Worksheet: Dividing Decimals by Powers of Ten

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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 668.7÷1,000?

Q2:

Complete the figure shown.

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

Q3:

Complete the following table:

NumberNumber÷10Number÷100Number÷1,000
231.72………
  • A23.172, 2.3172, 231,720
  • B23.172, 2.3172, 0.23172
  • C2,317.2, 2.3172, 0.23172
  • D2,317.2, 23,172, 0.23172

Q4:

Complete the following table:

Number ÷10÷100÷1,000
45,332⋯⋯⋯
  • A45.332, 4,533.2, 45,332
  • B4,533.2, 453.32, 45.332
  • C4,533.2, 45.332, 4.533
  • D453.32, 4,533.2, 45,332

Q5:

A girl bought 10 kg of fruit for 128pounds. What is the price of 1 kilogram of fruit?

Q6:

If 199=0.010101 and 299=0.020202, find 399 without using a calculator and giving the answer to six decimal places.

Q7:

If 19=0.11111 and 29=0.22222, find 49 without using a calculator and giving the answer to five decimal places.

Q8:

Complete the following table:

Number ÷10÷100÷1,000
16,439⋯⋯⋯
  • A16.439, 1,643.9, 16,439
  • B1,643.9, 164.39, 16.439
  • C1,643.9, 16.439, 1.644
  • D164.39, 1,643.9, 16,439

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