Multiplying and Dividing by Powers of 10
An interactive lesson on screen. Your child works through worked examples, practises on their own, then tests themselves with questions that get harder as they go.
About this lesson
By the end of this lesson your child can multiply or divide any number by 10, 100, 1,000 or 10,000, whole number or decimal, and know exactly how many columns every digit moves and which way.
Topics covered:
- Multiplying whole numbers by 10, 100, 1,000 and 10,000
- Dividing whole numbers, including the answers that cross the decimal point, for example 45 ÷ 100
- Multiplying decimals, for example 0.08 × 1,000
- Dividing decimals, for example 36.5 ÷ 1,000
- Adjusting a known fact when one number changes, using 12 × 4 = 48 to work out 12 × 400
- Adjusting when both numbers change, including the pairs that cancel out and leave the answer alone
- Using a multiplication fact and its inverse to answer a division
Your child works through this lesson on any screen. They click to reveal each step of a worked example, try the practice questions on paper, then click to check their own answer. Three interactive tools sit inside the lesson, two place value sliders where they move the digits across the columns and watch the point stay still, and a fact chain machine that scales either number in a known fact and shows what the answer has to do to keep up.
How it's structured:
- Each unit opens with two worked examples your child clicks through line by line, then 10 practice questions colour-coded easy, medium and hard
- 104 questions in total, each with a click-to-reveal answer and a reveal-all option
- A final 20-question mixed challenge pulling from all 7 units, the way these questions actually turn up on an exam paper
"Add a zero" is the rule that breaks. It works for 6 × 10 and it fails the moment a decimal appears, because 4.6 × 10 is 46 and not 4.60. "Move the decimal point" describes something that never actually happens. This lesson says neither. Every answer comes from sliding the digits along a place value chart while the point stays exactly where it is, and a zero only ever appears because a column emptied and needs holding open. That is the one explanation that still works when the numbers turn into 0.0045 × 10,000.
Use this if:
- Your child is in Year 4 to Year 11 and answers like 4.6 × 10 = 4.60 still appear in their book
- You're preparing for the 11+, where these come up as quick mental questions on the non-calculator paper
- Your child is doing GCSE Foundation, where scaling a given fact is a standard question
- You want a resource your child can check their own work with, not one more thing on your to-do list
Built by an experienced maths teacher with over 3,000 hours of one-to-one tutoring experience and a Master's in Education.
Format: Interactive digital lesson, link sent by email straight after purchase.
Suitable for: Year 4 to Year 11, 11+, KS2, KS3, KS4, GCSE Foundation.
Who this is for
Built for students who want to practise independently, at their own pace, with clear examples and instant feedback rather than a static worksheet.
What's included
Worked examples
See the method explained step by step before trying it yourself.
Guided practice
Work through questions with answers hidden until you're ready to check.
Exam-style questions
Split easy to hard, so your child is always working at the right level.
How it works
Buy the lesson
Complete checkout securely through Shopify.
Get your link by email
Your lesson link lands in your inbox straight after payment.
Work through it on screen
Open the link on any device and start straight away.
What parents say
My son has been having 11+ Maths tuition with Aadam and the improvement in his confidence and ability has been noticeable. Aadam breaks down challenging topics in a way that’s easy to understand and ensures concepts are fully grasped before moving on. The sessions are focused and well planned.F. Khushi · January 2026
Aadam, the tutor has a lovely mannerism and has made my daughter feel at ease. He explains the question in a way that she understands and is patient with her. She has already seen the results at school from his help and has gone up two GCSE grades in a short period of time.P. Flower · December 2024
Aadam is the best maths tutor I’ve ever had! His online maths lessons are easy to follow, and he always breaks down difficult topics into manageable parts. Thanks to Aadam’s tutoring, I’ve gone up two grades in maths and feel ready for my GCSE exams!L. Anggriani · December 2024
Verified 5-star Google reviews of SHLC's tutoring and lessons. Read all 62 reviews
FAQs
How do I access the lesson?
You'll get an email with your lesson link as soon as payment goes through. Click it to open the lesson in any browser, no login and no app to install.
How does the marking work?
There's no typing answers into a box. Your child works it out on paper, then clicks to reveal the correct answer and checks their own work. Full working is shown too, not just the final answer, so mistakes are easy to spot.
Does it work on a phone or tablet?
It works best on a tablet or laptop, where there's more room to read the examples and questions. It'll open on a phone too, but the text and diagrams can feel quite small on a smaller screen.
Can I use the lesson more than once?
Yes. There's no limit on how many times you open the link, so it's there for revision right up to the exam.
What if I lose the link or don't get the email?
Email info@shlc-tutor.co.uk and we'll resend it straight away.
Ready to start?
Link sent to your email, ready in seconds
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