Multiplying decimals

The Maths Habit

A tray of brownies is cut into 100 pieces. Sam says the pink part has 7 pieces. Is Sam right?

No. 3 rows of 4 make 12 pieces.

Multiply by 10.

0.3 × 103
0.8 × 108
0.5 × 105

Tenth
One of ten equal parts of 1.
Hundredth
One of a hundred equal parts of 1.
Product
The answer when you multiply numbers.
0.3 × 0.4 = 0.12

decimal×decimal× 10× 10whole×whole=squaressquares÷100=answer
  1. 1Multiply both by 10.Count the tenths along each side.
  2. 2Multiply the whole numbers.This counts the small squares.
  3. 3Divide by 100.100 small squares make 1.

Work out 0.2 × 0.7.

0.20.7
0.2×0.71× 10× 1022×7=14314÷100=0.14
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

Work out 0.3 × 0.6.

0.30.6
0.3×0.61× 10× 1023×6=18318÷100=0.18

Work out 0.2 × 0.7.

0.20.7
0.2×0.71× 10× 1022×7=14314÷100=0.14
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

Work out 0.3 × 0.7.

0.30.7
0.3×0.71× 10× 1023×7=21321÷100=0.21

Work out 0.2 × 0.7.

0.20.7
0.2×0.71× 10× 1022×7=14314÷100=0.14
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

Work out 0.2 × 0.8.

0.20.8
0.2×0.81× 10× 1022×8=16316÷100=0.16

Work out 0.2 × 0.7.

0.20.7
0.2×0.71× 10× 1022×7=14314÷100=0.14
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

A sign is 0.9 m long and 0.3 m wide. Work out its area in m².

0.90.3
0.9×0.31× 10× 1029×3=27327÷100=0.27

1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

1Work out 0.3 × 0.8.

0.30.8
0.3×0.8× 10× 103×8=2424÷100=0.24

2Work out 0.5 × 0.9.

0.50.9
0.5×0.9× 10× 105×9=4545÷100=0.45

3Work out 0.8 × 0.4.

0.80.4
0.8×0.4× 10× 108×4=3232÷100=0.32

4Work out 0.4 × 0.7.

0.40.7
0.4×0.7× 10× 104×7=2828÷100=0.28

Each small square is 0.01. Write the pink part as a decimal.

0.06
0.6
0.09

Work out 0.3 × 0.2.

0.30.2
0.3×0.21× 10× 1023×2=636÷100=0.06
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

Work out 0.1 × 0.7.

0.10.7
0.1×0.71× 10× 1021×7=737÷100=0.07

Work out 0.3 × 0.2.

0.30.2
0.3×0.21× 10× 1023×2=636÷100=0.06
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

Work out 0.4 × 0.2.

0.40.2
0.4×0.21× 10× 1024×2=838÷100=0.08

Work out 0.3 × 0.2.

0.30.2
0.3×0.21× 10× 1023×2=636÷100=0.06
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

Work out 0.1 × 0.5.

0.10.5
0.1×0.51× 10× 1021×5=535÷100=0.05

Work out 0.3 × 0.2.

0.30.2
0.3×0.21× 10× 1023×2=636÷100=0.06
1decimal×decimal× 102whole×whole=squares3squares÷ 100 =answer

A shelf is 0.9 m long and 0.1 m wide. Work out its area in m².

0.90.1
0.9×0.11× 10× 1029×1=939÷100=0.09

Multiplying decimals worksheet, page 1

Multiplying decimals worksheet, page 2

Answer sheet

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

  1. 0.4 × 0.3 = 0.12

    Right

  2. 0.4 × 0.2 = 0.8

    Wrong: 8 ÷ 100 = 0.08

  3. 0.5 × 0.5 = 0.25

    Right

  4. 0.6 × 0.2 = 1.2

    Wrong: 12 ÷ 100 = 0.12

  5. 0.1 × 0.3 = 0.03

    Right

  1. Work out 1.2 × 0.3. Hint: 12 × 3 = 36.

    0.36

  2. Work out 0.6 × 0.04. Hint: 0.04 is 4 hundredths.

    0.024

  3. A pen costs £0.40. How much do 3 pens cost?

    £1.20

  1. Work out 0.5 × 0.5.

    0.25
    0.50.50.5×0.51Multiplyboth by 10.× 10× 102Multiply thewhole numbers.5×5=3Divide by 100.÷100=

  2. Work out 0.1 × 0.6.

    0.06
    0.1×0.61Multiplyboth by 10.× 10× 102Multiply thewhole numbers.×=3Divide by 100.÷100=

  3. Work out 0.7 × 0.9.

    0.63
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