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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

MistakeWhyFix
9 × 10 = 910Appending digits wrongly10 × 9 = 90
7 × 8 = 54Guess without splittingUse 7×5 + 7×3 = 56
6 × 0 = 6Ignoring zero propertyAny number × 0 = 0
8 × 7 ≠ 7 × 8Thinking order mattersBoth 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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