Lesson Worksheet: Multiplying Decimals by Powers of Ten Mathematics • 5th Grade

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

Q1:

Calculate 52.35×10.

Q2:

Complete the following table:

Number Number × 10 Number × 100 Number ×1,000
13.7319 ⋯⋯⋯
  • A1,373.19, 13,731.9, 137,319
  • B137.319, 1,373.19, 13,731.9
  • C1.37319, 0.137319, 0.0137319
  • D137.319, 1,373.19, 137,319

Q3:

The height of Mount Everest, in meters, can be found by multiplying 8.848 by 1,000. Find the height of Mount Everest.

Q4:

Complete the table.

Number ×10×100×1,000
96.167………
  • A96.167, 106.167, 196.167
  • B96.167, 961.67, 9,616.7
  • C106.167, 196.167, 1,096.167
  • D961.67, 9,616.7, 96,167

Q5:

Fill in the blanks: 254.448=×10=×100=×1,000.

  • A2,544.48, 25,444.8, 254,448
  • B2,544.48, 2.54448, 0.254448
  • C25.4448, 2.54448, 2,544.48
  • D25.4448, 2.54448, 0.254448

Q6:

Complete the following pattern: 8,938.3,893.83,89.383,,,.

  • A0.89383,0.089383,0.0089383
  • B893.83,8,938.3,89,383
  • C0.089383,0.89383,8.9383
  • D8.9383,0.89383,0.089383

Q7:

Find the next number in the following pattern: 25.1, 251, 2,510, .

Q8:

Find the next number in the following pattern: 0.24, 2.4, 24, .

Q9:

A teacher bought 100 pens for their students. If one pen costs 1.25 pounds, how much do the 100 pens cost?

Q10:

Calculate 3.004×10,000.

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