a. 0.927
We have:
0.98 – 0.053
We can re-write it as:
0. 9 8 0 -
0. 0 5 3
Moving digits to the right:
0. 9 7 10 -
0. 0 5 3
Digit-per-digit subtraction:
0. 9 2 7
b. 0.27
We have:
0.67 – 0.4
We can re-write it as:
0. 6 7 -
0. 4 0
Digit-per-digit subtraction:
0. 2 7
c. 0.298
We have:
0.3 – 0.002
We can re-write it as:
0. 3 0 0 -
0. 0 0 2
Moving digits to the right:
0. 2 10 0 -
0. 0 0 2
Again:
0. 2 9 10 -
0. 0 0 2
Digit-per-digit subtraction:
0. 2 9 8
d. 2.411
We have:
3.2 – .789
We can re-write it as:
3. 2 0 0 -
0. 7 8 9
We need to rewrite the first term by moving digits to the right several times:
3. 2 0 0 = 2. 12 0 0 = 2. 11 10 0 = 2. 11 9 10
So now we have:
2. 11 9 10 -
0. 7 8 9
Digit-per-digit subtraction:
2. 4 1 1
e. 2.232
We have:
6.53 – 4.298
We can re-write it as:
6. 5 3 0 -
4. 2 9 8
We need to rewrite the first term by moving digits to the right several times:
6. 5 3 0 = 6. 5 2 10 = 6. 4 12 10
So now we have:
6. 4 12 10 -
4. 2 9 8
Digit-per-digit subtraction:
2. 2 3 2
f. 1.68
We have:
6 – 4.32
We can re-write it as:
6. 0 0 -
4. 3 2
We need to rewrite the first term by moving digits to the right several times:
6. 0 0 = 5. 10 0 = 5. 9 10
So now we have:
5. 9 10 -
4. 3 2
Digit-per-digit subtraction:
1. 6 8
g. 4.426
We have:
7 – 3.574
We can re-write it as:
7. 0 0 0 -
3. 5 7 4
We need to rewrite the first term by moving digits to the right several times:
7. 0 0 0 = 6. 10 0 0 = 6. 9 10 0 = 6. 9 9 10
So now we have:
6. 9 9 10 -
3. 5 7 4 =
Digit-per-digit subtraction:
3. 4 2 6
h. 3.03
We have:
4.83 – 1.8
We can re-write it as:
4. 8 3 -
1. 8 0
We can immediately do the digit-per-digit subtraction:
3. 0 3
i. 2.9
We have:
3.7 – 1.8
We can re-write it as:
3. 7 -
1. 8
We need to rewrite the first term by moving digits to the right:
3. 7 = 2. 17
So now we have:
2. 17 -
1. 8 =
Digit-per-digit subtraction:
2. 9
j. 4.538
We have:
16.17 – 11.632
We can re-write it as:
1 6 . 1 7 0 -
1 1 . 6 3 2
We need to rewrite the first term by moving digits to the right:
1 6. 1 7 0 = 1 6. 1 6 10 = 1 5. 11 6 10
So now we have:
1 5. 11 6 10 -
1 1. 6 3 2 =
Digit-per-digit subtraction:
0 4. 5 3 8