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Estimate the value of the following product using general rules.
1291\[ \times \]592

Answer
VerifiedVerified
617.4k+ views
Hint: Let us find round off 1291 and 592 and then multiply to get the estimated value of the product. As we know that whenever an estimated word is used then first, we round off the number and then apply required mathematical operations.

Complete step-by-step solution:
Rounding off a number means that we change the given number to a number which is nearest to the given number and had all digits equal to zero except the first digit (i.e. leftmost digit)
Like the round off of 1321 is 1000 and the round off of 221 is 200.
So, here round off of 1291 will be 1000 because it is the nearest number to 1291 with all digits equal to zero except the first digit.
And the round off of 592 is 600 because 600 is nearer to 592 than 500.
Now we had to find the product of 1000 and 600.
So, 1000\[ \times \]600
Now to multiply two rounded off numbers we only multiply their first digit (leftmost digit) and then add x zeroes to the right of the product, where x is the sum of the number of zeros in both of the rounded off numbers.
So, total zeros in 1000 and 600 is 3 + 2 = 5.
And the product of 1 and 6 is 6.
So, place five zeros to the right of the number 6. We get,
600000.
Hence, the estimate of 1291\[ \times \]592 will be equal to 600000.

Note: Whenever we come up with this type of problem then first, we had to understand that the estimate means that we had to round off the number and then calculate their product. And round off of a number is the number nearest to it with all digits except the first digit equal to zero. Like the round off of 3221 is 3000, 398 is 400 and 59 is 60. And then we had to multiply the round off of the numbers to get the required estimate of the product. This will be the easiest and efficient way to find the solution of the problem.