Numeric Patterns and Images
Explore a series of numerical patterns and corresponding images showcasing sequences and computations. Dive into the world of numbers and their visual representations through this intriguing collection. Witness the beauty and complexity of mathematical relationships.
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? ? = ? 8 5 10 = 8 10 7 = ? ? = ?? 8 6 100 = 100 9 8 = ? ? = ?? ? ? = ?? 9 8 10 = 6 100 8 = ? ? = ?? 8 12 1000 = 8 12 10 = ? ? = ?? ? ? = ?? 3 8 1000 = 1000 8 2 = ? ? = ?? 8 7 100 = 10 3 8 100 = ? ? = ?? ?? ? = ?? 10 10 10 8 11 = 8 4 100 = ?? ? = ?? ?? ? = ??
? ? = ? 8 5 10 = 400 8 10 7 = 560 ? ? = ?? 8 6 100 = 4800 100 9 8 = 7200 ? ? = ?? ? ? = ?? 9 8 10 = 720 6 100 8 = 4800 ? ? = ?? 8 12 1000 = 96 000 8 12 10 = 840 ? ? = ?? ? ? = ?? 3 8 1000 = 24 000 1000 8 2 = 16 000 ? ? = ?? 8 7 100 = 5600 10 3 8 100 = 24 000 ? ? = ?? ?? ? = ?? 10 10 10 8 11 = 88 000 8 4 100 = 3200 ?? ? = ?? ?? ? = ??
7 498 = 7 490 = 400 90 8 400 90 0 7 7 529 897 897 529 897 897 3 79 = 3 709 = 3 790 = 70 9 700 9 700 90 3 3 3 529 897 529 897 529 897
7 48 = 7 86 = 7 81 = 84 7 = 40 8 80 6 80 1 80 4 7 7 7 7 529 897 529 897 529 897 529 897 9 18 = 6 87 = 6 78 = 67 8 = 10 8 80 7 70 8 60 7 9 6 6 8 529 897 529 897 529 897 529 897 6 8007 = 6 870 = 60 870 = 6 8070 = 8000 7 800 70 8000 70 800 70 6 6 6 60 529 897 529 897 529 897 529 897
7 48 = 7 86 = 7 81 = 84 7 = 40 8 80 6 80 1 80 4 7 7 7 7 529 897 529 897 529 897 529 897 9 18 = 6 87 = 6 78 = 67 8 = 10 8 80 7 70 8 60 7 9 6 6 8 529 897 529 897 529 897 529 897 6 8007 = 6 870 = 60 870 = 6 8070 = 8000 7 800 70 8000 70 800 70 6 6 6 60 529 897 529 897 529 897 529 897
70 6040 = 8002 90 = 76 400 = 7 6400 = 70 6 6000 40 6000 400 8000 2 90 400 70 7 529 897 529 897 529 897 529 897 8000 92 = 890 20 = 550 50 = 505 550 = 500 50 90 2 800 90 500 50 529 529 897 897 500 5 8000 20 50 529 897 529 897 529 897 6004 64 = 505 500 = 640 604 = 6000 60 4 = 6000 4 600 4 5 500 529 529 897 897 600 529 529 897 897 60 4 6000 500 529 897 40 4 60
70 6040 = 8002 90 = 76 400 = 7 6400 = 70 6 6000 40 6000 400 8000 2 90 400 70 7 529 897 529 897 529 897 529 897 8000 92 = 890 20 = 550 50 = 505 550 = 500 50 90 2 800 90 500 50 529 529 897 897 500 5 8000 20 50 529 897 529 897 529 897 6004 64 = 505 500 = 640 604 = 6000 60 4 = 60 60 6000 4 600 4 5 500 6000 6000 529 529 897 897 600 529 529 897 897 60 4 60 60 500 529 897 40 6000 6000
70 6040 = 8002 90 = 76 400 = 7 6400 = 70 6 6000 40 6000 400 8000 2 90 400 70 7 529 897 529 897 529 897 529 897 8000 92 = 890 20 = 550 50 = 505 550 = 500 50 90 2 800 90 500 50 529 529 897 897 500 5 8000 20 50 529 897 529 897 529 897 6004 64 = 505 500 = 640 604 = 6000 60 4 = 60 6000 4 60 600 4 5 500 60 6000 60 529 529 897 897 6000 600 529 529 897 897 60 4 6000 6000 500 529 897 6000 40 4 60
Preserving the equality of an addition expression 11 + 9 = 20 11 +5 5 16 4 = 20 +9 16 +4 20
Preserving the equality of a subtraction expression 11 4 = 7 16 +5 +5 16 9 = 7 9 11 4 7
89.5 + 58 89.5 58 10 10 +10 10 79.5 48 99.5 + 48 605 + 19.6 605 19.6 Subtraction isn t commutative! +585 585 +0.4 0.4 20 + 604.6 604.6 + 20 20 604.6
4000 2874 1 1 3999 2873 How does this relate to our compensating from mental methods?
Adjust each subtraction and use columns to work out the answer Seventy three thousand and nineteen subtract six hundred and eight 9) 1) 1000 376 2) 7000 329 3) 500 000 64 001 8) 400.6 78.9 Fourteen thousand subtract eighty seven 4) 9) 1.0001 0.663 5) 4 000 002 762 912 10) 1.5 0.8043 6) Fourteen thousand and seven subtracted from eighty seven million
Adjust each subtraction and use columns to work out the answer Seventy three thousand and nineteen subtract six hundred and eight 9) 1) 1000 376 624 72941 2) 7000 329 6671 3) 500 000 64 001 45999 321.7 8) 400.6 78.9 Fourteen thousand subtract eighty seven 4) 13913 9) 1.0001 0.663 0.3371 5) 4 000 002 762 912 3237090 10) 0.6957 1.5 0.8043 6) Fourteen thousand and seven subtracted from eighty seven million 86985993
Each pair of subtractions has an equal value. Find the missing value in each pair. 4 7 5 17 13 300 296 63 32 60 35 1) 6) 11) 100 1000= 100 0.017 92 100 7 10= 1.38 0.53 15.3 8.6 14.7 8 63 32 51 20 2) 7) 12) 4 8 63 35 100 72 50.06 15.3 49.76 15 3) 8) 13) 3.524 1000= 3.6 100 7 10 3.06 1.6 1.53 0.07 307 17 300 10 14) 19.52 5.22 = 15 4) 9) 17.76 91.2 377 17 300 50 5) 10) 3.06 2.618 0.529 0.087 15) = 15 6.36 10
Each pair of subtractions has an equal value. Find the missing value in each pair. 4 7 5 17 13 300 296 63 32 60 35 1) 6) 11) 100 1000= 100 0.017 92 100 7 10= 1.38 0.53 15.3 8.6 14.7 8 63 32 51 20 2) 7) 12) 4 8 63 35 100 72 50.06 15.3 49.76 15 3) 8) 13) 3.524 1000= 3.6 100 7 10 3.06 1.6 1.53 0.07 307 17 300 10 14) 19.52 5.22 = 15 4) 9) 17.76 91.2 377 17 300 50 5) 10) 3.06 2.618 0.529 0.087 15) = 15 6.36 10
1) 10 100 = 12) 100 100.6 = 2) 100 10 = 13) 106 100 = 3) 10.6 100 = 14) 10.6 10 = 1.06 100 = 4) 10 100.6 = 15) 10.6 1000 = 5) 1006 100 = 16) 6) 100.6 100 = 17) 1 000 000 100.6 = 7) 10.06 100 = 18) 10.6 10 000 = 1.06 1000 = 8) 1.006 100 = 19) 1.006 10 000 = 9) 1.006 10 = 20) 10) 21) 100 100.6 = 100 000.6 10 = 11) 22) 10 100.06 = 100 000 10.6 =
1) 10 100 = 1000 12) 100 100.6 = 100 600 2) 100 10 = 1000 13) 106 100 = 106 00 1060 3) 10.6 100 = 1060 14) 10.6 10 = 1.06 100 = 10 600 4) 10 100.6 = 1006 15) 10.6 1000 = 10 600 5) 1006 100 = 100 600 16) 6) 100.6 100 = 10 060 17) 1 000 000 100.6 = 100 600 000 7) 10.06 100 = 1006 18) 10.6 10 000 = 106 000 1060 1.06 1000 = 8) 1.006 100 = 100.6 19) 1.006 10 000 = 100 600 9) 1.006 10 = 10.06 20) 1 000 006 10) 21) 100 100.6 = 100 600 100 000.6 10 = 11) 22) 10 100.06 = 1000.6 100 000 10.6 = 1 060 000
1 000 006 21) 100 000.6 10 = 22) 100 000 10.6 = 1 060 000 100 000.6 10 1 000 006 +0.6 0.6 100 000 10.6 1 060 000 ? ??? ??? ? ??? ???
80 30 2 2 40 60
80 30 80 30 10 2 10 2 800 3 160 15 80 30 80 30 50 50 100 100 0.8 3000 4000 0.6
Place each box in the correct gap that gives us eight different multiples of sixteen. 10 15 + 6 15 = 16 15 + = 16 14 14 16 15 7 16 6 15 = 16 + 7 15 7 7 16 11 16 = 16 12 17 14 + 7 7 16 5 16 16 20 7 15 7 16 + = 16 16 11 16 5 16 16 14 7 + = 16 11 10 16 16 25 15 12 16 15 10 15 5 16 + = 16 17 7 16 10 16 5 16 11 10 16 + = 16 25 16 15 16 20 16 15 10 16
10 15 + 6 15 = 16 15 14 + 14 = 16 16 15 = 16 + 7 15 7 7 + = 16 12 7 16 5 16 + = 16 16 5 16 11 16 + = 16 11 10 16 16 + = 16 17 7 16 10 16 + = 16 25 16 15 16 20
Each pair of multiplications has an equal value. Find the missing value in each pair. 4 10 9 8 10 45 896 5 448 10 4000 60 400 600 1) 6) 11) 1000= 10 000 78 100 3 10= 0.0078 30 896 10 1792 5 72 40 720 4 2) 7) 12) 6.309 0.04 = 1.2 2.103 7 45 70 450 50.06 15.3 150.18 5.1 3) 8) 13) 10 3 10 162= 16 8 6 10 8.88 180 44.4 36 9.07 0.63 90.7 0.063 14) 4) 9) 408 480 48 4080 Three million multiplied by seventy four thousand Three multiplied by seventy four billion 5) 10)
Each pair of multiplications has an equal value. Find the missing value in each pair. 4 10 9 8 10 45 896 5 448 10 4000 60 400 600 1) 6) 11) 1000= 10 000 78 100 3 10= 0.0078 30 896 10 1792 5 72 40 720 4 2) 7) 12) 6.309 0.04 = 1.2 2.103 7 45 70 450 50.06 15.3 150.18 5.1 3) 8) 13) 10 3 10 162= 16 8 6 10 8.88 180 44.4 36 9.07 0.63 90.7 0.063 14) 4) 9) 408 480 48 4080 Three million multiplied by seventy four thousand Three multiplied by seventy four billion 5) 10)
80 30 80 30 8 8 4 4 10 240 20 120 6 3 6 3 60 40 60 40 80 30 80 30 80 200 80 200 1 2400 0.4 6000 320 60 60 320 60 40 128 18.75 0.965 0.955 123.52 3750 80 30 193 193 193 0.64 3750 2 2 4 4 375 60 40 375 60 40 40 60
+ 0.4 700 14 30 14 30 0.4 700 100 2 100 2 40 7 7 60 7 100 = 700
3.7 920 630 9.2 + 3.7 920 100 100 + 370 9.2 630 9.2 370 9.2 1000 9.2 = 9200 630 9.2 630 9.2 + 3.7 920 100 100 + 3.7 920 6.3 920 6.3 920 10 920 = 9200 630 9.2 630 9.2 + 3.7 920 10 10 + 3.7 920 63 92 37 92 63 92 10 10 100 92 = 9200 37 90
0.78 2200 + 45 7.3 + 7.3 55 78 28 + 45 7.3 + 55 7.3 78 22 78 28 78 50 = 39 100 = 3900 100 7.3 = 730 6.491 20 + 68 56 + 0.503 60 34 88 + + 6.491 20 1.509 20 68 56 68 44 68 100 = 6800 8 20 = 160 + + 4.5 21 0.6 67.5 40 5.24 52.4 196 3 13.5 + 4 52.4 + 52.4 196 13.5 7 52.4 200 = 104.8 100 = 10 480 135 10 = 135
1) 78 0.4 + 6.7 0.87 + 9) 7.8 6 33 0.087 70 6.3 + 63 3 2) 56 0.48 + 10) 0.76 112 7 10 + 3) 0.44 1200 12 56 + 11) 0.07 71 2.9 4) 370 4.3 + 570 3.7 56 1000 9500+ 12) 5 5.6 5) 3.97 7.3 + 73 0.603 299 10 000 8 10 701 1000 + 73 0.27 6) 2.7 2.7 + 13) 8 8400 6.5 + 7) 3500 8.4 3 10 198 1000 0.6 14) + 0.604 88 25 + 8) 66 50
1) 78 0.4 + 6.7 0.87 + 9) 7.8 6 33 0.087 70 6.3 + 63 3 2) 56 0.48 + 10) 0.76 112 7 10 + 3) 0.44 1200 12 56 + 11) 0.07 71 2.9 4) 370 4.3 + 570 3.7 56 1000 9500+ 12) 5 5.6 5) 3.97 7.3 + 73 0.603 299 10 000 8 10 701 1000 + 73 0.27 6) 2.7 2.7 + 13) 8 8400 6.5 + 7) 3500 8.4 3 10 198 1000 0.6 14) + 0.604 88 25 + 8) 66 50
1) 78 0.4 + 6.7 0.87 + 78 9) 7.8 6 8.7 33 0.087 70 6.3 + 630 63 3 2) 56 0.48 + 10) 0.76 112 112 7 10 + 3) 0.44 1200 1200 12 56 + 7 11) 0.07 71 2.9 4) 370 4.3 + 3700 570 3.7 56 1000 9500+ 560 12) 5 5.6 5) 3.97 7.3 + 73 0.603 73 299 10 000 8 10 701 1000 0.8 + 73 0.27 6) 2.7 2.7 + 27 13) 8 8400 6.5 + 7) 3500 8.4 84 000 3 10 198 1000 0.6 14) + 0.3 0.604 88 25 + 8) 5500 66 50
