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