Decimals Year 5 (age 9-10)

. 2 . 4 4 2 . 4 Which number is larger? Tens Units Tenths Hundredths Thousandths 2 . 4 4 2 . 4

. . 6 6 7 . 6 6 Which number is larger? Tens Units Tenths Hundredths Thousandths . 6 6 7 . 6 6

. 1 . 7 3 1 . 9 6 Which number is larger? Tens Units Tenths Hundredths Thousandths 1 . 7 3 1 . 9 6

. . 8 8 . 7 8 Which number is larger? Tens Units Tenths Hundredths Thousandths . 8 8 . 7 8

. 1 . 1 1 . 2 9 Which number is larger? Tens Units Tenths Hundredths Thousandths 1 . 1 1 . 2 9

. 5 . 5 4 . 4 Which number is larger? Tens Units Tenths Hundredths Thousandths 5 . 5 4 . 4

Put these numbers into ascending order. 0.98 0.889 0.8 0.89 0.898 0.8 0.889 0.89 0.898 0.98

Put these numbers into ascending order. 5.5 5.45 4.45 5.405 5.504 4.45 5.405 5.45 5.5 5.504

. . 1 6 1 6 1.62 Round to the nearest hundredth. Tens Units Tenths Hundredths Thousandths . 1 6 1 6 1.62

. . 7 5 7 3 7.57 Round to the nearest hundredth. Tens Units Tenths Hundredths Thousandths . 7 5 7 3 7.57

. . 2 3 4 2 2 23.42 Round to the nearest hundredth. Tens Units Tenths Hundredths Thousandths . 2 3 4 2 2 23.42

. . 4 7 9 40.08 Round to the nearest hundredth. Tens Units Tenths Hundredths Thousandths . 4 7 9 40.08

. 2 4 . 7 7 2 20 24.8 25 24.77 Round 24.772 to the nearest: Ten: Tens Units Tenths Hundredths Thousandths 2 4 . 7 7 2 Round 24.772 to the nearest: Ten: 20 Tenth: 24.8 Whole number: 25 Hundredth: 24.77

. 1 5 . 3 7 5 20 15.4 15 15.38 Round 15.375 to the nearest: Ten: Tens Units Tenths Hundredths Thousandths 1 5 . 3 7 5 Round 15.375 to the nearest: Ten: 20 Tenth: 15.4 Whole number: 15 Hundredth: 15.38

65.485 + 7.345 = 72.83 6 5 . 4 8 5 + 7 . 3 4 5 7 2 . 8 3 1 1 1

5.6 + 2.005 = 7.605 5 . 6 + 2 . 0 0 5 . 7 6 5

6.54 + 0.933 = 7.473 6 . 5 4 + 0 . 9 3 3 . 7 4 7 3 1

6.598 + 1.04 = 7.938 6 . 5 9 8 1 . 0 4 + . 7 9 3 8 1

23.1 + 8.445 = 31.545 2 3 . 1 + 8 . 4 4 5 3 1 . 5 4 5 1

50 + 5.555 = 55.555 5 0 . + 5 . 5 5 5 5 5 . 5 5 5

6.243 - 3.4 = 2.843 5 6 . 2 4 3 3 . 4 1 - . 2 8 4 3

6.78 – 1.341 = 5.439 7 1 6 . 7 8 1 . 3 4 1 - . 5 4 3 9

2.193 – 0.52 = 1.673 1 2 . 1 9 3 1 - 0 . 5 2 1 . 6 7 3

4.3 - 3.69 = 0.61 1 2 3 1 4 . 3 - 3 . 6 9 . 6 1

3 - 1.58 = 1.42 2 . 9 . 0 0 1 3 - 1 . 5 8 1 . 4 2

4 - 2.697 = 1.303 3 . 9 9 . 0 0 0 1 4 - 2 . 6 9 7 1 . 3 3

3.331 ____ + 2.549 = 5.88 7 1 5 . 8 8 2 . 5 4 9 - . 3 3 3 1

5.5 - ____ = 3.69 1.81 1 4 4 1 5 . 5 - 3 . 6 9 1 . 8 1

7.618 ____ - 2.05 = 5.568 5 . 5 6 8 2 . 0 5 + 7 . 6 1 8 1

3 + 0 . 2 4 4 = 3 . 2 4 4 5 . 1 8 + 0 . 7 1 1 = 5 . 8 9 1 3 . 7 1 6 + 0 . 3 = 4 . 0 1 6 5 . 1 9 5 + 0 . 0 0 5 = 5 . 2

8 . 0 9 3 – 3 = 5 . 0 9 3 5 . 5 - 0 . 2 5 = 5 . 2 5 5 . 5 5 5 – 5 . 0 5 = 0 . 5 0 5 6 . 1 1 1 - 0 . 0 0 8 = 6 . 1 0 3

0.003 x 10 = 0.03 3 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 3

0.068 x 10 = 0.68 6 8 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 6 8

0.941 x 10 = 9.41 9 4 1 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9 4 1

0.908 x 10 = 9.08 9 8 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9 8

0.009 x 100 = 0.9 9 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9

0.096 x 100 = 9.6 9 6 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9 6

0.433 x 100 = 43.3 4 3 3 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 4 3 3

0.708 x 100 = 70.8 7 8 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 7 8

0.005 x 1000 = 5 5 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 5

0.041 x 1000 = 41 4 1 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 4 1

0.335 x 1000 = 3 3 5 335 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 3 3 5

When we multiply by 1000, we move 3 place values to the left. 3 x 1000 = 3000 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 3

When we multiply by 1000, we move 3 place values to the left. 42 x 1000 = 42000 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 4 2

When we multiply by 1000, we move 3 place values to the left. 42.5 x 1000 = 42500 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 4 2 . 5

When we multiply by 1000, we move 3 place values to the left. 36.12 x 1000 = 36120 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 3 6 . 1 2

When we multiply by 1000, we move 3 place values to the left. 40.135 x 1000 = 40135 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 4 . 1 3 5

When we multiply by 1000, we move 3 place values to the left. 498.8 x 1000 = 498800 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 4 9 8 . 8

When we multiply by 1000, we move 3 place values to the left. 673.13 x 1000 = 673130 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 6 7 3 . 1 3

When we multiply by 1000, we move 3 place values to the left. 851.205 x 1000 = 851205 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 8 5 1 . 2 5

0.4 ÷ 10 = 0.04 4 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 4

0.06 ÷ 10 = 0.006 6 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 6

0.43 ÷ 10 = 0.043 4 3 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 4 3

9.5 ÷ 10 = 0.95 9 5 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9 5

10.6 ÷ 10 = 1.06 1 6 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 1 6

7.43 ÷ 10 = 0.743 7 4 3 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 7 4 3

26.65 ÷ 10 = 2.665 2 6 6 5 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 2 6 6 5

99.02 ÷ 10 = 9.902 9 9 2 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9 9 2

315.1 ÷ 10 = 31.51 3 1 5 1 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 3 1 5 1

200.13 ÷ 10 = 20.013 2 1 3 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 2 1 3

0.4 ÷ 100 = 0.004 4 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 4

3.9 ÷ 100 = 0.039 3 9 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 3 9

36.8 ÷ 100 = 0.368 3 6 8 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 3 6 8

40.9 ÷ 100 = 0.409 4 9 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 4 9

595.9 ÷ 100 = 5.959 5 9 5 9 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 5 9 5 9

900.1 ÷ 100 = 9.001 9 1 Thousands Hundreds Tens Units Tenths Hundredths Thousandths 9 1

When we divide by 1000, we move 3 place values to the right. 4000 ÷ 1000 = 4 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 4 .

When we divide by 1000, we move 3 place values to the right. 3700 ÷ 1000 = 3.7 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 3 7 .

When we divide by 1000, we move 3 place values to the right. 8950 ÷ 1000 = 8.95 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 8 9 5 .

When we divide by 1000, we move 3 place values to the right. 2456 ÷ 1000 = 2.456 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 2 4 5 6 .

When we divide by 1000, we move 3 place values to the right. 45870 ÷ 1000 = 45.87 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 4 5 8 7 .

When we divide by 1000, we move 3 place values to the right. 701800 ÷ 1000 = 701.8 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 7 1 8 .

When we divide by 1000, we move 3 place values to the right. 984721 ÷ 1000 = 984.721 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 9 8 4 7 2 1 .

0.4 x 4 = 1.6 0.4 + 0.4 + 0.4 + 0.4

0.2 x 7 = 1.4 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 If there is 1 decimal place in the multiplication, there will usually be 1 decimal place in the answer. 9 x 0.5 = 12 x 0.3 = 7 x 0.6 = 5 x 0.8 = 4.5 3.6 4.2 4 4.0

If there is 1 decimal place in the question, there will usually be 1 decimal place in the answer. 5.4 ÷ 6 = 0.9 4 ÷ 8 = 2 ÷ 5 = 3 ÷ 6 = 4.0 ÷ 8 = 2.0 ÷ 5 = 3.0 ÷ 6 = 0.5 2.1 ÷ 3 = 0.7 0.4 4.2 ÷ 7 = 0.6 0.5

If there is 1 decimal place in the answer, there will usually be 1 decimal place in the question. 0.6 5 ___ x 8 = 4.8 ___ x 0.7 = 3.5 0.8 7 ___ x 2 = 1.6 ___ x 0.4 = 2.8 0.6 4 ___ x 9 = 5.4 ___ x 0.5 = 2 .0

73 x 7.4 = 540.2 43 x 8.6 = 369.8 2 2 1 1 7 4 x 7 3 . 8 6 x 4 3 . 1 . . 2 2 2 2 5 8 . . 5 1 8 3 4 4 . . 5 4 2 3 6 9 8

94 x 18.6 = 1748.4 64.1 x 63 = 4038.3 7 5 2 3 2 1 6 4 1 x 6 3 . 1 8 6 x 9 4 . 1 1 1 . . 7 4 4 1 9 2 3 . . 1 6 7 3 8 4 4 6 . . 1 7 4 8 4 4 3 8 3

0.03 x 7 = 0.21 0.03 + 0.03 + 0.03 + 0.03 + 0.03 + 0.03 + 0.03

If there are 2 decimal places in the multiplication, there will usually be 2 decimal places in the answer. 9 x 0.05 = 12 x 0.03 = 7 x 0.06 = 5 x 0.08 = 0.45 0.36 0.42 0.07 x 4 = 0.28 0.4 0.40 0.07 + 0.07 + 0.07 + 0.07

45 x 7.55 = 339.75 42 x 4.99 = 209.58 2 2 3 3 2 2 1 1 7 5 5 x 4 5 . 4 9 9 x 4 2 . 1 1 1 . . 3 7 7 5 9 9 8 . . 3 0 2 1 9 9 6 . . 3 3 9 7 5 2 9 5 8

45 x 21.35 = 960.75 325.6 x 84 = 27350.4 1 2 2 4 4 1 2 1 2 2 2 1 3 5 x 4 5 . 3 2 5 6 x 8 4 . 1 1 . . 1 0 6 7 5 1 3 2 4 . . 8 5 4 2 6 4 8 . . 9 6 2 7 5 7 3 5 4

1.6 0.7 0.9 0.3 0.4 0.5 1 0.3 0.9 0.7 + - .4 .4 + .9 . 7 . 5 1 . 6

3.19 1.1 2.09 0.37 0.73 1.36 1 1 1.1 2.0 9 1.1 1 1 - - .7 3 + .7 3 2 .0 9 . 3 7 1 . 3 6 3 . 1 9

6.26 3.7 2.56 2.342 1.358 1.202 1 1 1 5 2.3 4 2 2.5 6 3.7 1 + - + 1.3 5 8 1.3 5 8 2 .5 6 3 . 7 . 1 2 2 6 . 2 6

0.3 0.3 + 0.5 = 0.8 0.3 + 0.6 = 0.9 0.5 + 0.6 = 1.1 0.8 0.9 0.6 0.5 1.1

0.8 0.7 + 0.5 = 1.2 1.3 – 0.5 = 0.8 0.8 + 0.7 = 1.5 1.5 1.3 0.7 1.2 0.5

1.4 2.3 + 2.4 + 1.9 = 6.6 6.6 ÷ 2 = 3.3 3.3 – 1.9 = 1.4 2.3 2.4 3.3 – 2.3 = 1.0 3.3 – 2.4 = 0.9 1 0.9 1.9

1.2 3.3 + 2.9 + 3.8 = 10 10 ÷ 2 = 5 5 – 3.8 = 1.2 3.3 2.9 5 – 3.3 = 1.7 5 – 2.9 = 2.1 2.1 3.8 1.7