rebecca tries to find 436 - 271. rebecca breaks apart the numbers by place value, regroups, and subtracts…

rebecca tries to find 436 - 271. rebecca breaks apart the numbers by place value, regroups, and subtracts. her work is shown. in which step does rebecca make the first error? step 1 step 2 step 3 step 4 rebeccas work step 1: 436 = 400 + 130 + 6 step 2: - 271 = 200 + 70 + 1 step 3: 200 + 60 + 5 step 4: the difference is 265.

rebecca tries to find 436 - 271. rebecca breaks apart the numbers by place value, regroups, and subtracts. her work is shown. in which step does rebecca make the first error? step 1 step 2 step 3 step 4 rebeccas work step 1: 436 = 400 + 130 + 6 step 2: - 271 = 200 + 70 + 1 step 3: 200 + 60 + 5 step 4: the difference is 265.

Answer

Explanation:

Step1: Analyze Step 1

In Step 1, (436 = 400+130 + 6). Since (400+130+6=536\neq436). The correct decomposition should be (436=400 + 30+6).

Step2: Analyze Step 2

If we assume Step 1 was correct (for the sake of checking subsequent steps), (-271=-(200 + 70+1)) is a correct decomposition of (- 271).

Step3: Analyze Step 3

If Step 1 was wrong, Step 3 calculation based on wrong Step - 1 input. But if we consider the arithmetic in Step 3: ((400 - 200)+(130-70)+(6 - 1)=200+60 + 5) is correct arithmetic assuming the numbers from Step 1 and Step 2.

Step4: Analyze Step 4

If we use the wrong decomposition from Step 1: (200+60 + 5=265). But if we use the correct decomposition (436=400+30 + 6) and (271=200+70+1), then (436-271=(400 - 200)+(30-70)+(6 - 1)). Since (30-70) requires borrowing. The correct way: (436-271=(300+130+6)-(200 + 70+1)=(300-200)+(130 - 70)+(6 - 1)=100+60+5 = 165). But the first error is in Step 1.

Answer:

Step 1