Ordering decimals

The Maths Habit

Ben has more coins. Who has more money?

Amy10p10p10p10p10p50pBen10p10p10p10p1p1p1p1p1p1p1p1p1p49p

Amy. More coins is not more money. The big coins count first.

Which is more money, A or B?

1A10p10p10pAB10p10p1p1p1p1p1p1p1p1p2A10p10p10p10p10p10p1pBB10p10p10p10p10p10p1p1p1p1p3A£1AB10p10p10p10p10p10p10p10p10p

Decimal point
The dot between the ones and the tenths.
O£1t10ph1p
Tenths
The first column after the decimal point.
O£1t10ph1p
Hundredths
The second column after the decimal point.
O£1t10ph1p

O£1t10ph1p0
  1. 1Line up the points.Write each digit in its column. The points go in one column.
  2. 2Fill the gaps with zeros.Now every number has the same number of columns.
  3. 3Compare column by column.Start on the left. The first column that is different decides.

Which is bigger, 0.6 or 0.58?

1Line up the points.
2Fill the gaps with zeros.
Oth0.60600.58058
3Compare column by column.
0.6 is bigger.

Which is bigger, 0.4 or 0.43?

1Line up the points.
2Fill the gaps with zeros.
Oth0.40400.43043
3Compare column by column.
0.43 is bigger.

Which is bigger, 0.6 or 0.58?

1Line up the points.
2Fill the gaps with zeros.
Oth0.60600.58058
3Compare column by column.
0.6 is bigger.
1Line up the points.2Fill the gaps with zeros.3Compare column by column.

Which is bigger, 0.29 or 0.3?

1Line up the points.
2Fill the gaps with zeros.
Oth0.290290.3030
3Compare column by column.
0.3 is bigger.

Which is bigger, 0.6 or 0.58?

1Line up the points.
2Fill the gaps with zeros.
Oth0.60600.58058
3Compare column by column.
0.6 is bigger.
1Line up the points.2Fill the gaps with zeros.3Compare column by column.

Which is bigger, 2.5 or 2.56?

1Line up the points.
2Fill the gaps with zeros.
Oth2.52502.56256
3Compare column by column.
2.56 is bigger.

Which is bigger, 0.6 or 0.58?

1Line up the points.
2Fill the gaps with zeros.
Oth0.60600.58058
3Compare column by column.
0.6 is bigger.
1Line up the points.2Fill the gaps with zeros.3Compare column by column.

Which is bigger, 0.09 or 0.1?

1Line up the points.
2Fill the gaps with zeros.
Oth0.090090.1010
3Compare column by column.
0.1 is bigger.

1Line up the points.2Fill the gaps with zeros.3Compare column by column.

1Which is bigger, 0.5 or 0.48?

1Line up the points.
2Fill the gaps with zeros.
Oth0.50500.48048
3Compare column by column.
0.5 is bigger.

2Which is bigger, 0.7 or 0.72?

1Line up the points.
2Fill the gaps with zeros.
Oth0.70700.72072
3Compare column by column.
0.72 is bigger.

3Which is bigger, 3.4 or 3.38?

1Line up the points.
2Fill the gaps with zeros.
Oth3.43403.38338
3Compare column by column.
3.4 is bigger.

4Which is bigger, 1.2 or 0.95?

1Line up the points.
2Fill the gaps with zeros.
Oth1.21200.95095
3Compare column by column.
1.2 is bigger.

O£1t10ph1pOrder03201
smallestlargest
  1. 1Line up the points.Write each digit in its column. The points go in one column.
  2. 2Fill the gaps with zeros.Now every number has the same number of columns.
  3. 3Compare column by column.Start on the left. The first column that is different decides.
  4. 4Write them in order.Smallest first, unless the question says largest.

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder0.707040.6506530.0700710.60602
4Write them in order.
0.070.60.650.7
smallestlargest

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder1.313041.2512531.0310311.21202
4Write them in order.
1.031.21.251.3
smallestlargest

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder0.707040.6506530.0700710.60602
4Write them in order.
0.070.60.650.7
smallestlargest
1Line up the points.2Fill the gaps with zeros.3Compare column by column.4Write them in order.

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder0.505030.4504520.5405440.40401
4Write them in order.
0.40.450.50.54
smallestlargest

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder0.707040.6506530.0700710.60602
4Write them in order.
0.070.60.650.7
smallestlargest
1Line up the points.2Fill the gaps with zeros.3Compare column by column.4Write them in order.

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder2.828023.131032.752751
4Write them in order.
2.752.83.1
smallestlargest

Write in order, smallest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder0.707040.6506530.0700710.60602
4Write them in order.
0.070.60.650.7
smallestlargest
1Line up the points.2Fill the gaps with zeros.3Compare column by column.4Write them in order.

Write in order, largest first.

1Line up the points.
2Fill the gaps with zeros.
3Compare column by column.
OthOrder0.303030.3503520.0300340.40401
4Write them in order.
0.40.350.30.03
largestsmallest

Ordering decimals worksheet, page 1

Ordering decimals worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 0.5 is bigger than 0.45

    Right

  2. 0.3 is smaller than 0.25

    Wrong: 0.30 is bigger than 0.25

  3. 0.08 is bigger than 0.1

    Wrong: 0.08 is smaller than 0.10

  4. 1.2 is bigger than 0.95

    Right

  5. 0.6 is smaller than 0.61

    Right

  1. Write a number between 0.4 and 0.5.

    0.45, for example

  2. Write in order, smallest first: 0.6, 0.606, 0.66, 0.066

    0.066, 0.6, 0.606, 0.66

  3. Which is bigger, 13.4 or 3.44?

    13.4 (13 ones beat 3 ones)

  1. Which is bigger, 0.7 or 0.68?

    0.7
    Oth0.7070.680681Line upthe points.2Fill the gapswith zeros.3Compare columnby column.is bigger.

  2. Write in order, smallest first.

    1.04, 1.35, 1.4
    OthOrder1.41.351.041Line upthe points.2Fill the gapswith zeros.3Compare columnby column.4Write themin order.smallestlargest

  3. Write in order, smallest first: 0.2, 0.19, 0.21, 0.1

    0.1, 0.19, 0.2, 0.21
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