Sure! Let's go through each arithmetic operation step-by-step to understand how to arrive at the answers.
a) [tex]\( +6 + 9 = +15 \)[/tex]
- When you add 6 and 9, you simply add the two positive numbers together:
[tex]\[ 6 + 9 = 15 \][/tex]
- So, the result is [tex]\( +15 \)[/tex].
b) [tex]\( -5 - 7 = -12 \)[/tex]
- When you subtract 7 from -5, you are moving further into the negative numbers:
[tex]\[ -5 - 7 = -12 \][/tex]
- So, the result is [tex]\( -12 \)[/tex].
c) [tex]\( +20 - 15 = +5 \)[/tex]
- When you subtract 15 from 20, you find the difference between the two numbers:
[tex]\[ 20 - 15 = 5 \][/tex]
- So, the result is [tex]\( +5 \)[/tex].
d) [tex]\( 0 - 9 = -9 \)[/tex]
- When you subtract 9 from 0, you move 9 units to the left on the number line:
[tex]\[ 0 - 9 = -9 \][/tex]
- So, the result is [tex]\( -9 \)[/tex].
e) [tex]\( +15 - 18 = -3 \)[/tex]
- When you subtract 18 from 15, you end up with a negative number because 18 is greater than 15:
[tex]\[ 15 - 18 = -3 \][/tex]
- So, the result is [tex]\( -3 \)[/tex].
f) [tex]\( -15 - 10 \)[/tex]
- When you subtract 10 from -15, you are subtracting another positive number from an already negative number:
[tex]\[ -15 - 10 = -25 \][/tex]
- So, the result is [tex]\( -25 \)[/tex].
g) [tex]\( +12 - 17 \)[/tex]
- When you subtract 17 from 12, you end up with a negative number because 17 is greater than 12:
[tex]\[ 12 - 17 = -5 \][/tex]
- So, the result is [tex]\( -5 \)[/tex].
To summarize, the results are:
a) [tex]\( +15 \)[/tex]
b) [tex]\( -12 \)[/tex]
c) [tex]\( +5 \)[/tex]
d) [tex]\( -9 \)[/tex]
e) [tex]\( -3 \)[/tex]
f) [tex]\( -25 \)[/tex]
g) [tex]\( -5 \)[/tex]
