Let's solve these problems step-by-step.
a) [tex]\( 6 - 10 \)[/tex]
To subtract 10 from 6, we start from 6 and move 10 units to the left on the number line.
[tex]\[ 6 - 10 = -4 \][/tex]
So, the answer to part (a) is [tex]\(-4\)[/tex].
b) [tex]\((-1) + 4\)[/tex]
To add 4 to [tex]\(-1\)[/tex], we start from [tex]\(-1\)[/tex] and move 4 units to the right on the number line.
[tex]\[ (-1) + 4 = 3 \][/tex]
So, the answer to part (b) is [tex]\(3\)[/tex].
c) [tex]\( 5 - 12 \)[/tex]
To subtract 12 from 5, we start from 5 and move 12 units to the left on the number line.
[tex]\[ 5 - 12 = -7 \][/tex]
So, the answer to part (c) is [tex]\(-7\)[/tex].
d) [tex]\((-3) - 7\)[/tex]
To subtract 7 from [tex]\(-3\)[/tex], we start from [tex]\(-3\)[/tex] and move 7 units to the left on the number line.
[tex]\[ (-3) - 7 = -10 \][/tex]
So, the answer to part (d) is [tex]\(-10\)[/tex].
In summary, the solutions are:
- [tex]\( 6 - 10 = -4 \)[/tex]
- [tex]\( (-1) + 4 = 3 \)[/tex]
- [tex]\( 5 - 12 = -7 \)[/tex]
- [tex]\( (-3) - 7 = -10 \)[/tex]
