Tables 6–10
Tables 6–10, 9-times finger trick, and splitting strategies.
Tables 6–10
Tables 6 to 10
What you'll learn
- The 6-times through 10-times tables and how they build on tables you already know.
- The 9-times finger trick and splitting (e.g. 7 × 8 = 7 × 5 + 7 × 3).
- To check answers using commutative property and known facts.
- Links to Math Mela word problems with equal groups up to 10.
Key concepts
Level 1 — Core idea
Verbal: 8 × 6 means 8 groups of 6 — or six added eight times.
Symbolic: 8 × 6 = 48; 10 × anything adds a zero (in whole-number tables).
Visual: Array: 8 rows, 6 columns → count or use 8 × 5 + 8 = 48.
Level 2 — Going deeper
9-times trick: hold up fingers for the multiplier; left side = tens, right = ones (e.g. 9 × 4 → 3 fingers down → 36). Splitting: 7 × 8 = (7 × 5) + (7 × 3) = 35 + 21 = 56.
NCERT anchor
NCERT Math Mela, Class 3 — Chapter 9 (House of Hundreds) uses larger equal groups. Practice arranging 6, 7, 8, 9, and 10 objects in rows to see arrays.
10-times rule: 10 × n = n with a zero (10 × 7 = 70). 6-times: double the 3-times answer (6 × 4 = 2 × (3 × 4) = 24).
Worked example
Find 9 × 6 using the finger trick.
Step 1 — Hold up 6 fingers on one hand (for ×6).
Step 2 — 6th finger from left is bent; 5 fingers left → 5 tens; 4 right → 4 ones.
Step 3 — Answer: **54**
Step 4 — Check: 9 × 6 = 9 × 5 + 9 = 45 + 9 = 54 ✓
Find 7 × 8 by splitting.
Step 1 — Split 8 into 5 + 3.
Step 2 — 7 × 5 = 35; 7 × 3 = 21.
Step 3 — Add: 35 + 21 = **56**
Answer: **56**
Common mistakes
| Mistake | Why | Fix |
|---|---|---|
| 9 × 10 = 910 | Appending digits wrongly | 10 × 9 = 90 |
| 7 × 8 = 54 | Guess without splitting | Use 7×5 + 7×3 = 56 |
| 6 × 0 = 6 | Ignoring zero property | Any number × 0 = 0 |
| 8 × 7 ≠ 7 × 8 | Thinking order matters | Both equal 56 |
Quick check
- What is 10 × 9?
- Use splitting to find 6 × 7.
- Show 9 × 4 on your fingers.
- Stretch: A carton holds 8 eggs. How many eggs in 9 cartons?
Revision tip: Learn one hard fact (like 7×8) by splitting; the rest follow from patterns.
Open the Practice tab for graded questions on Tables 6 to 10.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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