involves direct multiplication.They are similar because, both methods carry the remainder of a product onto the next.An illustration of partial product is as follows:
[tex]\mathbf{39 \times 4}[/tex]
Start by rewriting 39 as 30 + 9
[tex]\mathbf{39 \times 4 = (30 + 9) \times 4}[/tex]
Expand
[tex]\mathbf{39 \times 4 = 30 \times 4+ 9 \times 4}[/tex]
Calculate the product
[tex]\mathbf{39 \times 4 = 120+ 36}[/tex]
[tex]\mathbf{39 \times 4 = 156}[/tex]
The above product by regrouping is as follows
[tex]\mathbf{39 \times 4}[/tex]
Start by multiplying 9 and 4
[tex]\mathbf{9 \times 4 = 36}[/tex]
Write down 6, carry 3
Multiply 3 and 6
[tex]\mathbf{3 \times 4 = 12}[/tex]
Add the carried 3
[tex]\mathbf{3 \times 4 +3= 12 +3}[/tex]
[tex]\mathbf{3 \times 4 +3= 15}[/tex]
So, the complete product is:
[tex]\mathbf{39 \times 4 = 156}[/tex]
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write a division problem that has two digit dividend and 1 digit divisor show how to solve it by drawing a quick picture
The required quotient is 11 from the division of 22 by 2.
Given that,
To write a division problem that has two digit dividend and 1 digit divisor.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
let the two-digit dividend be 22 and the divisor be 2,
Now,
2 ] 2 2 [ 11
2
-
-------------
0 2
2
-
------------
00
Thus, the required quotient is 11 from the division of 22 by 2.
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Does 5 hundreds = 50 tens?
what is between 50 and 100
Answer:
Every number from 51 all the way to 99.
Step-by-step explanation:
these are all not greater nor less than 50 and 100.
Area of a trapezoid: 9 m by 15m by 20m
Allison has 3 containers with 25 crayons in each. She also has 4 boxes of markers with 12 markers in each box. She gives 10 crayons to a friend. How many canyons and makers does Allison have now?
Give an example of an irrational number that is less than -5.
An envelope is 3. 1/3 inches long by 3. 1/2 inches wide what is that area of the envelop
If a is an integer, when is a/b always equal to an integer
(I'm terrible at math btw)
How can you decide whether to be a brain surgeon or a novelist
Choosing between a career as a brain surgeon and a novelist involves weighing the time commitment for education and training against immediate earning potential. Additionally, personal passion, societal impact, and job significance in relation to one's lifestyle should be considered. The value of a career isn't solely determined by financial gain or status.
Deciding between becoming a brain surgeon or a novelist involves considerations beyond immediate income. The hypothetical scenario emphasizes that both professions, in this case, pay $150,000 annually, with a key difference in time invested in education and training. A brain surgeon requires extensive education and does not begin earning until about age 35, whereas a shoe shiner, used metaphorically for immediate income jobs like novel writing, earns from age 16. This leads to an opportunity cost of $2.85 million over 19 years.
However, career decisions are not solely based on financial aspects. They require considering personal interests, skills, and societal needs. A brain surgeon's job is highly specialized, and few people possess the necessary skills, which warrants a high income as an incentive. Conversely, a novelist's path may allow more immediate creative expression and potentially earlier financial independence.
It's essential to consider long-term consequences and uncertainties in career choice. Your passion, societal impact, and desired lifestyle must all shape your decision. Moreover, the intrinsic value of different professions cannot be solely quantified by income or prestige. Jobs like brain surgery or coal mining are both critical, and their importance is context-dependent.
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? (Use π = 3.14.)
a) 4.19 cubic inches
b) 10.4 cubic inches
c) 12.56 cubic inches
d) 20.93 cubic inches
Final answer:
To find the approximate difference in the amount of wax needed to make a candle from each of these molds, we can calculate the volume of wax using the formula for the volume of a cylinder. The approximate differences in volume can be calculated by subtracting the volume of mold a) from the volumes of molds b), c), and d).
Explanation:
To find the approximate difference in the amount of wax needed to make a candle from each of these molds, we need to calculate the volume of wax required for each mold. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Using the given values, we can calculate the volumes as follows:
Volume for mold a) = 3.14 × (sqrt(4.19/3.14))² × 1 = 7.98 cubic inches
Volume for mold b) = 3.14 × (sqrt(10.4/3.14))² × 1 = 35.58 cubic inches
Volume for mold c) = 3.14 × (sqrt(12.56/3.14))² × 1 = 50.24 cubic inches
Volume for mold d) = 3.14 × (sqrt(20.93/3.14))² × 1 = 111.51 cubic inches
The approximate differences in the amount of wax needed to make a candle from each of these molds are:
Approximate difference between mold a) and b) = 35.58 - 7.98 = 27.6 cubic inches
Approximate difference between mold a) and c) = 50.24 - 7.98 = 42.26 cubic inches
Approximate difference between mold a) and d) = 111.51 - 7.98 = 103.53 cubic inches
How can properties help me add whole numbers and decimals.
Mathematical properties like the Commutative Property and place value concepts can assist in simplified addition of decimals and whole numbers. Multiplying decimals by powers of ten can further ease such additions.
Explanation:In the field of mathematics, properties can significantly aid in the process of adding whole numbers and decimals. One such property is the Commutative Property which states that the order in which numbers are added does not change the sum. For example, if you are adding 2.3 (decimal) + 4 (whole number), you would get the same result as 4 + 2.3.
Furthermore, you can leverage the concept of place value. This involves aligning the decimal points and adding digits from right to left to get the correct sum.
Lastly, multiplying by powers of ten can aid in the addition of whole numbers and decimals. When we multiply a decimal by a power of 10, we simply move the decimal point to the right by the same number of places as there are zeros in the power of 10. This can make additions easier. For instance, if we want to add 4 + 0.23, we could multiply 0.23 by 100 (a power of 10) to get 23, and then it's much straightforward to add 4 + 23. But we have to remember to divide by 100 at last to get the real answer: 4.23.
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What is 137 divided by 7? Please put in the remainders!
Ex. 12R1
Thank you!
A relation is plotted as a linear function on the coordinate plane starting at point A (0, 3)
and ending at point B (2, 7).
What is the rate of change for the linear function and what is its initial value?
Select the choices to correctly complete the statements.
The rate of change is ? Use one of THESE CHOICES ON THIS SIDE to replace the question mark.
A) 0
B) 2
C) 4,
D) 7
And the initial value is ? Use these choices HERE NOT ABOVE, but here to replace the question mark.
A) 0
B 2
C) 3
D) 7
a restaurant bill before tax is $15.50. How much is a 15% tip for this bill . please show work
Write 300,000+40,000+60+7 in standard form
What is the solution to the equation -2(1 + 5a) = -6(a + 3)
a=
What is the length of diagonal BD in rectangle ABCD if BC=5 and CD=8.
a ladder 6 meters in length leans against a wall. the base of the ladder is 2 meters away from the base of the wall. how far up the wall does the ladder reach to the nearest tenth?
2/5 of students are wearing glasses. what fraction of students are not wearing glasses.
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. They perform a study recording daily temperature and the damage index to a head gasket on a car.
What is the domain?
Answer:
The domain is the temperature
Step-by-step explanation:
The domain of a function can be seen as the set of all possible independent values or variables which will make the function "work", and will output real values for the independent variable.
In the question above, what's been recorded daily is the temperature.
Hence, it serves as the independent variable as its variation does not depend on that of another.
So, temperature is the domain for the function above
what are all the common factors for 24 64 88
Use compatible numbers to estimate the quotient 784 divided by 8
Answer:
4
Step-by-step explanation:
An airplane travels 2748 miles in 6 hours.How far would they travel in 2 hours?
if the diameter of a wheel os 0.5meters, then the radius of the wheel is how many centimeters?
write an expression for the calculation 84 divided into sevenths added to 9 divided into thirds
meriska was decorating her room .she arrange 63 picture tiles on a wallin the shape of rectangle. how many rows of tiles could be on the wall
The length of a rectangular football field, including both end zones, is 120 yards. The area of the field is 57,600 square feet.
What is the relationship between the 5s in the number 755,371
The 5s in the number 755,371 represent different values due to their place in the number. The first 5 represents 50,000 as it is in the 'tens of thousands' place, while the second 5 represents 500 because it is in the 'hundreds' place.
Explanation:The relationship between the two 5s in the number 755,371 is dictated by their place values in the number. The first 5, which is the second digit in the number, is in the 'tens of thousands' place, therefore representing 50,000. The second 5, which is the fourth digit in the number, is situated in the 'hundreds' place, therefore representing 500. Despite being the same digit, their value varies greatly because of their place in the number. This concept of
place value is crucial in understanding numbers and their values in mathematics.
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Larry sold twice as many magazines as Jan. Henry sold 8 more magazines than Jan. Larry and Henry sold the same amount of magazines. How many magazines did Jan sell?
Jan sold 8 magazines.
The question is a classic example of a system of linear equations in the context of solving word problems. To solve for the number of magazines Jan sold, we need to set up equations based on the information provided.
Let's denote the number of magazines Jan sold as J. According to the problem, Larry sold twice as many magazines as Jan did, which can be represented as 2J. Henry sold 8 more magazines than Jan, which can be represented as J + 8. Lastly, we are told that Larry and Henry sold the same number of magazines, meaning 2J is equal to J + 8.
To find the number of magazines Jan sold (J), we solve the equation:
2J = J + 8
2J - J = 8 (Subtract J from both sides)
J = 8
Thus, Jan sold 8 magazines.
Beach towels are on sale for $1.50 off the regular price. Mrs. Ortiz buys 4 beach towels on sale for a total of $33.96. Write and solve an equation to determine the regular price of a beach towel. Explain how you can check with her your answer is reasonable.