PracticeQuestionsYears 1–7
← Mathematics

Times tables with decimals; scaling by 10 and 100

Year 5 · Upper Key Stage 2 · 5NF-1, 5NF-2, 5MD-1 — Facts × 0.1; place value with decimal facts; × and ÷ 10, 100 as scaling

Draft — awaiting teacher review

Builds on: Multiplying and dividing by 10 and 100 (Year 4), Tenths, hundredths and decimal place value (Year 5)

I

Concept Anchor

0.7 is 7 tenths. So 0.7 × 8 is 7 tenths × 8 = 56 tenths. 56 tenths is 5.6.

Worked example

0.7×80.7 \times 8

  1. 1.Use the fact 7 × 8 = 56.
  2. 2.0.7 is ten times smaller than 7.
  3. 3.So the answer is ten times smaller than 56.
  4. 4.0.7×8=5.60.7 \times 8 = 5.6.
II

Guided Check

What is 0.3×40.3 \times 4?

    III

    Independent Diagnostic Practice

    Q1Year 55NF-1 — Multiply by 0.1·Fluency·●○○Draft — awaiting teacher review

    What is 6×0.16 \times 0.1?

    Q2Year 55NF-2 — Use a fact with decimals·Reasoning·●●○Draft — awaiting teacher review

    7×8=567 \times 8 = 56. So what is 0.7×80.7 \times 8?

    Q3Year 55MD-1 — Scale by 100·Problem Solving·●●●Draft — awaiting teacher review

    A real car is 100 times as long as a toy model. The model is 4.2 cm long. How long is the real car?