Decimals in money and measures worksheet

Part A: Working out and filling in

1. 1. 76, 3

   Look at the point in $76.3: the part before it is dollars, the digit after it ten-cents.

   The whole part is dollars and the tenths are ten-cents: $76 and 3 ten-cents.

2. 2. 63.3

   10¢ = $0.1. How many dollars are 3 ten-cents? Then add the $63.

   10¢ = $0.1, so 3 ten-cents is $0.3, and the total is $63.3.

3. 3. 4.6

   10¢ = $0.1. How many dollars are 6 ten-cents? Then add the $4.

   10¢ = $0.1, so 6 ten-cents is $0.6, and the total is $4.6.

4. 4. 69, 8

   Look at the point in $69.8: the part before it is dollars, the digit after it ten-cents.

   The whole part is dollars and the tenths are ten-cents: $69 and 8 ten-cents.

5. 5. 3916

   1 L = 1000 mL, so multiply 3.916 by 1000: the point moves three places right.

   1 L = 1000 mL, so 3.916 × 1000 = 3916.

6. 6. 7.081

   1000 mL = 1 L. What do you divide 7081 by, and which way does the point move?

   1000 mL = 1 L: 7081 ÷ 1000 moves the point three places left, giving 7.081.

7. 7. 563

   1 m = 100 cm, so multiply 5.63 by 100: the point moves two places right.

   1 m = 100 cm, so 5.63 × 100 = 563.

8. 8. 7.487

   1000 mL = 1 L. What do you divide 7487 by, and which way does the point move?

   1000 mL = 1 L: 7487 ÷ 1000 moves the point three places left, giving 7.487.

9. 9. 178

   1 m = 100 cm, so multiply 1.78 by 100: the point moves two places right.

   1 m = 100 cm, so 1.78 × 100 = 178.

10. 10. 8, 525

    The part before the point is km; the decimal part times 1000 gives the metres.

    The whole part is 8 km; the decimal part × 1000 is 525 m.

11. 11. 6, 92

    The part before the point is km; the decimal part times 1000 gives the metres.

    The whole part is 6 km; the decimal part × 1000 is 92 m.

Part B: Choose, or true or false

1. 12. B. 3.013 kg

   1 kg = 1000 g, so 13 g is 131000 kg. The thousandths are the third place after the point.

   13 g = 131000 kg, so it is 3.013 kg.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

1. 13. 2470 mL

   First turn 2.82 L into mL: 1 L = 1000 mL.

   2.82 L = 2.82 × 1000 mL; subtract 350 mL to leave 2470 mL.

2. 14. 1.79 m

   100 cm = 1 m. Divide 179 by 100: which way does the point move?

   100 cm = 1 m: 179 ÷ 100 moves the point two places left.

3. 15. 5350 g

   1 kg = 1000 g, so multiply 5.35 by 1000: the point moves three places right.

   1 kg = 1000 g, so 5.35 × 1000 = 5350.

4. 16. 38.7 dollars

   First write both prices as decimals: $20 and 5 ten-cents is $20.5.

   $20 and 5 ten-cents is $20.5 and $18 and 2 ten-cents is $18.2; add them: 20.5 + 18.2 = 38.7.

5. 17. 9250 g

   1 kg = 1000 g, so multiply 9.25 by 1000: the point moves three places right.

   1 kg = 1000 g, so 9.25 × 1000 = 9250.

6. 18. 41.4 dollars

   First write both prices as decimals: $26 and 1 ten-cents is $26.1.

   $26 and 1 ten-cents is $26.1 and $15 and 3 ten-cents is $15.3; add them: 26.1 + 15.3 = 41.4.