You are watching: Compatible numbers are numbers in a problem that are easy to compute
Using the number above, we have the right to make the adhering to conclusions around compatible numbers:
Estimating sumsFives room compatible: 75 + 25 = 100Any numbers that make tens are compatible. 32 + 48 = 80
Estimating differencesNumbers with the same last digit or digits are compatible: 72 - 52.Numbers that finish with 1 or an ext zeros room compatible. For example, use 200 - 100 to estimate 198 - 99.
Estimating products and quotients.Numbers that finish with 1 or much more zeros room compatible. Numbers in the multiplication table assuming the we recognize the table by heart.
Some instances of compatible numbers when doing division are 400 and also 10, 36 and 6, 2400 and also 12, and also 64 and 8.
2400 and 12 room compatible because when act this department (2400/12), we can easily divide 24 by 12 to get 2 and put 2 zeros in ~ the finish to gain 200.
Some examples of compatible numbers once doing multiplication room 200 and also 40, 1100 and 40, 25 and 4.
1100 and 40 are compatible because we can quickly do this multiplication by multiply 11 and also 4 to obtain 44 and include three zeros at the finish to gain 44000.
Some instances of compatible numbers once doing enhancement are 225 and 75, 298 and also 2, and also 540 and also 60.Some instances of compatible numbers as soon as doing subtraction room 435 and also 25, 800 and also 600, and also 5986 and 2986.
When estimating, store in mind the we room not explain the answer will be exact. We space just searching for a reasonable estimate.
When estimating with division, if you decrease the worth of one number, girlfriend should likewise decrease the worth of the other. If you increase the value of one number, you should boost the worth of the other.
This helps to keep the estimate as close as possible to the exact answer.
Estimate the following department using compatible numbers1. 232 ÷ 11 2. 3421 ÷ 9 3. 25889 ÷ 521. Compatible numbers because that 232 and also 11 room 240 and 12. Notice that both numbers to be increased! 24 can be divided by 12 to acquire 2. Then, add a zero in ~ the end to gain 202. Compatible numbers for 3421 and 9 space 3200 and also 8. 32 have the right to be divided by 8 to acquire 4. Then include one zero in ~ the end to obtain 400 400 is a reasonable estimate. 3321 ÷ 9 = 369 and 369 have the right to be rounded to the nearest hundred to 4003. Compatible numbers for 25889 and also 52 are 25000 and also 50 When splitting 25000 through 50, the zero beside 50 cancels out with one zero the 25000, so the difficulty 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 also 497.86 is close come 500
Estimate the adhering to multiplication using compatible numbers1.72 × 78 2. 288 × 4151. Compatible numbers for 72 and also 78 space 70 and also 80. Keep in mind that one number was decreased while the various other was increased!Multiply 7 by 8 and include two zeros in ~ the end to get 56002.Compatible numbers because that 288 and also 415 room 300 and also 400Multiply 3 through 4 and include four zeros at the end to acquire 120000.Now, if i ask the concern again, what space compatible numbers, would certainly you be able to answer v confidence?If not, simply study again! So, what space compatible numbers? simply kidding!
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