Grade 5 Multiplication

Transcription

1 ID : ae-5-multiplication [1] Grade 5 Multiplication For more such worksheets visit Answer the questions (1) In a hotel, there are 167 rooms. If the rent of each room for one night is Dhs13121, what would be the daily income of the hotel, assuming all rooms are occupied? (2) If a train travels 317 km in one hour, how far will it go in one week, assuming it is traveling non stop at the same speed? (3) How many seconds are there in a day? (4) Atiya is practicing to participate in an upcoming marathon. She runs 16 km every day. What is the total distance she covered in the month of June? (5) Fadila earns Dhs40000 every month. How much money will she earn in 4 years? (6) Find the number that is 100 times 300. (7) If a crate has 80 pears and a truck can carry 774 crates, then how many pears can 579 trucks transport? (8) As part of a school charity drive, students of class V in a school decided to collect money for improving the facilities at an orphanage. They decided to contribute Dhs 22 every day for a month. How much money did they collect in December, if 45 students took part in the drive? (9) As part of their 13th anniversary, a school decided to give all its students 10 boxes of pens. If each box contained 12 pens, and there were 2290 students in the school, find the total number of pens that were distributed? (10) Find the product of the following: A) one hundred two thousand seven hundred seventy-six with six hundred seventy-seven B) nine hundred eighty-two thousand five hundred forty-four with six hundred seventy-two (11) At a farm, a crate of fruits can hold 30 pears. If a farm worker can fill 8 crates in a day and the farm has 20 farm workers, how many pears can be packed into crates in 5 days? (12) Find the product of following A) B) C) D)

2 ID : ae-5-multiplication [2] Choose correct answer(s) from the given choices (13) The largest factor of any number is: a. Zero b. The number itself c. One d. Hundred (14) Aleser arranged his toy pencils in 5 rows with 7 pencils in each row as shown below. pencils Which expression can be used to find the total number of toy pencils? a. 7 5 b c d. 5 7 Fill in the blanks (15) The largest factor of 145 is Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : ae-5-multiplication [3] (1) Number of rooms in the hotel = 167 Rent of each room for one night = Dhs13121 According to the question, we have been asked to find the daily income of the hotel, assuming all rooms are occupied. Daily income of the hotel = Number of rooms in the hotel Rent of one room = = Dhs Therefore, the daily income of the hotel is Dhs (2) km. According to the question, a train travels 317 km in one hour. Number of days in a week = 7 days Number of hours in one day = 24 hours Total distance traveled by the train in one week = Distance traveled by the train in one hour Number of days in one week Number of hours in one day = = Therefore, the total distance traveled by the train in one week is km.

4 (3) ID : ae-5-multiplication [4] Let us first find the number of seconds in one hour. We know that the number of seconds in one minute is 60 and the number of minutes in one hour is also 60. The number of seconds in one hour = The number of seconds in one minute The number of minutes in one hour = = 3600 seconds Now, we know that the number of seconds in one hour is 3600 and the number of hours in one day is 24. Hence, the number of seconds in one day = The number of seconds in one hour The number of hours in one day = = seconds Step 6 Hence, there are seconds in a day. (4) 480 km. Distance covered by the Atiya in one day = 16 km Number of days in June = 30 Total distance covered by Atiya = = 480 Therefore, Atiya runs 480 km in the month of June.

5 (5) Dhs ID : ae-5-multiplication [5] One year has 12 months. This means, 4 years have 4 times 12 months = 4 12 months = 48 months. The amount of money Fadila will earn in 4 years = The amount of money she will earn in 48 months = The amount of money Fadila earns in one month 48 = Dhs = Dhs (6) We need to find the number that is 100 times 300 or in other words, we need to find the number which we will get when 300 is added to itself 100 times. We know that multiplication is repeated addition. This means, to get the answer, we should multiply the numbers 100 and 300 together. We can use the standard method to multiply 100 and 300 and see that our answer is Let us see if we can learn an alternate method to solve the question in a relatively easier manner. Both numbers have two zeros each as their right-most digits. This means, the product of these numbers will have four zeros as the right-most digits. If we do not consider the zeros on the right of the given numbers, the numbers that remain are 1 and 3. The product of 1 and 3 is 3. Step 6 Now, let us write the final product of the given numbers by adding 4 zeros to the right to 3, i.e Step 7 Hence, is 100 times 300.

6 (7) ID : ae-5-multiplication [6] Number of pears in a crate = 80 Number of crates carried by a truck = 774 Number of trucks = 579 We have been asked to find the number of pears that can be transported by 579 trucks. Number of pears transported = Number of pears in one crate Number of crates carried by one truck Number of trucks = = Therefore, pears can be transported by 579 trucks. (8) Dhs Money contributed by the students in one day = Dhs22 Number of students in the school = 45 Number of days in December = 31 Total money collected by the students = = Therefore, Dhs30690 are collected by the students.

7 (9) ID : ae-5-multiplication [7] According to the question, we have been asked to find the total number of pens that were distributed in the school. Total number of boxes of pens = 10 Number of pens in each box = 12 Total number of students in school = 2290 Total pens = Number of boxes pens in each box Number of students = = Hence, a total of pens were distributed to all the students in the school. (10) A) sixty-nine million five hundred seventy-nine thousand three hundred fifty-two We may write the given number names in numeral forms as: One hundred two thousand seven hundred seventy-six = Six hundred seventy-seven = 677 Let us multiply by each digit of 677, and add the products as shown in the tabular format below, x Thus, the product of one hundred two thousand seven hundred seventy-six and six hundred seventy-seven is sixty-nine million five hundred seventy-nine thousand three hundred fifty-two.

8 B) six hundred sixty million two hundred sixty-nine thousand five hundred sixty-eight ID : ae-5-multiplication [8] We may write the given number names in numeral forms as: Nine hundred eighty-two thousand five hundred forty-four = Six hundred seventy-two = 672 Let us multiply by each digit of 672, and add the products as shown in the tabular format below, x Thus, the product of nine hundred eighty-two thousand five hundred forty-four and six hundred seventy-two is six hundred sixty million two hundred sixty-nine thousand five hundred sixty-eight.

9 (11) ID : ae-5-multiplication [9] Number of fruits in a crate = 30 pears Number of crates filled by a farm worker in one day = 8 Number of workers in the farm = 20 Total number of pears packed into crates in a day by one worker = Number of fruits in a crate Number of crates fill by the worker in one day = 30 8 Total pears packed into crates in a day by 20 workers = Total pears packed into crates in a day by one worker Number of workers = Step 6 Total pears packed into crates in 5 days = Total pears packed into crates in a day by 20 workers x Number of days = = Step 7 Therefore, pears can be packed into crates in 5 days. (12) A) Let us see how to multiply the given factors in a step by step manner. Multiplying by ones: > (factor 1) > (factor 2) > ( ) Multiplying by tens: > (factor 1) > (factor 2) > ( )

10 > ( ) ID : ae-5-multiplication [10] Multiplying by hundreds: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) Multiplying by thousands: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( ) Step 6 We shall now add all the products we have got so far to get the final product: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( ) > PRODUCT Step 7 The product of factors and 1414 is B) Let us see how to multiply the given factors in a step by step manner.

11 Multiplying by ones: ID : ae-5-multiplication [11] > (factor 1) > (factor 2) > ( ) Multiplying by tens: > (factor 1) > (factor 2) > ( ) > ( ) Multiplying by hundreds: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) Multiplying by thousands: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( ) Step 6 We shall now add all the products we have got so far to get the final product: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( )

12 ID : ae-5-multiplication [12] > PRODUCT Step 7 The product of factors and 9695 is C) Let us see how to multiply the given factors in a step by step manner. Multiplying by ones: > (factor 1) > (factor 2) > ( ) Multiplying by tens: > (factor 1) > (factor 2) > ( ) > ( ) Multiplying by hundreds: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) Multiplying by thousands: > (factor 1) > (factor 2) > ( ) > ( ) > ( )

13 > ( ) ID : ae-5-multiplication [13] Step 6 We shall now add all the products we have got so far to get the final product: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( ) > PRODUCT Step 7 The product of factors and 8343 is D) Let us see how to multiply the given factors in a step by step manner. Multiplying by ones: > (factor 1) > (factor 2) > ( ) Multiplying by tens: > (factor 1) > (factor 2) > ( ) > ( ) Multiplying by hundreds: > (factor 1) > (factor 2) > ( )

14 > ( ) ID : ae-5-multiplication [14] > ( ) Multiplying by thousands: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( ) Step 6 We shall now add all the products we have got so far to get the final product: > (factor 1) > (factor 2) > ( ) > ( ) > ( ) > ( ) > PRODUCT Step 7 The product of factors and 7918 is (13) b. The number itself We know that every number is divisible by itself. For example 4 is divisible by 4. Hence, the largest factor of 4 is 4. This means the largest factor of any number is the number itself.

15 (14) d. 5 7 ID : ae-5-multiplication [15] If we multiply the number of pencils in each row with the total number of rows, we can get the total number of pencils. Number of pencils = Number of rows pencils in each row = 5 7 = 35 Here, the expression used to find the total number of pencils is multiplication, that is, 5 7. (15) 145 The largest factor of any number is the number itself. Thus, the largest factor of 145 is 145.