Question

Jin solves the equation -225 ÷ (-15). Which solution would help Jin determine the reasonableness of his answer? a. Dividing –25 by –10 b. Multiplying –25 by –10 c. Dividing –200 by –10 d. Multiplying –200 by –10

Answer 1

Jin can determine the reasonableness of his answer by multiplying -200 by -10.

Step-by-step explanation:

To determine the reasonableness of the answer to the equation -225 ÷ (-15), Jin can use the concept of multiplying two negative numbers. When two negative numbers multiply, the answer has a positive sign. Jin can consider option d. Multiplying -200 by -10 to determine if the product is positive or negative. If the product is positive, it would indicate that Jin's answer is reasonable.

Answer 2

The solution which would help Jin determine the reasonableness of his answer is Dividing –200 by –10. option C

Which solution would help Jin determine the reasonableness of his answer?

-225 ÷ (-15)

Following the rule of PEMDAS

P = parenthesis

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

So,

-225 ÷ (-15)

parenthesis

= -225 ÷ - 15

Division

= -225/-15

= 15

The estimate of -225 to the nearest hundred is -200

The estimate of -15 to the nearest ten is -10

Hence, the reasonableness of Jin's answer can be determined by dividing -200 by -10

= -200/-10

= - 20