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Decimals Year 5 (age 9-10)
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. 2 . 4 4 2 . 4 Which number is larger? Tens Units Tenths Hundredths
Thousandths 2 . 4 4 2 . 4
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. . 6 6 7 . 6 6 Which number is larger? Tens Units Tenths Hundredths
Thousandths . 6 6 7 . 6 6
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. 1 . 7 3 1 . 9 6 Which number is larger? Tens Units Tenths Hundredths
Thousandths 1 . 7 3 1 . 9 6
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. . 8 8 . 7 8 Which number is larger? Tens Units Tenths Hundredths
Thousandths . 8 8 . 7 8
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. 1 . 1 1 . 2 9 Which number is larger? Tens Units Tenths Hundredths
Thousandths 1 . 1 1 . 2 9
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. 5 . 5 4 . 4 Which number is larger? Tens Units Tenths Hundredths
Thousandths 5 . 5 4 . 4
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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
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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
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. . 1 6 1 6 1.62 Round to the nearest hundredth. Tens Units Tenths
Hundredths Thousandths . 1 6 1 6 1.62
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. . 7 5 7 3 7.57 Round to the nearest hundredth. Tens Units Tenths
Hundredths Thousandths . 7 5 7 3 7.57
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. . 2 3 4 2 2 23.42 Round to the nearest hundredth. Tens Units Tenths
Hundredths Thousandths . 2 3 4 2 2 23.42
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. . 4 7 9 40.08 Round to the nearest hundredth. Tens Units Tenths
Hundredths Thousandths . 4 7 9 40.08
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. 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 to the nearest: Ten: 20 Tenth: 24.8 Whole number: 25 Hundredth: 24.77
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. 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 to the nearest: Ten: 20 Tenth: 15.4 Whole number: 15 Hundredth: 15.38
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= 72.83 + 7 2 . 8 3 1 1 1
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= 7.605 5 . 6 + . 7 6 5
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= 7.473 + . 7 4 7 3 1
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= 7.938 + . 7 9 3 8 1
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= 31.545 + 3 1 . 5 4 5 1
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= 55.555 5 0 . + 5 5 . 5 5 5
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= 2.843 5 3 . 4 1 - . 2 8 4 3
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6.78 – = 5.439 7 1 - . 5 4 3 9
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2.193 – 0.52 = 1.673 1 1 - 0 . 5 2 1 . 6 7 3
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= 0.61 1 2 3 1 4 . 3 - . 6 1
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= 1.42 . 0 0 1 3 - 1 . 4 2
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= 1.303 1 4 - 1 . 3 3
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3.331 ____ = 5.88 7 1 - . 3 3 3 1
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5.5 - ____ = 3.69 1.81 1 4 4 1 5 . 5 - 1 . 8 1
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7.618 ____ = 5.568 + 7 . 6 1 8 1
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= = = = 5 . 2
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– 3 = = – = =
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0.003 x 10 = 0.03 3 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 3
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0.068 x 10 = 0.68 6 8 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 6 8
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0.941 x 10 = 9.41 9 4 1 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 9 4 1
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0.908 x 10 = 9.08 9 8 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 9 8
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0.009 x 100 = 0.9 9 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 9
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0.096 x 100 = 9.6 9 6 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 9 6
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0.433 x 100 = 43.3 4 3 3 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 4 3 3
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0.708 x 100 = 70.8 7 8 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 7 8
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0.005 x 1000 = 5 5 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 5
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0.041 x 1000 = 41 4 1 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 4 1
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0.335 x 1000 = 3 3 5 335 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 3 3 5
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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
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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
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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
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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
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When we multiply by 1000, we move 3 place values to the left.
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
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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
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When we multiply by 1000, we move 3 place values to the left.
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
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When we multiply by 1000, we move 3 place values to the left.
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
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0.4 ÷ 10 = 0.04 4 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 4
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0.06 ÷ 10 = 0.006 6 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 6
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0.43 ÷ 10 = 0.043 4 3 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 4 3
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9.5 ÷ 10 = 0.95 9 5 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 9 5
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10.6 ÷ 10 = 1.06 1 6 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 1 6
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7.43 ÷ 10 = 0.743 7 4 3 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 7 4 3
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26.65 ÷ 10 = 2.665 2 6 6 5 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 2 6 6 5
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99.02 ÷ 10 = 9.902 9 9 2 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 9 9 2
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315.1 ÷ 10 = 31.51 3 1 5 1 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 3 1 5 1
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200.13 ÷ 10 = 20.013 2 1 3 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 2 1 3
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0.4 ÷ 100 = 0.004 4 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 4
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3.9 ÷ 100 = 0.039 3 9 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 3 9
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36.8 ÷ 100 = 0.368 3 6 8 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 3 6 8
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40.9 ÷ 100 = 0.409 4 9 Thousands Hundreds Tens Units Tenths Hundredths
Thousandths 4 9
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595.9 ÷ 100 = 5.959 5 9 5 9 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 5 9 5 9
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900.1 ÷ 100 = 9.001 9 1 Thousands Hundreds Tens Units Tenths
Hundredths Thousandths 9 1
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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 .
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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 .
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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 .
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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 .
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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 .
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When we divide by 1000, we move 3 place values to the right.
÷ 1000 = 701.8 . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 7 1 8 .
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When we divide by 1000, we move 3 place values to the right.
÷ 1000 = . 1 1 1 100,000s 10,000s 1,000s 100s 10s 1s s s s 10 100 1000 9 8 4 7 2 1 .
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0.4 x 4 = 1.6
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0.2 x 7 = 1.4 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
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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
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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
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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
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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
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0.03 x 7 = 0.21
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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
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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
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45 x = 960.75 325.6 x 84 = 1 2 2 4 4 1 2 1 2 2 x . x . 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
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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
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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
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6.26 3.7 2.56 2.342 1.358 1.202 1 1 1 5 2.5 6 3.7 1 + - + 2 .5 6 3 . 7 . 1 2 2 6 . 2 6
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0.3 = 0.8 = 0.9 = 1.1 0.8 0.9 0.6 0.5 1.1
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0.8 = 1.2 1.3 – 0.5 = 0.8 = 1.5 1.5 1.3 0.7 1.2 0.5
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1.4 = 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
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1.2 = 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
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