Problem 1 :
Write three products of 5.
Problem 2 :
Write three products of 2 such that all of them are multiples of 10.
Problem 3 :
Find the product of 1 and 79.
Problem 4 :
Find the product of 0.785 and 0.
Problem 5 :
What is the digit at ones place in the product of 787 and 95?
Problem 6 :
What is the digit at ones place in the product of 50 and 197?
Problem 7 :
Find the product of 1000 and 0.794.
Problem 8 :
Find the product of 0.0087 and 100.
Problem 9 :
Can the digit at ones place in the product of 48 and 35 an even number?
Problem 10 :
Can the digit at ones place in the product of 45 and 93 an odd number?
Problem 11 :
Find the product of 0.3 and 600.
Problem 12 :
Find the product of 0.75 and 4000.
Problem 13 :
Daniel's number card has a number which has 7 at ones place and Adam's number card has a number which has 5 at ones place. Daniel says that if both the numbers are multiplied, the resulting number will be an even number. Is Daniel correct? Explain.
Problem 14 :
If the product of 2K.875 and 100 is 2987.5, find the value of K.
1. Answer :
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
Three products of 5 are 10, 15 and 20.
2. Answer :
2 x 5 = 10
2 x 10 = 20
2 x 15 = 30
Three products of 2 such that all of them are multiples of 10 are 10, 20 and 30.
3. Answer :
The product of 1 and any number is always equal to the number itself.
Therefore,
1 x 79 = 79
4. Answer :
The product of any number and zero is always equal to zero.
Therefore,
0.785 x 0 = 0
5. Answer :
The product of any number and a number ends with 5 will always end with 5 or zero.
Multiply the digit at ones place in both the numbers.
7 x 5 = 35
35 ends with 5.
Therefore, the digit at ones place in the product of 787 and 95 is 5.
6. Answer :
The product of a multiple of 10 and any whole number will always end with zero.
Therefore, the digit at ones place in the product of 50 and 197 is 0.
7. Answer :
Since 0.794 is multiplied by 1000, the decimal point has to be moved three digits to the right.
Therefore,
1000 x 0.7941 = 794.1
8. Answer :
Since 0.0087 is multiplied by 100, the decimal point has to be moved two digits to the right.
Therefore,
0.0087 x 100 = 0.87
9. Answer :
In the given two numbers 48 and 35, one of the numbers is even, that is 48.
The product of an even number and any whole number is always an even number.
Therefore, the digit at ones place in the product of 48 and 35 can be an even number.
10. Answer :
Both 45 and 93 are odd numbers.
The product of an odd number and an odd number is always an odd number.
Therefore, the digit at ones place in the product of 45 and 93 can be an odd number.
11. Answer :
To get the product of 0.3 and 600, write 600 as a product of 6 and 100.
= 0.3 x 6 x 100
Multiply 0.3 and 4.
= 1.8 x 100
Since 1.8 is multiplied 100, the decimal point has to be moved two digits to the right.
= 180
So, the product of 0.3 and 600 is 180.
12. Answer :
To get the product of 0.75 and 4000, write 4000 as a product of 4 and 1000.
= 0.75 x 4 x 1000
Multiply 0.75 and 4.
= 3 x 1000
= 3000
So, the product of 0.25 and 8000 is 2000.
13. Answer :
Daniel's number card has a number which has 7 at one place,. So, it is an odd number.
Daniel's number card has a number which has 5 at one place. So, it is also an odd number.
We know that the product of an odd number and an odd number is always an odd number.
It is clear that the product of the two numbers in Daniel's card and Adam's card will be an odd number.
But, Daniel says that if the numbers on the cards are multiplied, the resulting number will be an even number
So, Daniel is incorrect.
14. Answer :
Since 2K.875 is multiplied by 100, the decimal point has to be moved two digits to the right.
2K.875 x 100 = 2K87.5
It is given that the product of 2K.875 and 100 is 2987.5
2K87.5 = 2987.5
Since the above two numbers are equal, the digits at hundreds place on the left side and right side must be equal.
K = 9
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