Word Problems on Multiplication and Division of Whole Numbers
We will learn how to solve step-by-step the word problems on
multiplication and division of whole numbers. We know, we need to do multiplication
and division in our daily life. Let us solve some word problem examples.
Word problems on multiplying and dividing of large numbers:
1. The cost of a chair is $980.50. Find the cost of such 2035 chairs.
Solution:
Cost of a chair = 980.50
Number of chairs = × 2035
490250
2991500
0000000
+ 196100000
Cost of 2035 chairs = 1995317.50
Therefore, cost of 2035 chairs is $1995317.50.
2. A tyre factory produces 6348 tyres a day. How many tyres
will the factory produce in 460 days?
Solution:
Number of tyres a tyre factory produces in one day = 6348
Number of day = × 460
0000
380880
+ 2539200
Total number of tyres produces in 460 days = 2920080
Therefore, the tyre factory will produce 2920080 tyres in
460 days.
3. The cost of a flat is $4218000. If there are 36 similar
flats in a building, how much money will be collected by selling all the flats?
Solution:
Cost of one flat = $4218000
Number of similar flats = 36
Cost of 36 flats = $4218000 × 36
Hence, the money collected = $151848000
4. 470988 books are to be arranged equally in shelves. If 378 books are arranged in each shelf, how many shelves will be needed?
Solution:
Total number of books = 470988
Number of books arranged in each shelf = 378
Number of shelves needed = 470988 ÷ 378
Therefore, 1246 shelves needed to arrange 470988 books
equally.
5. The cost of 534 train tickets was $457104. Find the cost
of one ticket?
Solution:
Number of train tickets = 534
Cost of 534 train tickets = $457104
Cost of 1 train ticket = 457104 ÷ 534
Therefore, cost of one train ticket is $856.
6. 36 families went on trip which cost them $1216152. If each
family share the cost equally, how much did each family pay?
Solution:
Total number of families = 36
Total cost paid by 36 families = $1216152
Cost paid by each family = $1216152 ÷ 36
Hence, cost paid by each family = $33782
7. A machine produces 2175 screws a day and after a month (30 days), these screws are distributed equally to 25 dealers in different parts of the city. How many screws does each dealer get?
Solution:
Screw production per day = 2175
Screw production in 30 days = 2175 × 30 = 65,250
65,250 screws are distributed equally among 25 dealers
Therefore, number of screws per dealer 65,250 ÷ 25 = 2,610
Hence, each dealer gets 2,610 screws.
8. A bus travels a distance of 275 km 500 m daily and for this travelling it consumes 1 ℓ of diesel per 15 km. Find
(i) how much distance does the bus travel in a month of 30 days?
(ii) how much diesel does the bus consume in a month?
Solution:
(i) In 1 day, the bus travels a distance of 275 km 500 m.
In 30 days (1 month), it travels a distance of 275 km 500 m × 30.
Hence, the bus travels a distance of 8265 km in a month.
(ii) The bus travels a distance of 8265 km in a month.
The quantity of diesel consumed by the bus for 8265 km (in 1 month) is given by 8265 ÷ 15.
Hence, the bus consumes 551 ℓ of diesel in a month.
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5th grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.
fundamental operations on large numbers worksheet
Relation between Dividend, Divisor, Quotient and Remainder is. Dividend = Divisor × Quotient + Remainder. To understand the relation between dividend, divisor, quotient and remainder let us follow the following examples:
Multiplication of whole numbers is the sort way to do repeated addition. The number by which any number is multiplied is known as the multiplicand. The result of the multiplication is known as the product. Note: Multiplication can also be referred as product.
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To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
The properties of division are discussed here: 1. If we divide a number by 1 the quotient is the number itself. In other words, when any number is divided by 1, we always get the number itself as the quotient. For example: (i) 7542 ÷ 1 = 7542 (ii) 372 ÷ 1 = 372
To multiply a number by 10, 100, or 1000 we need to count the number of zeroes in the multiplier and write the same number of zeroes to the right of the multiplicand. Rules for the multiplication by 10, 100 and 1000: If we multiply a whole number by a 10, then we write one
While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the tens place is replaced by ‘0’ and the hundreds place is increased by 1.
Round off to nearest 1000 is discussed here. While rounding off to the nearest 1000, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5, then the hundreds place is
Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number may be rounded off to the nearest 10. Rules for Rounding off to Nearest 10
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We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6.
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● Operations On Whole Numbers
5th Grade Math Problems
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