Answer :

Answer: Best estimate for the product of 289 and 7 is 2900.

Step-by-step explanation:

Estimation:

Since 7 is the unit digit number so we can round or estimate the integers nearest to ones only to get the best estimate.

Rounding integers to nearest ones,

So,

[tex]289\text{ changes to }290\\\\7\text{ changes to }10\\[/tex]

So,

Product will be given by

[tex]290\times 10\\\\=2900[/tex]

This is the best estimate for the product of 289 and 7 nearest to ones .


The estimated product multiplication between 289x7 is 3000

Further explanation

Rounding results on integers can be used to find estimates or determine estimates of the results of a calculation. Estimates can be used as a reference or comparison in determining the truth of the results of a calculation

To round off integers to the nearest hundreds, look at the tens

  • 1. If the tens are less than 5 (1-4), then the unit number is omitted

Example: 735 ---> 700

  • 2. If the tens are 5 to 9 then the tens are rounded up to 1 hundred

Example: 279 ----> 300

On multiplications between numbers 289 and 7, rounding can be made as follows:

  • 1. number 7, because the value is above 5 then rounded up to 10
  • 2. number 289, because the value of the number tens of 8, then rounded up to 1 hundred to 300

So the results of the multiplication become:

10 x 300 = 3000

Learn more

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Keywords: integer, multiplication, rounded up

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