Explanation:
We are given a list of expressions and need to find matching pairs where one is the “double” or “triple” of another. Then we fill them with the same colour.
Let’s first compute all the values:
1.
Double of 4 × 8
4 × 8 = 32 → double = 2 × 32 =
64
2.
a) Double of 20 × 10
20 × 10 = 200 → double = 2 × 200 =
400
3.
b) Triple of 47 × 2
47 × 2 = 94 → triple = 3 × 94 =
282
4.
c) Triple of 15 × 28
15 × 28 = (10×28)+(5×28) = 280 + 140 = 420 → triple = 3 × 420 =
1260
5.
d) Triple of 12 × 8
12 × 8 = 96 → triple = 3 × 96 =
288
6.
e) Triple of 7 × 5
7 × 5 = 35 → triple = 3 × 35 =
105
7.
f) Double of 10 × 16
10 × 16 = 160 → double = 2 × 160 =
320
8.
g) Double of 24 × 12
24 × 12 = (20×12)+(4×12) = 240 + 48 = 288 → double = 2 × 288 =
576
Now look at the other expressions (not labeled a–g):
- 48 × 12 = (50−2)×12 = 600 − 24 =
576
- 12 × 24 = same as above =
288
- 21 × 5 =
105
- 320 → already computed as f)
- 47 × 6 = (47 × 2) × 3 = 94 × 3 =
282
- 45 × 28 = let’s hold for now
- 4 × 16 =
64 (already matches “Double of 4×8” = 64)
Now match equal values:
-
64:
- Double of 4 × 8 = 64
- 4 × 16 = 64
✔ Match: these two go together.
-
400:
- a) Double of 20 × 10 = 400
- Also listed: 400 (just the number)
✔ Match: a) and 400
-
282:
- b) Triple of 47 × 2 = 282
- 47 × 6 = 282
✔ Match: b) and 47 × 6
-
288:
- d) Triple of 12 × 8 = 288
- 12 × 24 = 288
✔ Match: d) and 12 × 24
-
105:
- e) Triple of 7 × 5 = 105
- 21 × 5 = 105
✔ Match: e) and 21 × 5
-
320:
- f) Double of 10 × 16 = 320
- 320 (the number)
✔ Match: f) and 320
-
576:
- g) Double of 24 × 12 = 576
- 48 × 12 = 576
✔ Match: g) and 48 × 12
Now check remaining:
- c) Triple of 15 × 28 = 1260 — no other expression equals 1260.
- 45 × 28 = let’s compute: 45 × 28 = (40×28)+(5×28) = 1120 + 140 =
1260
✔ So c) and 45 × 28 match.
All expressions are now paired.
So the matching pairs are:
1. Double of 4 × 8 ↔ 4 × 16
2. a) Double of 20 × 10 ↔ 400
3. b) Triple of 47 × 2 ↔ 47 × 6
4. c) Triple of 15 × 28 ↔ 45 × 28
5. d) Triple of 12 × 8 ↔ 12 × 24
6. e) Triple of 7 × 5 ↔ 21 × 5
7. f) Double of 10 × 16 ↔ 320
8. g) Double of 24 × 12 ↔ 48 × 12
Final Answer:
The matching pairs are:
- Double of 4 × 8 and 4 × 16
- a) Double of 20 × 10 and 400
- b) Triple of 47 × 2 and 47 × 6
- c) Triple of 15 × 28 and 45 × 28
- d) Triple of 12 × 8 and 12 × 24
- e) Triple of 7 × 5 and 21 × 5
- f) Double of 10 × 16 and 320
- g) Double of 24 × 12 and 48 × 12
Parent Tip: Review the logic above to help your child master the concept of fun worksheet for grade 4.