Asked by junhgbf
Explain how to estimate the quotient using compatible numbers.
27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
"Compatible numbers" are nearby numbers that are easy to divide mentally. For 27 and two-thirds ÷ 3 and 9/10:
1. Convert mentally: 27 2/3 = 27.666... and 3 9/10 = 3.9.
2. Pick easy nearby (compatible) numbers. 28 and 4 are close and divide evenly.
3. Divide: 28 ÷ 4 = 7.
So an estimated quotient is 7. (For comparison, the exact value is (83/3) ÷ (39/10) = 830/117 ≈ 7.094, so 7 is a good quick estimate.)
1. Convert mentally: 27 2/3 = 27.666... and 3 9/10 = 3.9.
2. Pick easy nearby (compatible) numbers. 28 and 4 are close and divide evenly.
3. Divide: 28 ÷ 4 = 7.
So an estimated quotient is 7. (For comparison, the exact value is (83/3) ÷ (39/10) = 830/117 ≈ 7.094, so 7 is a good quick estimate.)
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