Introduction:
Well matched numbers are compatible numbers. Each compatible number friendly with other compatible numbers. If we want to estimate the mental computation, use the compatible numbers. The problem have actual numbers with closely related value. Addition, subtraction, product or division are estimated by using compatible numbers. Math compatible numbers have the end integers as 0 or 5.
Explanation for math compatible numbers
Examples of math compatible number:
1). If we take the 12 and 4, they are called as math compatible numbers. Because 4 divides 12 without any remaining.
2). The compatible numbers 1200 and 6 because 6 divides the 12 quickly and give the answer 2. At the end of 2, we put two zeros.
3). 100 and 20 are math compatible numbers because multiplying 1 and 2 to get 2 quickly. At the end of 2 put three zeros.
4). If we get the compatible numbers for 33 and 28, round the values. That is,compatible number for both 33 and 28 may be (35, 30) or (30, 25). The compatible number sum is 65 or 55.
Estimate the division using compatible numbers:
We cant get the exact numbers when we divide the compatible numbers. It is used for reasonable estimation. If we want to reduce the one number value, we should reduce the another one also.We must increase the value of one number when another number increased. It give the close value.
Example with division:
1). 228 divided by 4.
230 and 5 are compatible numbers for 228 and 4. Here compatible number’s value are increased. The number 5 divide the 230 to get 26.
2). 198 divided by 3.
200 and 4 are math compatible numbers for 198 and 3. Here also the values are increased. Divide the 20 by 4 and get 5. Then add one zero to 5.
Estimate the multiplication using compatible numbers:
Multiplication also follow the same procedure as division.
Example with multiplication:
1). 68 multiply with 3.
The compatible numbers for 68 and 3 are 70 and 5. The value 7 multiply with 5 to get 35. Add one zero to 35.
2). 585 multiply with 190.
The compatible numbers for 585 and 195 are 600 and 200. Multiply 6 and 2 to 12 and put four zeros.
Exercise problem for math compatible numbers:
1). Add 63 and 42.
Answer: The compatible numbers are 60 and 40.
2). Divide 450 by 25.
Answer: The compatible numbers are 500 and 30.
Well matched numbers are compatible numbers. Each compatible number friendly with other compatible numbers. If we want to estimate the mental computation, use the compatible numbers. The problem have actual numbers with closely related value. Addition, subtraction, product or division are estimated by using compatible numbers. Math compatible numbers have the end integers as 0 or 5.
Explanation for math compatible numbers
Examples of math compatible number:
1). If we take the 12 and 4, they are called as math compatible numbers. Because 4 divides 12 without any remaining.
2). The compatible numbers 1200 and 6 because 6 divides the 12 quickly and give the answer 2. At the end of 2, we put two zeros.
3). 100 and 20 are math compatible numbers because multiplying 1 and 2 to get 2 quickly. At the end of 2 put three zeros.
4). If we get the compatible numbers for 33 and 28, round the values. That is,compatible number for both 33 and 28 may be (35, 30) or (30, 25). The compatible number sum is 65 or 55.
Estimate the division using compatible numbers:
We cant get the exact numbers when we divide the compatible numbers. It is used for reasonable estimation. If we want to reduce the one number value, we should reduce the another one also.We must increase the value of one number when another number increased. It give the close value.
Example with division:
1). 228 divided by 4.
230 and 5 are compatible numbers for 228 and 4. Here compatible number’s value are increased. The number 5 divide the 230 to get 26.
2). 198 divided by 3.
200 and 4 are math compatible numbers for 198 and 3. Here also the values are increased. Divide the 20 by 4 and get 5. Then add one zero to 5.
Estimate the multiplication using compatible numbers:
Multiplication also follow the same procedure as division.
Example with multiplication:
1). 68 multiply with 3.
The compatible numbers for 68 and 3 are 70 and 5. The value 7 multiply with 5 to get 35. Add one zero to 35.
2). 585 multiply with 190.
The compatible numbers for 585 and 195 are 600 and 200. Multiply 6 and 2 to 12 and put four zeros.
Exercise problem for math compatible numbers:
1). Add 63 and 42.
Answer: The compatible numbers are 60 and 40.
2). Divide 450 by 25.
Answer: The compatible numbers are 500 and 30.
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