Let's solve each problem using the number lines provided. The goal is to use the number line to visualize addition and subtraction.
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1. 28 + 28 = ___
Number Line:
Range: 0 to 60, marked in increments of 4.
- Start at
28.
- Add 28 by moving
28 units to the right.
- From 28, move 28 more:
- 28 → 32 (4), 36 (8), 40 (12), 44 (16), 48 (20), 52 (24), 56 (28).
- So,
28 + 28 = 56
✔ Answer: 56
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2. 19 – 7 = ___
Number Line:
Range: 0 to 20, marked in increments of 1.
- Start at
19.
- Subtract 7 by moving
7 units to the left.
- 19 → 18 (1), 17 (2), 16 (3), 15 (4), 14 (5), 13 (6), 12 (7).
- So,
19 – 7 = 12
✔ Answer: 12
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3. 27 + 3 = ___
Number Line:
Range: 0 to 30, marked in increments of 3.
- Start at
27.
- Add 3 by moving
3 units to the right.
- Next tick after 27 is
30.
- So,
27 + 3 = 30
✔ Answer: 30
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4. 171 – 108 = ___
Number Line:
Range: 0 to 180, marked in increments of 9.
- Start at
171.
- Subtract 108 by moving
108 units to the left.
- Let's count backwards:
- 171 → 162 (9), 153 (18), 144 (27), 135 (36), 126 (45), 117 (54), 108 (63), 99 (72), 90 (81), 81 (90), 72 (99), 63 (108).
- Wait — we need to go
108 units left from 171.
- But notice:
- 171 – 108 = ?
- Think: 171 – 100 = 71, then 71 – 8 =
63
- Check on number line:
- From 171 → subtract 108 → land on
63?
- 171 – 108 = 63? Let’s verify: 108 + 63 = 171
✔ Yes!
- So,
171 – 108 = 63
✔ Answer: 63
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5. 8 + 1 = ___
Number Line:
Range: 0 to 20, marked in increments of 1.
- Start at
8.
- Add 1 → move one unit to the right.
- 8 → 9
- So,
8 + 1 = 9
✔ Answer: 9
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✔ Final Answers:
1.
56
2.
12
3.
30
4.
63
5.
9
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Let me know if you'd like a visual explanation or how to draw these steps on the number lines!
Parent Tip: Review the logic above to help your child master the concept of adding integers on a number line worksheet.