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Move the decimal point: 5th grade math

Multiply/divide by powers of 10 (decimal-point shift). A free 5th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: multiply/divide by powers of 10 (decimal-point shift).

Teach (10 min)

  • Times 10, 100, 1000 moves the point right.
  • Divided by moves it left.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/numsense.g5_decShift?lesson=5-numsense-decshift-1&at=5

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. 9.4 × 10 = ?
  • 2. 72 ÷ 10 = ?
  • 3. 231 ÷ 100 = ?

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. 9.4 × 10 = ?
  2. 72 ÷ 10 = ?
  3. 231 ÷ 100 = ?
  4. 8.2 × 100 = ?
  5. 209 ÷ 1,000 = ?
  6. 9.7 × 10 = ?
  7. 0.6 × 1,000 = ?
  8. 160 ÷ 100 = ?
  9. 860 ÷ 1,000 = ?
  10. 2.0 × 100 = ?
Answers
  1. 94
  2. 7.2
  3. 2.31
  4. 820
  5. 0.209
  6. 97
  7. 600
  8. 1.6
  9. 0.86
  10. 200

Printable sheet

Name: ____________________   Date: ____________

Move the decimal point (5th grade)

  1. 8.0 × 100 = ?
  2. 483 ÷ 1,000 = ?
  3. 5.4 × 10 = ?
  4. 380 ÷ 10 = ?
  5. 183 ÷ 100 = ?
  6. 5.5 × 100 = ?
  7. 6.9 × 10 = ?
  8. 9.2 × 10 = ?
  9. 0.21 × 1,000 = ?
  10. 7.5 × 10 = ?
  11. 2.46 ÷ 3 = ?
  12. 5.7 × 1,000 = ?
Key
  1. 800
  2. 0.483
  3. 54
  4. 38
  5. 1.83
  6. 550
  7. 69
  8. 92
  9. 210
  10. 75
  11. 0.82
  12. 5700

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.