Decimals Year 4 (age 8-9) - Hundredths

100 13 12 14 15 87 18 16 10 17 73 77 11 69 67 57 45 19 49 65 47 89 90 91 79 46 50 40 93 94 92 32 34 95 72 42 48 36 35 38 88 53 62 83 82 80 59 60 75 64 66 78 56 70 76 74 86 85 54 52 68 55 58 33 84 37 23 22 24 97 96 25 26 44 98 28 30 99 27 20 29 43 39 63 41 61 71 81 21 51 31 5 6 7 4 8 2 1 3 9 nine hundredths eleven hundredths thirteen hundredths fourteen hundredths eight hundredths twelve hundredths five hundredths one hundredth fifteen hundredths seventy-eight hundredths six hundredths seven hundredths ten hundredths eighteen hundredths seventeen hundredths sixteen hundredths nineteen hundredths twenty hundredths eighty-eight hundredths four hundredths two hundredths three hundredths ninety-seven hundredths ninety-eight hundredths ninety-six hundredths eighty hundredths eighty-six hundredths seventy-two hundredths seventy-one hundredths eighty-four hundredths eighty-five hundredths ninety-nine hundredths seventy-four hundredths eighty-nine hundredths eighty-three hundredths seventy-six hundredths seventy-five hundredths one hundred hundredths ninety-four hundredths ninety-two hundredths eighty-seven hundredths eighty-one hundredths ninety-one hundredths eighty-two hundredths ninety-five hundredths ninety-three hundredths ninety hundredths fifty-two hundredths thirty-five hundredths thirty-six hundredths thirty-eight hundredths thirty-two hundredths thirty-one hundredths thirty-four hundredths forty-one hundredths forty-six hundredths forty-five hundredths forty hundredths thirty-nine hundredths forty-two hundredths seventy-three hundredths thirty-three hundredths twenty-four hundredths twenty-five hundredths twenty-three hundredths twenty-two hundredths twenty-one hundredths twenty-six hundredths seventy-nine hundredths twenty-eight hundredths twenty-seven hundredths thirty hundredths twenty-nine hundredths forty-three hundredths thirty-seven hundredths sixty-five hundredths sixty-six hundredths sixty hundredths fifty-nine hundredths sixty-two hundredths sixty-three hundredths sixty-four hundredths sixty-eight hundredths sixty-seven hundredths forty-four hundredths sixty-nine hundredths sixty-one hundredths seventy hundredths fifty-three hundredths fifty-four hundredths forty-eight hundredths forty-seven hundredths fifty-six hundredths forty-nine hundredths fifty-one hundredths fifty hundredths fifty-five hundredths fifty-seven hundredths fifty-eight hundredths seventy-seven hundredths one whole 100 10 5 2 6 3 1 7 8 9 4 one whole two tenths four tenths three tenths one tenth five tenths six tenths nine tenths ten tenths eight tenths seven tenths 10

x10 6 60 ? = 10 100 x10

x10 9 90 ? = 10 100 x10

÷10 50 5 ? = 100 10 ÷10

÷10 80 8 ? = 100 10 ÷10

We get one tenth when we divide one by ten. We can write one tenth as a decimal: 0.1 1 ÷ 10 = 0.1

We can write one hundredth as a decimal: 0.01 We get one hundredth when we divide one by a hundred. We can write one hundredth as a decimal: 0.01 1 ÷ 100 = 0.01

We also get one hundredth when we divide one tenth by ten. 0.1 ÷ 10 = 0.01

Hundreds Tens Units Tenths Hundredths

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20 0.21 0.2 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.3 0.30 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.4 0.40 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.50 0.51 0.5 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.61 0.60 0.6 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.70 0.7 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 0.80 0.81 0.8 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.91 0.90 0.9 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1 1.00 1.0

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

Which number is larger? Tens Units . Tenths Hundredths 4 . 6 3 4 . 7 1

Which number is larger? Tens Units . Tenths Hundredths . 5 9 . 5 5

Which number is larger? Tens Units . Tenths Hundredths 5 . 9 5 . 7 5

Which number is larger? Tens Units . Tenths Hundredths 6 . 1 5 . 9 9

0.3 0.4 0.5 0.32 0.39 0.42 0.48

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.15 0.45 0.65 0.95

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.18 0.42 0.58 0.96

0.4 A 1 1.1 B 1.8 C 2

0.3 A 0.7 B 1 1.4 C 2

1.6 1.7 1.8 1.63 1.68 1.74 1.77

2.8 2.9 3 2.84 2.89 2.94 2.97

0.5 1 1.5 2 0.05 0.45 0.95 1.35

0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.7 0.71 Complete +10 number sequences

0.06 0.16 0.26 0.36 0.46 0.56 0.66 0.76 0.86 0.96 Complete +10 number sequences

0.97 0.98 0.99 1 1.01 1.02 1.03 1.04 1.05 1.06 Complete +10 number sequences

0.79 0.89 0.99 1.09 1.19 1.29 1.39 1.49 1.59 1.69 Complete +10 number sequences

2.48 2.49 2.5 2.51 2.52 2.53 2.54 2.55 2.56 2.57 Complete +10 number sequences

2.76 2.86 2.96 3.06 3.16 3.26 3.36 3.46 3.56 3.66 Complete +10 number sequences

0.13 0.12 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 Complete +10 number sequences

1.02 1.01 1 0.99 0.98 0.97 0.96 0.95 0.94 0.93 Complete +10 number sequences

1.01 0.91 0.81 0.71 0.61 0.51 0.41 0.31 0.21 0.11 Complete +10 number sequences

3.35 3.25 3.15 3.05 2.95 2.85 2.75 2.65 2.55 2.45 Complete +10 number sequences

4.94 4.93 4.92 4.91 4.9 4.89 4.88 4.87 4.86 4.85 Complete +10 number sequences

. 9 7 1 7 . Units Tenths Hundredths Round to the nearest whole number. 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8

. 2 4 7 7 25 . Tens Units Tenths Hundredths Round to the nearest whole number. . Tens Units Tenths Hundredths . 2 4 7 7 25 24 24.1 24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9 25

8.83 m -> 9 m 9.19 m -> 9 m 26.28 m -> 26 m 14.94 m -> Round these lengths to the nearest metre. 8.83 m -> 9 m 9.19 m -> 9 m 26.28 m -> 26 m 14.94 m -> 15 m

6 . 5 4 + 0 . 9 3 7 . 4 7 1

6 . 5 9 1 . 3 4 + 7 . 9 3 1

6 5 4 . 8 5 + 7 3 . 4 5 7 2 8 . 3 1 1 1

5 1 6 . 5 4 - 0 . 8 1 5 . 7 3

6 . 7 8 - 1 . 3 4 5 . 4 4

5 7 1 6 5 4 . 8 5 1 - 7 3 . 4 6 5 8 1 . 3 9

What we know about dividing by 100 When we divide by a hundred, we move two place values to the right. 700 ÷ 100 = 7 RECAP What we know about dividing by 100 Hundreds Tens Units Tenths Hundredths 7 0 0 Remember that 7.00 = 7 Any number followed by .00 is just that number. e.g. 9.00 is 9, 28.00 is 28, 253.00 is 253, etc.

3 2 1 4 324 ÷ 100 = 3.24 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 324 ÷ 100 = 3.24 Hundreds Tens Units Tenths Hundredths 3 2 1 4

2 0 1 9 209 ÷ 100 = 2.09 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 209 ÷ 100 = 2.09 Hundreds Tens Units Tenths Hundredths 2 0 1 9

4 _ 40 ÷ 100 = 0.4 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 40 ÷ 100 = 0.4 Hundreds Tens Units Tenths Hundredths 4 _ If a place value column is empty, we can write a 0 in it. We can ignore 0s in decimal place value columns if there are no numbers to the right.

7 _ 70 ÷ 100 = 0.7 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 70 ÷ 100 = 0.7 Hundreds Tens Units Tenths Hundredths 7 _

3 _ 6 36 ÷ 100 = 0.36 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 36 ÷ 100 = 0.36 Hundreds Tens Units Tenths Hundredths 3 _ 6

2 1 1 21 ÷ 100 = 0.21 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 21 ÷ 100 = 0.21 Hundreds Tens Units Tenths Hundredths 2 1 1

7 7 ÷ 100 = 0.07 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 7 ÷ 100 = 0.07 Hundreds Tens Units Tenths Hundredths 7

7 ÷ 100 = 0.07

4 4 ÷ 100 = 0.04 Hundreds Tens Units Tenths Hundredths When we divide by a hundred, we move two place values to the right. 4 ÷ 100 = 0.04 Hundreds Tens Units Tenths Hundredths 4

4 ÷ 100 = 0.04

What we know about multiplying by 10 When we multiply by ten, we move one place value to the left. 3 x 10 = 30 RECAP What we know about multiplying by 10 Hundreds Tens Units Tenths 3

What we know about multiplying by 10 When we multiply by ten, we move one place value to the left. 68 x 10 = 680 RECAP What we know about multiplying by 10 Hundreds Tens Units Tenths 6 8

2 0.2 x 10 = 2 Hundreds Tens Units Tenths When we multiply by ten, we move one place value to the left. 0.2 x 10 = 2 Hundreds Tens Units Tenths 2

0.2 x 10 = 2

8 0.8 x 10 = 8 Hundreds Tens Units Tenths When we multiply by ten, we move one place value to the left. 0.8 x 10 = 8 Hundreds Tens Units Tenths 8

0.8 x 10 = 8

1 6 1.6 x 10 = 16 Hundreds Tens Units Tenths When we multiply by ten, we move one place value to the left. 1.6 x 10 = 16 Hundreds Tens Units Tenths 1 6

6 1 60.1 x 10 = 601 Hundreds Tens Units Tenths When we multiply by ten, we move one place value to the left. 60.1 x 10 = 601 Hundreds Tens Units Tenths 6 1

5 0.05 x 10 = 0.5 Hundreds Tens Units Tenths Hundredths When we multiply by 10, we move one place value to the left. 0.05 x 10 = 0.5 Hundreds Tens Units Tenths Hundredths 5

0.05 x 10 = 0.5

9 0.09 x 10 = 0.9 Hundreds Tens Units Tenths Hundredths When we multiply by 10, we move one place value to the left. 0.09 x 10 = 0.9 Hundreds Tens Units Tenths Hundredths 9

0.09 x 10 = 0.9

3 4 0.34 x 10 = 3.4 Hundreds Tens Units Tenths Hundredths When we multiply by 10, we move one place value to the left. 0.34 x 10 = 3.4 Hundreds Tens Units Tenths Hundredths 3 4

5 6 5.06 x 10 = 50.6 Hundreds Tens Units Tenths Hundredths When we multiply by 10, we move one place value to the left. 5.06 x 10 = 50.6 Hundreds Tens Units Tenths Hundredths 5 6

What we know about multiplying by 100 When we multiply by 100, we move two place values to the left. 9 x 100 = 900 RECAP What we know about multiplying by 100 Hundreds Tens Units Tenths 9

6 0.6 x 100 = 60 Hundreds Tens Units Tenths When we multiply by 100, we move two place values to the left. 0.6 x 100 = 60 Hundreds Tens Units Tenths 6

7 0.7 x 100 = 70 Hundreds Tens Units Tenths When we multiply by a hundred, we move two place values to the left. 0.7 x 100 = 70 Hundreds Tens Units Tenths 7

4 5 4.5 x 100 = 450 Hundreds Tens Units Tenths When we multiply by a hundred, we move two place values to the left. 4.5 x 100 = 450 Hundreds Tens Units Tenths 4 5

8 9 8.9 x 100 = 890 Hundreds Tens Units Tenths When we multiply by a hundred, we move two place values to the left. 8.9 x 100 = 890 Hundreds Tens Units Tenths 8 9

4 0.04 x 100 = 4 Hundreds Tens Units Tenths Hundredths When we multiply by 100, we move two place values to the left. 0.04 x 100 = 4 Hundreds Tens Units Tenths Hundredths 4

0.04 x 100 = 4

2 0.02 x 100 = 2 Hundreds Tens Units Tenths Hundredths When we multiply by 100, we move two place values to the left. 0.02 x 100 = 2 Hundreds Tens Units Tenths Hundredths 2

8 1 0.81 x 100 = 81 Hundreds Tens Units Tenths Hundredths When we multiply by 100, we move two place values to the left. 0.81 x 100 = 81 Hundreds Tens Units Tenths Hundredths 8 1