Math  /  Numbers & Operations

Question3. Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients. a. 21+7=21+7= \qquad 2.1÷7=2.1 \div 7= \qquad b. 48÷8=48 \div 8= \qquad 0.048÷8=0.048 \div 8= \qquad

Studdy Solution
Analyze the relationship between 48÷8=648 \div 8 = 6 and 0.048÷8=0.0060.048 \div 8 = 0.006.
- Notice that both are division problems. - In the first problem, dividing a whole number by another whole number results in a whole number. - In the second problem, dividing a decimal number by a whole number results in a smaller decimal number. - The numbers 4848 and 0.0480.048 are related by a factor of 10001000 (48=0.048×100048 = 0.048 \times 1000). - The results are scaled down by the same factor.
The relationships observed are based on scaling factors between whole numbers and decimal numbers, demonstrating how arithmetic operations affect these numbers differently while maintaining proportional relationships.

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