Question

noah says that 560 ÷ 4 is equal to 14. his work is shown below. is noah’s answer reasonable? a) yes, 560 ÷ 4 should be about 14. b) no, 560 ÷ 4 should be much less than 14. c) no, 560 ÷ 4 should be much greater than 14.

Explanation:

Step1: Analyze the division

First, let's consider the magnitude of \(560\div4\). We know that \(4\times100 = 400\), \(4\times140=560\). Wait, but Noah's answer is \(14\). Let's check the actual calculation: \(4\times14 = 56\), which is much less than \(560\). So \(560\div4\) should be \(140\) (since \(4\times140 = 560\)), which is much greater than \(14\).

Step2: Evaluate Noah's answer

Noah claims \(560\div4 = 14\), but the correct approximate value (or exact value) is \(140\), so \(560\div4\) is much greater than \(14\).

Answer:

C. No, \(560\div4\) should be much greater than \(14\).