You are watching: What is the definition of compatible numbers
Using the figure above, we have the right to make the adhering to conclusions about compatible numbers:
Estimating sumsFives are compatible: 75 + 25 = 100Any numbers that make tens room compatible. 32 + 48 = 80
Estimating differencesNumbers through the same final digit or digits space compatible: 72 - 52.Numbers that end with 1 or an ext zeros are compatible. For example, use 200 - 100 to estimate 198 - 99.
Estimating products and also quotients.Numbers that end with 1 or an ext zeros space compatible. Numbers in the multiplication table assuming that we recognize the table by heart.
Some instances of compatible numbers as soon as doing department are 400 and also 10, 36 and 6, 2400 and also 12, and 64 and also 8.
2400 and also 12 space compatible since when act this division (2400/12), we can conveniently divide 24 through 12 to get 2 and also put two zeros in ~ the end to get 200.
Some instances of compatible numbers as soon as doing multiplication room 200 and also 40, 1100 and 40, 25 and 4.
1100 and also 40 space compatible since we can easily do this multiplication by multiplying 11 and also 4 to acquire 44 and add three zeros at the end to obtain 44000.
Some examples of compatible numbers when doing addition are 225 and 75, 298 and also 2, and also 540 and 60.Some instances of compatible numbers when doing subtraction space 435 and 25, 800 and also 600, and 5986 and 2986.
When estimating, keep in mind the we space not explain the answer will be exact. We space just in search of a reasonable estimate.
When estimating v division, if you decrease the worth of one number, friend should also decrease the worth of the other. If you increase the worth of one number, girlfriend should boost the value of the other.
This help to store the estimate as close as feasible to the exact answer.
Estimate the following division using compatible numbers1. 232 ÷ 11 2. 3421 ÷ 9 3. 25889 ÷ 521. Compatible numbers for 232 and also 11 space 240 and also 12. An alert that both numbers were increased! 24 can be separated by 12 to get 2. Then, add a zero at the end to gain 202. Compatible numbers for 3421 and also 9 room 3200 and 8. 32 deserve to be split by 8 to get 4. Then include one zero in ~ the finish to gain 400 400 is a reasonable estimate. 3321 ÷ 9 = 369 and also 369 have the right to be rounded to the nearest hundreds to 4003. Compatible numbers for 25889 and 52 are 25000 and also 50 When separating 25000 by 50, the zero alongside 50 cancels out with one zero of 25000, so the problem becomes 2500 ÷ 5 25 ÷ 5 = 5. Then, add two zeros at the end and also the prize is 500 500 is a reasonable estimate since 25889 ÷ 52 = 497.86 and 497.86 is close to 500
Estimate the adhering to multiplication utilizing compatible numbers1.72 × 78 2. 288 × 4151. Compatible numbers for 72 and also 78 are 70 and also 80. Keep in mind that one number was reduced while the other was increased!Multiply 7 through 8 and include two zeros at the finish to get 56002.Compatible numbers for 288 and 415 room 300 and 400Multiply 3 by 4 and include four zeros at the end to get 120000.Now, if i ask the inquiry again, what room compatible numbers, would you be able to answer v confidence?If not, simply study again! So, what space compatible numbers? simply kidding!
What room compatible numbers? take it the quiz below to see just how well you recognize compatible numbers.
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