Understanding Multiplication of Negative Numbers and Powers of 10

To find the value of (-2)×125, we need to understand two concepts: multiplication of negative numbers and powers of 10.

Multiplication of Negative Numbers: When two negative numbers are multiplied, the product is positive. For example, (-2)×(-3) = 6.

Powers of 10: When a number is multiplied by a power of 10, the digits move to the left by the number of zeros in the power of 10. For example, 125×10³ = 125,000.

Calculation:

(-2)×125 can be written as (-2)×(5×5×5).

Using the concept of multiplication of negative numbers, (-2)×(-1)×5×5×5 = 10×125.

Using the concept of powers of 10, 10×125 = 1.25×10²×10³ = 1,25000.

Therefore, the value of (-2)×125 is 1,25000.

Conclusion: The value of (-2)×125 is 1,25000. We can use the concepts of multiplication of negative numbers and powers of 10 to easily calculate the value.