Question

Identify and explain the error(s), if any, in each of the computations below.

(6)
ACI2605/102/0/2022
Subtotal= 20
Paul, Jean, Charlie and Nox are using their technological tools to work on their mathematics classwork.Theproblemtheyhadtosolveis: 3+4 ×6÷2−5.
They Paul used his Sharp calculator and got an answer of 16. Jean used a Microsoft Math Add-In and got an answer of 10. Charlie used his HP and got an answer of 10. Lastly, Nox used his Casio calculator and got an answer of 10.
They knew they pushed the right keys and they thought that each calculator worked the problem correctly, but the displays were different. Explain to each learner how did each technological tool solve the problem?
(10)
How would you enter the problem on the Casio so that the answer would be 10? (5)
12
2.1.1 In another problem, Paul, Jean, Charlie and Nox are given a three-digit dividend and a one-digit divisor. Can you help them predict how many digits will be in the quotient? Give examples to support your answer. (5)
2.2 On Monday’s homework, Mrs. Kay asked that learners use manipulatives to find the sum of 23 + 34 . Jay used f57raction chart and arrived at a sum of 1 5 and Tom used counters and arrived at an
answer of .
2.2.1 Illustrate by means of diagrams how each of the learner may have arrived at an answer. (5)
2.2.2 What would you as a mathematics teacher say, to make it clear how to solve the problem. (5)
Subtotal= 30
a. 36 +28 91
b. 36 + 28
514
c. 365 +287 742

Answer 1

See below.

Explanation:

The Sharp calculator does not do calculations according to the correct order of operations. It does calculations in the order they are entered. You cannot enter the operations in the order they are in. You must take care of the order of operations yourself.

First, you need to do multiplications and divisions in the order they appear from left to right.

Start with the multiplication and division.

4 × 6 ÷ 2 = 12

Now that you have 12 as the result of the multiplication and division, the problem is.

3 + 12 - 5

Use the calculator and enter the addition and subtraction in the order they are shown.

3 + 12 - 5 = 10

The correct answer is 10.

If you do the operations in the order they are written, you get the following incorrect result:

3 + 4 × 6 ÷ 2 - 5 =

= 7 × 6 ÷ 2 - 5

= 42 ÷ 2 - 5

= 21 - 5

= 16

This result is incorrect because it did not solve the prolem using the correct order of operations.