Find the Product. Explain How You Know
Marker, a math enthusiast, loves writing tutorials for stumped students and those who need to brush up on their math skills.
Read on for an piece of cake explanation of these concepts, forth with helpful examples.
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If you are asked to piece of work out the product of two or more numbers, so you demand to multiply the numbers together. If you are asked to detect the sum of two or more numbers, then you demand to add the numbers together.
Below, nosotros will work through several examples together.
What are the product and sum of half-dozen and 8?
- The product of half dozen and viii is 6 × 8 = 48
- The sum of vi and 8 is 6 + 8 = xiv
What are the production and sum of 9 and 3?
Work out the product and sum of ix and 3.
- The production of 9 and iii is ix × 3 = 27
- The sum of 9 and iii is 9 + 3 = 12
What are the production and sum of -7 and 9?
- The product of -vii and 9 is -seven × 9 = -63
- The sum of -seven and 9 is -7 + nine = ii
Write down 2 numbers that have a production of 42.
All you demand to do is look for 2 numbers that multiply to give 42. There are several possible answers:
- ane and 42
- 2 and 21
- three and 14
- six and seven
- -1 and -42
- -2 and -21
- -three and -14
- -6 and -vii
What are the product and sum of 2, 4 and 9?
Work out the production of 2, 4 and 9.
The product means that you need to multiply the 3 numbers together.
2 × 4 × ix = 72
The sum ways that you demand to add the three numbers together.
2 + 4 + nine = 15
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Questions & Answers
Question: What practise you get if yous double 15?
Answer: Just multiply the number by ii to give 30.
Question: Can you find two numbers which take a product of 12 and a sum of 7?
Respond: 4 and 3 are a the answers.
4 multiplied by 3 is 12. 4 add three is seven.
Question: what is the sum and product of -five and -12?
Answer: Sum means you need to add the numbers (-5 + -12 = -5 - 12 = -17).
Product ways you demand to multiply the numbers (-5 multiplied by -12 = 60).
Question: What is the sum of 8, 2 and 7?
Answer: 8 times 2 is 16, and 16 times 7 is 112.
Question: What is the product of 3 and 154?
Answer: To find the product multiply the ii numbers together to give 462.
Question: What number is 36 less than twice the product of 88 and 11?
Answer: First work out the product of 88 and 11 past multiplying 88 past 11 to give 968.
At present work out 968 minus 36 which is 932.
Question: Notice 45 less than the production of 7 and 9?
Respond: The product of 7 and 9 is vii times 9 which is 63.
Now piece of work out 63 take away 45 to give 18.
Question: The sum of two numbers is 9 and their difference is iii. What is their production?
Reply: First notice out what the two numbers are.
These are 6 and iii, since 6 add 3 is 9, and 6 minus 3 is 3.
At present multiply 6 by 3 to requite 18.
Question: What are the two numbers which have a sum and product of i and 9?
Reply: The sum can exist constitute by adding i and 9 to requite 10.
The product of ane and nine tin can exist found past multiplying 1 and 9 to requite 9.
Question: What is the product of xi and the divergence between 6 and negative 9?
Answer: The deviation between 6 and - 9 is 15.
Now multiply 15 and 11 to give 165.
Question: What is the product of 24 and 168?
Answer: 24 multiplied by 168 is 4032.
Question: What is the sum if 9/15 is added to the sum of 4 three/12 and 8 5/10?
Answer: You lot will but need to add all of the fractions together.
Start turn the mixed fractions into improper fractions (nine/15 + 51/12 + 85/ten).
Now brand a common denominator of 60 (36/lx + 255/lx + 510/60)
This gives 801/60 which simplifies to 267/20.
Question: What is the production of 36 and 7?
Reply: 36 multiplied by seven is 252.
Question: What number is the production of 100 and 90?
Answer: 100 times 90 is 9000.
Question: What number do you multiply iv by and add 5 to give a square number?
Answer: The number you are looking for is 5. Since the production of 4 and 5 is 20, and 20 add together 5 is 25 which is a square number.
Question: 45÷5×3+17-9=n? what is n?
Respond: 45 divided past 5 is nine.
9 times 3 is 27.
27 add 17 is 44.
44 minus 9 is 35, so north = 35.
Question: What number has a production of 9 and a sum of 10?
Answer: The two numbers are ane and 9, because 1 times 9 is 9, and 1 added to nine is 10.
Question: Can you find the product and sum of -9 and -7?
Respond: Multiply the numbers for the product, -9 times -7 is 63.
Add the numbers for the sum, -9 + - 7 is -16.
Question: How do y'all multiply the sum of 12 and 8 by their deviation?
Respond: The sum of 12 and 8 is 12 add 8 which is 20.
The divergence between 12 and 8 is 12 minus 8 which is 4.
Now 20 times iv is 80.
Question: When half-dozen is subtracted from the product of iv and a certain number the answer is xiv, what is the number?
Answer: Get-go add 6 onto 14 to give 20.
At present iv and a number must multiply to give 20, equally product means multiply.
This number will exist 5.
Question: What are the ii numbers of the sum of thirty and has a diffrence of six?
Answer: The ii numbers are 18 and 12, since xviii + 12 is 30, and 18 - 12 is 6.
Question: The product of two numbers is 72 and the sum is 18, what are that two numbers?
Answer: The two numbers are 6 and 12, because half-dozen times 12 is 72, and half dozen added to 12 is 18.
Question: Can you find the production of eight and 4?
Answer: The product tin be found by multiplying the two numbers together.
eight mutliplied by 4 gives 32.
Question: If the product of ii numbers is 60 and one of the numbers is five/9, what number is the other?
Answer: Divide 160 by 5/9 to give 108.
Question: What is the sum of 2 and 7?
Respond: The two numbers needed to be added together if yous are working out the sum.
And then 2 + 7 = 9.
Question: What is the production of 287 and 1,603?
Answer: To find the product multiply the two numbers together.
1603 multiplied past 287 is 460,061.
Question: The sum of a number and 1 added to information technology multiplied by two is x . And so what is the number ?
Answer: The answer is 4, since 1 + 4 is 5, and v times 2 is 10.
Question: Can you lot find the product and sum of 20 and 6?
Respond: The production of 20 and half dozen is twenty times half dozen which is 120.
The sum of xx and half dozen is 20 plus half dozen which is 26.
Question: Can you lot find two numbers which have a production of 8 and a sum of 7?
Respond: Yes, you tin but the answers are not integers (whole numbers).
You volition demand to solve the simultaneous equations xy = viii and ten + y = 7.
Question: How can I work out the product of 18 and iv?
Respond: All you need to do is 18 multiplied past 4 which is 72.
Question: The product of five whole numbers is three. What is the sum of these numbers?
Answer: Production ways multiply, so the v whole numbers that multiply together to give three are ane,1,i,1 and 3 (that is fours i'south and one iii).
Since "sum" means "add," then 1 + ane + 1 + 1 + three gives a concluding answer of 7.
Question: Tin you find two numbers which have a product of 741 and sum of 70 ?
Answer: The two number you are looking for are 57 and 13.
This is beacause 57 multiplied by 13 gives 741, and 57 added to 13 gives lxx.
Question: What are the ii numbers that the sum is 12 and the product is 36?
Answer: Remember, sum means add and product means multiply.
The two numbers that answer this question are 6 and 6.
This is considering 6 add 6 is 12, and vi multiplied past 6 is 36.
Question: The product of 4/iii and a number is 84. What is the number?
Answer: Split up 84 by 4/iii to give 63.
Question: What is 1/3 the sum of six and three?
Reply: First of all, work out the sum of half-dozen and 3 past adding these together to give 9.
Now to find a third of something you separate by three, so nine divided past 3 is three.
Question: What number pair has the sum of 5 production of 4?
Respond: Sum means add together, and product means multiply.
Therefore the two numbers needed are 1 and 4, considering 1 added to iv is 5 and 1 multiplied by 4 is 4.
Question: Can you notice a number which has a production of -14 and a sum of 5?
Answer: The 2 numbers are -two and 7, since -2 times vii is -14, and -ii + 7 is 5.
Question: Can you detect two numbers that have a product of -18 and a sum of -7?
Answer: The two numbers are -9 and 2.
This is because -9 multiplied by 2 is -18, and -9 plus 2 is -7.
Question: What is the product of 0.009 & two.84?
Respond: To find the production of any ii numbers just multiply them.
0.009 multipled by 2.84 gives 0.02556.
Question: How tin I work out the sum of 2/12 and 6/12?
Respond: To find the sum just add the two fractions together to get 8/12 which simplifies to 2/three.
Question: The product of two whole numbers is 648 and their sum is 51. What are the two numbers?
Answer: The two numbers are 24 and 27.
This is considering 24 multiplied by 27 gives 648.
Also, 24 added to 27 gives 51.
Call back, product ways multiply and sum ways add.
Question: What is the sum of nineteen and 25 multiplied by their difference?
Answer: Get-go, piece of work out the sum of 19 and 25 by calculation the two numbers together to give 44.
Adjacent, detect the difference of 25 and nineteen by subtracting the numbers to give six.
Now multiply 44 by 6 to give 264.
Question: What is the answer to halve the production of 5 and 12?
Answer: First of all piece of work out the production of 5 and 12.
Therefore, multiply the 5 by the 12 to give 60 (since production means multiply).
Now one-half sixty to give a terminal of answer of thirty.
Question: Tin you find ii numbers which have a product of 60 and a sum of 100?
Answer: The two numbers are not integers, so there is not an obvious answer.
Y'all will need to solve the simultaneous equations xy = 60, and x + y = 100, to requite 10
The two answers are 99.3963 and 0.6036 rounded to 4 decimal places.
Question: Can you lot notice two numbers which have a sum of thirteen and a production of 12?
Answer: Sum means add and product means multiply.
The 2 numbers are 1 and 12, as 1 + 12 = xiii and one multiplied past 12 gives 12.
Question: What two numbers have a sum of xv and a product of 36 ?
Reply: The answers are 3 and 12, since 3 + 12 = 15, and iii multiplied by 12 is 36.
Question: What's the product of 7/12 and xiv?
Answer: Convert 7/12 into a decimal by dividing seven by 12 to requite 0.583..., at present multiply this by 14 to give 8.17 rounded to 2 decimal places or 49/6 if you prefer a fraction.
Question: What is the product of 1 and 5?
Answer: Just multiply one by 5 to give an answer of v.
Question: What is the production of (3+20)(4-30)?
Answer: Get-go, work out the brackets:
3 added to 20 gives 23, and iv minus 30 gives - 26.
Now multiply 23 by -26 to give a final answer of -598.
Question: The product of 6 and 7 is how much greater than the sum of half-dozen and 7?
Respond: The production of 6 and vii is 6 times vii which is 42.
The sum of half-dozen and 7 is 13.
So 42 accept away thirteen is 29.
© 2011 Mark
Rachel Simpson on April 30, 2020:
What is the product of ii,3and 4
Source: https://owlcation.com/stem/Math-help-How-to-work-out-the-product-and-sum-of-two-numbers
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