Decimals and Fractions

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Questions and Answers

Which of the following represents 'Nine hundredths' in decimal form?

  • 0.009
  • 0.90
  • 0.09 (correct)
  • 0.9

When arranging the numbers 0.235, 0.325, 0.352, 0.523 and 0.532 in ascending order, what is the correct sequence?

  • 0.235, 0.532, 0.325, 0.352, 0.523
  • 0.235, 0.325, 0.352, 0.523, 0.532 (correct)
  • 0.532, 0.523, 0.352, 0.325, 0.235
  • 0.523, 0.352, 0.532, 0.235, 0.325

If you subtract 3.75 from 12.5, what is the result?

  • 9.25
  • 15.75
  • 16.25
  • 8.75 (correct)

What is the result of multiplying 7.56 by 0.3?

<p>2.268 (B)</p> Signup and view all the answers

Neha runs 5 laps around a track that is 0.8 kilometers long. What is the total distance Neha runs?

<p>4 kilometers (B)</p> Signup and view all the answers

Flashcards

What is a decimal?

A number expressed in base-10 notation, using digits 0-9 and a decimal point to separate the whole and fractional parts.

What is decimal to fraction conversion?

Converting a decimal involves expressing it as a ratio of two integers. The number of decimal places determines the power of 10 in the denominator.

What is ascending order in decimals?

Arranging numbers from smallest to largest. In decimals, compare the whole part first, then the tenths, hundredths, and so on.

What is descending order in decimals?

Arranging numbers from largest to smallest. Compare the whole number part first, then the tenths, hundredths, and so on.

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Decimal addition/subtraction

Adding or subtracting decimals requires aligning decimal points to ensure correct place value operations.

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Study Notes

Decimals

  • 0.3, 3.25, 0.087, and 0.09 are decimals.

Fractions

  • 0.6 equals 6/10, 0.75 equals 75/100, 0.08 equals 8/100, and 0.876 equals 876/1000

Decimal Names

  • Four tenths = 0.4
  • Fifty-six hundredths = 0.56
  • Nine hundredths = 0.09
  • One and three tenths = 1.31
  • Two and seventy-five hundredths = 2.75

Number names for decimals

  • 89.86 is Eighty-nine point eight six.
  • 5.023 is Five point zero two three.
  • 0.002 is Two thousandths.
  • 45.231 is Forty-five point two three one.

Comparison

  • 1 < 2
  • 2 < 3
  • 3 > 4
  • 4 =
  • 5 <
  • 6 <

Ascending Order

  • 0.235, 0.325, 0.352, 0.523, 0.532
  • 1.005, 1.050, 1.500, 1.505, 1.550
  • 0.078, 0.087, 0.870, 0.878, 0.887
  • 2.01, 2.101, 2.10, 2.11, 2.111
  • 3.003, 3.030, 3.300, 3.303, 3.330

Descending Order

  • 4.990, 4.909, 4.900, 4.090, 4.009
  • 5.321, 5.231, 5.213, 5.132, 5.123
  • 6.504, 6.450, 6.405, 6.054, 6.045
  • 7.5555, 7.555, 7.55, 7.5
  • 8.210, 8.201, 8.102, 8.02, 8.01

Addition and Subtraction

  • 3.75 + 4.21 = 7.96
  • 15.8 + 0.35 = 16.15
  • 9.007 + 1.994 = 11.001
  • 23.45 + 7.345 = 30.795
  • 0.089 + 0.911 = 1.000
  • 12.5 - 3.75 = 8.75
  • 8.64 - 2.15 = 6.49
  • 14.009 - 3.004 = 11.005
  • 30.5 - 15.75 = 14.75
  • 0.876 - 0.321 = 0.555

Multiplication and Division

  • 3.5 * 2.4 = 8.4
  • 7.56 * 0.3 = 2.268
  • 1.25 * 4.08 = 5.1
  • 0.07 * 5.5 = 0.385
  • 6.32 * 2.15 = 13.578
  • 3.75 / 10 = 0.375
  • 120.8 / 100 = 1.208
  • 56.32 / 100 = 0.5632
  • 789.1 / 1000 = 0.7891
  • 8.4 / 2 = 4.2

Riya & Meera Story Sum

  • Riya's jump distance is 2.4 meters, while Meera's jump distance is 2.35 meters.
  • Riya jumped farther because 2.4 m > 2.35 m.
  • The difference between their jumps is 0.05 meters (2.4 m - 2.35 m = 0.05 m).

Manav Story Sum

  • The cost of one pen is ₹5.75.
  • Manav buys 4 pens.
  • The total cost for 4 pens is ₹23.00 (5.75 * 4 = 23.00).

Rajiv Story Sum

  • Rajiv initially had ₹10.00.
  • He gave ₹3.25 to his brother and ₹2.50 to his sister.
  • In total, Rajiv gave away ₹5.75 (3.25 + 2.50 = 5.75).
  • Rajiv has ₹4.25 left (10.00 - 5.75 = 4.25).

Neha Story Sum

  • The length of one lap is 0.8 kilometers.
  • Neha runs 5 laps.
  • The total distance Neha runs is 4.0 kilometers (0.8 km * 5 = 4.0 km).

Chocolate Bar Story Sum

  • The total weight of the chocolate bar is 1.5 kg.
  • The number of friends is 5.
  • Each friend gets 0.3 kg of chocolate (1.5 kg / 5 = 0.3 kg).

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