Explain why all of these expressions have the same value. 4500÷90 450÷9 45÷0.9 4.5÷0.09
2 answers:
Answer:
As the cycle continues, you will always get 50 as the answer since you are dividing both the numerator and the denominator with 10 in each expression. In other words; the ten you divide the numerator with cancels out with the ten you divide the denominator with. So the answer will always be 50 in each next expression.
Step-by-step explanation:
(i) 4500 ÷ 90 = = 50
(ii) 450 ÷ 9 = = 50
(iii) 45 ÷ 0.9 = = 50
(iv) 4.5 ÷ 0.09 = = 50
Starting with: (i) 4500 ÷ 90 = = 50
You divide the numerator and the denominator by 10 to get;
(ii) 450 ÷ 9 = = 50
Then you divide the both the numerator and denominator in (ii) with 10 to get;
(iii) 45 ÷ 0.9 = = 50
As the cycle continues, you will always get 50 as the answer since you are dividing both the numerator and the denominator with 10 in each expression. In other words; the ten you divide the numerator with cancels out with the ten you divide the denominator with. So the answer will always be 50 in each next expression.
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and