Question

Multiplication standard algorithm of 0.386 times 6.1. There is a solid line underneath the 6.1 that yields 386. Underneath the 386 there is a plus 23160. There is a line underneath the 23160 with 2.3546 underneath it

a- True
b- False

Answer 1

The correct answer is option b. False. The multiplication of 0.386 by 6.1 is not correctly represented in the original question. The right answer after correctly performing the multiplication algorithm should yield a product of 2.3566.

Step-by-step explanation:

The multiplication standard algorithm stated is not correctly presented. When multiplying 0.386 times 6.1, you should multiply 386 by 61 (ignoring the decimal points for a moment) and then place the decimal in the answer so that there are three digits after it (since the original numbers have a total of three decimal places when combined). The correct mathematical statement for this multiplication should be as follows:

386

× 61

_____

386 (386×1)

2316×0 (386×60, shifted one position to the left)

______

23566

After placing the decimal point properly, the final result is 2.3566.

When using standard algorithm multiplication, we multiply each digit in one number by each digit in the other number, and then add up the products. In this case, we have 0.386 multiplied by 6.1. We start by multiplying 0.6 (the ones digit of 6.1) by 0.386, which gives us 0.2316. We write down 0.2316 below the solid line and move to the next digit. Next, we multiply 0.1 (the tenths digit of 6.1) by 0.386, which gives us 0.0386. We write down 0.0386 below the solid line, lined up with the previous result. Finally, we add up the two results: 0.2316 + 0.0386 = 0.2702.

Therefore, the correct answer is False as the calculation does not yield 2.3546.