Problem 1 :
Multiply 2.584 by 10.
Problem 2 :
Multiply 2.584 by 100.
Problem 3 :
Multiply 2.584 by 1000.
Problem 4 :
Multiply 2.584 by 10000.
Problem 5 :
Multiply 0.07 by 10000.
Problem 6 :
Multiply 0.0065 by 1000.
Problem 7 :
Multiply 2.8943 by 100.
Problem 8 :
Multiply 1.0001 by 1000.
Problem 9 :
If 1lb. of a fruit costs $4.75, find the total cost of 10 lbs. of the same fruit.
Problem 10 :
If the walking speed of a man is 42.63 ft. per minute, find the distance covered by him in 100 minutes.
Problem 11 :
A car travels at a rate of 66.72 miles per hour. At the same rate, what is the distance by the car in 10 minutes?
Problem 12 :
If ten-thousandth of a certain number is 0.0009, find the number.
Problem 13 :
If the product 0.07k6 and 1000 is 75.6, find the value of k.
1. Answer :
2.584 x 10
Since 2.584 is multiplied by 10, the decimal point has to be moved one digit to the right.
Then,
2.584 x 10 = 25.84
Multiplying 2.584 by 10, we get 25.84.
2. Answer :
2.584 x 100
Since 2.584 is multiplied by 100, the decimal point has to be moved two digits to the right.
Then,
2.584 x 100 = 258.4
Multiplying 2.584 by 100, we get 258.4.
3. Answer :
2.584 x 1000
Since 2.584 is multiplied by 1000, the decimal point has to be moved three digits to the right.
Then,
2.584 x 1000 = 2584
Multiplying 2.584 by 1000, we get 2584.
4. Answer :
2.584 x 10000
Since 2.584 is multiplied by 10000, the decimal point has to be moved four digits to the right. But, in 2.584, there are only three digits after the decimal point. Add one zero at the end to get four digits after the decimal point.
Then,
2.584 x 10000 = 2.5840 x 10000
= 25840
Multiplying 2.584 by 10000, we get 25840.
5. Answer :
0.07 x 10000
Since 0.07 is multiplied by 10000, the decimal point has to be moved four digits to the right. But, in 0.07, there are only two digits after the decimal point. Add two zeros at the end to get four digits after the decimal point.
Then,
0.07 x 10000 = 0.0700 x 10000
= 700
Multiplying 0.05 by 10000, we get 500.
6. Answer :
0.0065 x 1000
Since 0.0065 is multiplied by 1000, the decimal point has to be moved three digits to the right.
Then,
0.0065 x 1000 = 0.0065 x 1000
= 6.5
Multiplying 0.0065 by 1000, we get 6.5.
7. Answer :
2.8943 x 100
Since 2.8943 is multiplied by 100, the decimal point has to be moved two digits to the right.
Then,
2.8943 x 100 = 289.43
Multiplying 289.43 by 100, we get 289.43.
8. Answer :
1.0001 x 1000
Since 1.0001 is multiplied by 1000, the decimal point has to be moved three digits to the right.
Then,
1.0001 x 1000 = 1000.1
Multiplying 1.0001 by 1000, we get 1000.1.
9. Answer :
Given : Cost of 1 lb. of fruit = $4.75.
Then, the cost of 10 lbs. of the same fruit :
= 10 x 4.75
Since 4.75 is multiplied by 10, the decimal point has to be moved one digit to the right.
= $47.50
10. Answer :
Given : Speed is 42.63 ft. per minute.
Formula for distance :
Distance = Speed x Time
Substitute speed = 42.63 and time = 100.
Distance = 42.63 x 100
Since 42.63 is multiplied by 100, the decimal point has to be moved two digits to the right.
Distance = 4263 ft.
So, the distance covered by the man in 100 minutes is 4263 ft.
11. Answer :
Given : Speed of the car is 66.72 miles per hour.
That is, distance covered by the car in one hour is 66.72 miles.
1 hour ----> 66.72 miles
60 minutes ----> 66.72 miles
1 minute ----> (66.72/60) miles
1 minute ----> 1.112 miles
Distance covered by the car in one minute is 1.112 miles.
Distance covered by the car in 10 minutes :
= 1.112 x 10
Since 1.112 is multiplied by 10, the decimal point has to moved 1 digit to the right.
= 11.12 miles
12. Answer :
Given : Ten-thousandth of a certain number is 0.0009.
Let k be the number.
Then, from the given information, we get
(1/10000) x k = 0.0009
Multiplying both sides by 10000, we get
k = 0.0009 x 10000
Since 0.0009 is multiplied by 10000, the decimal point has to be moved four digits to the right.
k = 9
So, the the number is 9.
13. Answer :
Since 0.07k6 is multiplied by 1000, the decimal point has to be moved three digits to the right.
0.07k6 x 1000 = 7k.6
Given : The product 0.07k6 and 1000 is 75.6.
7k.6 = 75.6
Since the two numbers above are equal, the digits at tens place on the left side and the digit side must be equal.
k = 5
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