Question

4 fill in the missing numbers on the grid below. use the patterns you know to he
5 describe at least three different patterns you see on the grid.

Explanation:

For Question 4 (Filling Missing Numbers):

Step1: Identify Horizontal Pattern

In each row, numbers increase by 10. For example, in the first row: \( 10, 20, \boldsymbol{30}, 40, 50, 60, \boldsymbol{70}, 80, 90, 100 \) (since \( 20 + 10 = 30 \), \( 60 + 10 = 70 \)).

Step2: Second Row Pattern

Second row: \( \boldsymbol{110}, 120, 130, 140, \boldsymbol{150}, 160, 170, 180, 190, \boldsymbol{200} \) ( \( 120 - 10 = 110 \), \( 140 + 10 = 150 \), \( 190 + 10 = 200 \) ).

Step3: Third Row Pattern

Third row: \( 210, \boldsymbol{220}, 230, 240, 250, \boldsymbol{260}, 270, 280, \boldsymbol{290}, 300 \) ( \( 210 + 10 = 220 \), \( 250 + 10 = 260 \), \( 280 + 10 = 290 \) ).

Step4: Fourth Row Pattern

Fourth row: \( 310, 320, 330, \boldsymbol{340}, 350, 360, \boldsymbol{370}, 380, 390, 400 \) ( \( 330 + 10 = 340 \), \( 360 + 10 = 370 \) ).

Step5: Fifth Row Pattern

Fifth row: \( \boldsymbol{410}, 420, 430, 440, \boldsymbol{450}, 460, 470, 480, 490, \boldsymbol{500} \) ( \( 420 - 10 = 410 \), \( 440 + 10 = 450 \), \( 490 + 10 = 500 \) ).

Step6: Sixth Row Pattern

Sixth row: \( 510, 520, \boldsymbol{530}, 540, 550, \boldsymbol{560}, 570, \boldsymbol{580}, 590, 600 \) ( \( 520 + 10 = 530 \), \( 550 + 10 = 560 \), \( 570 + 10 = 580 \) ).

Step7: Seventh Row Pattern

Seventh row: \( 610, \boldsymbol{620}, 630, 640, 650, \boldsymbol{660}, 670, 680, 690, 700 \) ( \( 610 + 10 = 620 \), \( 650 + 10 = 660 \) ).

Step8: Eighth Row Pattern

Eighth row: \( 710, 720, 730, \boldsymbol{740}, 750, 760, 770, 780, \boldsymbol{790}, 800 \) ( \( 730 + 10 = 740 \), \( 780 + 10 = 790 \) ).

Step9: Ninth Row Pattern

Ninth row: \( 810, \boldsymbol{820}, 830, 840, \boldsymbol{850}, 860, \boldsymbol{870}, 880, 890, 900 \) ( \( 810 + 10 = 820 \), \( 840 + 10 = 850 \), \( 860 + 10 = 870 \) ).

Step10: Tenth Row Pattern

Tenth row: \( 910, 920, \boldsymbol{930}, 940, 950, 960, 970, 980, \boldsymbol{990}, 1000 \) ( \( 920 + 10 = 930 \), \( 980 + 10 = 990 \) ).

1. Horizontal (Row) Pattern: Each number in a row increases by 10 (e.g., \( 10, 20, 30, \dots \); \( 110, 120, 130, \dots \) ).
2. Vertical (Column) Pattern: Each number in a column increases by 100 (e.g., first column: \( 10, 110, 210, 310, \dots \) ( \( 10 + 100 = 110 \), \( 110 + 100 = 210 \) )).
3. Ending Digit Pattern: In each row, the units digit is 0, and the tens digit cycles 0 - 9 (e.g., row 1: tens digits \( 1, 2, 3, \dots, 9, 0 \) for \( 10, 20, \dots, 100 \) ).

Answer:

(Filled Grid Highlights):

• Row 1: \( 30, 70 \)
• Row 2: \( 110, 150, 200 \)
• Row 3: \( 220, 260, 290 \)
• Row 4: \( 340, 370 \)
• Row 5: \( 410, 450, 500 \)
• Row 6: \( 530, 560, 580 \)
• Row 7: \( 620, 660 \)
• Row 8: \( 740, 790 \)
• Row 9: \( 820, 850, 870 \)
• Row 10: \( 930, 990 \)

For Question 5 (Describing Patterns):