Solve -5×-49÷14×-10: Multiple Operations with Negative Numbers

Video Solution

Solution Steps

00:00 Solve

00:05 Let's write division as a fraction

00:15 Negative times negative always equals positive

00:33 Let's factor 49 into factors 7 and 7, and 14 into factors 7 and 2

00:47 Let's reduce what we can

00:56 Let's factor 10 into factors 5 and 2

01:00 Let's reduce what we can

01:08 Positive times negative always equals negative

01:18 And this is the solution to the question

Step-by-Step Solution

Let's write the exercise in the following way:

$\frac{-5\times-49}{14}\times-10=$

Note that in the numerator of the fraction we are multiplying two negative numbers, therefore the result must be a positive number:

$\frac{5\times49}{14}\times-10=$

Break down 49 and 14 into multiplication exercises:

$\frac{5\times7\times7}{7\times2}\times-10=$

Reduce the 7 in the numerator and denominator of the fraction and proceed to break down the 10 into a multiplication exercise:

$\frac{5\times7}{2}\times-5\times2=$

Reduce the 2 and note that we are multiplying a positive number by a negative number, therefore the result must be negative:

$-5\times7\times5=$

Let's solve the exercise from left to right.

Note that first we are multiplying a negative number by a positive number, therefore the result must be a negative number:

$-5\times7=-35$

We obtain the following:

$-35\times5=$

Note that we are multiplying a negative number by a positive number, therefore the result must be a negative number:

$-175$