Question

which number line shows 61 + 27? choose 1 answer: a: number line with 16, +20 to 36, +7 to? b: number line with 61, +2 to 63, +7 to? c: number line with 61, +20 to 81, +7 to?

Explanation:

Step1: Analyze the problem

We need to find which number line represents \(61 + 27\). First, we can break down \(27\) into \(20+7\). So, we should first add \(20\) to \(61\), then add \(7\) to the result.

Step2: Check each option

• Option A: The starting number is \(16\), not \(61\), so it's incorrect.
• Option B: The first addition is \(+2\), not \(+20\), so it's incorrect.
• Option C: First, \(61+20 = 81\) (since \(61+20\) is the first step of breaking down \(27 = 20 + 7\)), then \(81+7\) (the second step). This matches the breakdown of \(61+27=61+(20 + 7)=(61 + 20)+7\).

Answer:

C (assuming the third option's number line starts at 61, adds 20 to get 81, then adds 7, which is the correct breakdown for \(61 + 27\))