Worksheet: Dividing Decimals by Powers of Ten

In this worksheet, we will practice using patterns to investigate the effects of dividing numbers by increasing and decreasing powers of 10.

Q1:

What is 6 6 8 . 7 ÷ 1 , 0 0 0 ?

Q2:

Complete the figure shown.

  • A10, 2.15
  • B100, 0.0215
  • C100, 2.15
  • D10, 0.0215

Q3:

Complete the following table:

Number N u m b e r ÷ 1 0 N u m b e r ÷ 1 0 0 N u m b e r ÷ 1 , 0 0 0
231.72
  • A 2,317.2, 23,172, 0.23172
  • B 2,317.2, 2.3172, 0.23172
  • C 23.172, 2.3172, 231,720
  • D23.172, 2.3172, 0.23172

Q4:

Complete the following table:

Number ÷ 1 0 ÷ 1 0 0 ÷ 1 0 0 0
45,332
  • A 4,533.2, 45.332, 4.533
  • B 453.32, 4,533.2, 45,332
  • C 45.332, 4,533.2, 45,332
  • D 4,533.2, 453.32, 45.332

Q5:

A girl bought 10 kg of fruit for 1 2 8 p o u n d s . What is the price of one kilogram of fruit?

Q6:

If 1 9 9 = 0 . 0 1 0 1 0 1 and 2 9 9 = 0 . 0 2 0 2 0 2 , find 3 9 9 without using a calculator and giving the answer to six decimal places.

Q7:

If 1 9 = 0 . 1 1 1 1 1 and 2 9 = 0 . 2 2 2 2 2 , find 4 9 without using a calculator and giving the answer to five decimal places.

Q8:

Complete the following table:

Number ÷ 1 0 ÷ 1 0 0 ÷ 1 0 0 0
16,439
  • A 1,643.9, 16.439, 1.644
  • B 164.39, 1,643.9, 16,439
  • C 16.439, 1,643.9, 16,439
  • D 1,643.9, 164.39, 16.439

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