Using long division, write the rational number #-126/35# as a terminating decimal?

Question

Hazel Anglin · Accepted Answer

#-3.6#

The answer will be negative.

Writing down a few multiples of #35# first helps the division process.

#35: 35," "70," ", 105," " 140," " 175, " "210...#

#color(white)(............................)-color(red)(3)color(blue)(.6)# #color(white)(.......................)35)bar126.00color(white)(...................) larr126div35= color(red)(3)# #color(white)(..............................)ul105color(white)(.......................)larr color(red)(3)xx35=105# #color(white)(...............................)210color(white)(.....................)larr# subtract, add 0 #color(white)(...............................)ul210color(white)(..........................)210div35=color(blue)(6)#

Savannah Anderson · Answer

undefined To write the rational number $-\frac{126}{35}$ as a terminating decimal using long division, follow these steps:

1. Perform the division: $-126 \div 35$

```
    -3.6
  ____________
35 | -126.00
     -105
    ________
      -210
     -210
    _______
         0
```

2. The quotient is $-3.6$.

So, $-\frac{126}{35}$ written as a terminating decimal is $-3.6$.