Mental maths · lesson 22 of 28 · free

Multiply 3-digit by 1-digit, hundreds first — Mental Maths Mastery

This is the tens-first idea with one more place. Multiply the hundreds first — that gives you the size of the answer straight away — then add the tens part and the ones part to a running total.

How to do it in your head

Biggest part first — “multiply hundreds, tens and ones, and keep a running total”

  1. Split the 3-digit number into hundreds, tens and ones.
  2. Multiply the hundreds and keep that number in your head.
  3. Multiply the tens and add, then multiply the ones and add.

Use it for: Cost of 7 tickets at ₹346, distances over a week, and checking long multiplication.

Worked example: 346 × 7 = 2422

  1. 300 × 7 = 2100.
  2. 40 × 7 = 280, and 2100 + 280 = 2380.
  3. 6 × 7 = 42, and 2380 + 42 = 2422.

Check: 350 × 7 = 2450, and 2450 − 4 × 7 = 2450 − 28 = 2422 ✓

✏️ Practice

Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.

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🏁 Lesson 22 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🏗️ Hundreds Builder badge when you pass — and a certificate when you finish all 9 lessons of Part 4 · Bigger numbers, fractions and the calendar. You can still take the test without signing in.

🖨️ 3-Digit by 1-Digit Multiplication Worksheet

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