Subtracting Decimals Using Grids Worksheets - Free Printable
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Step-by-step solution for: Subtracting Decimals Using Grids Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting Decimals Using Grids Worksheets
Here are the solutions for the subtraction problems. I have worked through each one carefully, aligning the decimal points and borrowing where necessary.
1) 78.6 - 13.7
- Align the decimals: $78.6 - 13.7$
- Subtract tenths: $6 - 7$ requires borrowing. Borrow from the ones place (8 becomes 7). $16 - 7 = 9$.
- Subtract ones: $7 - 3 = 4$.
- Subtract tens: $7 - 1 = 6$.
- Result: 64.9
2) 873.9 - 525.4
- Align the decimals: $873.9 - 525.4$
- Subtract tenths: $9 - 4 = 5$.
- Subtract ones: $3 - 5$ requires borrowing. Borrow from the tens place (7 becomes 6). $13 - 5 = 8$.
- Subtract tens: $6 - 2 = 4$.
- Subtract hundreds: $8 - 5 = 3$.
- Result: 348.5
3) 6.5 - 4.8
- Align the decimals: $6.5 - 4.8$
- Subtract tenths: $5 - 8$ requires borrowing. Borrow from the ones place (6 becomes 5). $15 - 8 = 7$.
- Subtract ones: $5 - 4 = 1$.
- Result: 1.7
4) 246.2 - 8.3
- Align the decimals: $246.2 - 08.3$
- Subtract tenths: $2 - 3$ requires borrowing. Borrow from the ones place (6 becomes 5). $12 - 3 = 9$.
- Subtract ones: $5 - 8$ requires borrowing. Borrow from the tens place (4 becomes 3). $15 - 8 = 7$.
- Subtract tens: $3 - 0 = 3$.
- Subtract hundreds: $2 - 0 = 2$.
- Result: 237.9
5) 55.1 - 28.2
- Align the decimals: $55.1 - 28.2$
- Subtract tenths: $1 - 2$ requires borrowing. Borrow from the ones place (5 becomes 4). $11 - 2 = 9$.
- Subtract ones: $4 - 8$ requires borrowing. Borrow from the tens place (5 becomes 4). $14 - 8 = 6$.
- Subtract tens: $4 - 2 = 2$.
- Result: 26.9
6) 99.7 - 4.5
- Align the decimals: $99.7 - 04.5$
- Subtract tenths: $7 - 5 = 2$.
- Subtract ones: $9 - 4 = 5$.
- Subtract tens: $9 - 0 = 9$.
- Result: 95.2
7) 492.3 - 6.1
- Align the decimals: $492.3 - 006.1$
- Subtract tenths: $3 - 1 = 2$.
- Subtract ones: $2 - 6$ requires borrowing. Borrow from the tens place (9 becomes 8). $12 - 6 = 6$.
- Subtract tens: $8 - 0 = 8$.
- Subtract hundreds: $4 - 0 = 4$.
- Result: 486.2
8) 381.8 - 37.2
- Align the decimals: $381.8 - 037.2$
- Subtract tenths: $8 - 2 = 6$.
- Subtract ones: $1 - 7$ requires borrowing. Borrow from the tens place (8 becomes 7). $11 - 7 = 4$.
- Subtract tens: $7 - 3 = 4$.
- Subtract hundreds: $3 - 0 = 3$.
- Result: 344.6
9) 965.4 - 100.9
- Align the decimals: $965.4 - 100.9$
- Subtract tenths: $4 - 9$ requires borrowing. Borrow from the ones place (5 becomes 4). $14 - 9 = 5$.
- Subtract ones: $4 - 0 = 4$.
- Subtract tens: $6 - 0 = 6$.
- Subtract hundreds: $9 - 1 = 8$.
- Result: 864.5
10) 612.1 - 114.6
- Align the decimals: $612.1 - 114.6$
- Subtract tenths: $1 - 6$ requires borrowing. Borrow from the ones place (2 becomes 1). $11 - 6 = 5$.
- Subtract ones: $1 - 4$ requires borrowing. Borrow from the tens place (1 becomes 0). $11 - 4 = 7$.
- Subtract tens: $0 - 1$ requires borrowing. Borrow from the hundreds place (6 becomes 5). $10 - 1 = 9$.
- Subtract hundreds: $5 - 1 = 4$.
- Result: 497.5
Final Answer:
1) 64.9
2) 348.5
3) 1.7
4) 237.9
5) 26.9
6) 95.2
7) 486.2
8) 344.6
9) 864.5
10) 497.5
1) 78.6 - 13.7
- Align the decimals: $78.6 - 13.7$
- Subtract tenths: $6 - 7$ requires borrowing. Borrow from the ones place (8 becomes 7). $16 - 7 = 9$.
- Subtract ones: $7 - 3 = 4$.
- Subtract tens: $7 - 1 = 6$.
- Result: 64.9
2) 873.9 - 525.4
- Align the decimals: $873.9 - 525.4$
- Subtract tenths: $9 - 4 = 5$.
- Subtract ones: $3 - 5$ requires borrowing. Borrow from the tens place (7 becomes 6). $13 - 5 = 8$.
- Subtract tens: $6 - 2 = 4$.
- Subtract hundreds: $8 - 5 = 3$.
- Result: 348.5
3) 6.5 - 4.8
- Align the decimals: $6.5 - 4.8$
- Subtract tenths: $5 - 8$ requires borrowing. Borrow from the ones place (6 becomes 5). $15 - 8 = 7$.
- Subtract ones: $5 - 4 = 1$.
- Result: 1.7
4) 246.2 - 8.3
- Align the decimals: $246.2 - 08.3$
- Subtract tenths: $2 - 3$ requires borrowing. Borrow from the ones place (6 becomes 5). $12 - 3 = 9$.
- Subtract ones: $5 - 8$ requires borrowing. Borrow from the tens place (4 becomes 3). $15 - 8 = 7$.
- Subtract tens: $3 - 0 = 3$.
- Subtract hundreds: $2 - 0 = 2$.
- Result: 237.9
5) 55.1 - 28.2
- Align the decimals: $55.1 - 28.2$
- Subtract tenths: $1 - 2$ requires borrowing. Borrow from the ones place (5 becomes 4). $11 - 2 = 9$.
- Subtract ones: $4 - 8$ requires borrowing. Borrow from the tens place (5 becomes 4). $14 - 8 = 6$.
- Subtract tens: $4 - 2 = 2$.
- Result: 26.9
6) 99.7 - 4.5
- Align the decimals: $99.7 - 04.5$
- Subtract tenths: $7 - 5 = 2$.
- Subtract ones: $9 - 4 = 5$.
- Subtract tens: $9 - 0 = 9$.
- Result: 95.2
7) 492.3 - 6.1
- Align the decimals: $492.3 - 006.1$
- Subtract tenths: $3 - 1 = 2$.
- Subtract ones: $2 - 6$ requires borrowing. Borrow from the tens place (9 becomes 8). $12 - 6 = 6$.
- Subtract tens: $8 - 0 = 8$.
- Subtract hundreds: $4 - 0 = 4$.
- Result: 486.2
8) 381.8 - 37.2
- Align the decimals: $381.8 - 037.2$
- Subtract tenths: $8 - 2 = 6$.
- Subtract ones: $1 - 7$ requires borrowing. Borrow from the tens place (8 becomes 7). $11 - 7 = 4$.
- Subtract tens: $7 - 3 = 4$.
- Subtract hundreds: $3 - 0 = 3$.
- Result: 344.6
9) 965.4 - 100.9
- Align the decimals: $965.4 - 100.9$
- Subtract tenths: $4 - 9$ requires borrowing. Borrow from the ones place (5 becomes 4). $14 - 9 = 5$.
- Subtract ones: $4 - 0 = 4$.
- Subtract tens: $6 - 0 = 6$.
- Subtract hundreds: $9 - 1 = 8$.
- Result: 864.5
10) 612.1 - 114.6
- Align the decimals: $612.1 - 114.6$
- Subtract tenths: $1 - 6$ requires borrowing. Borrow from the ones place (2 becomes 1). $11 - 6 = 5$.
- Subtract ones: $1 - 4$ requires borrowing. Borrow from the tens place (1 becomes 0). $11 - 4 = 7$.
- Subtract tens: $0 - 1$ requires borrowing. Borrow from the hundreds place (6 becomes 5). $10 - 1 = 9$.
- Subtract hundreds: $5 - 1 = 4$.
- Result: 497.5
Final Answer:
1) 64.9
2) 348.5
3) 1.7
4) 237.9
5) 26.9
6) 95.2
7) 486.2
8) 344.6
9) 864.5
10) 497.5
Parent Tip: Review the logic above to help your child master the concept of subtracting decimals worksheet.