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Writing Number Patterns and Rules Related to Them

Write the nex...

Question

Write the next three steps of pattern

9 x 9 + 7=88
98 x 9 + 6=888
987 x 9 + 5 =8888

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Solution

$9876 \times 9 + 4 = 88888 98765 \times 9 + 3 = 888888 987654 \times 9 + 2 = 8888888$

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Q. Write the next three steps of pattern

Q. write the next three steps of pattern

\begin{matrix} 111 \div 3 = 37 222 \div 6 = 37 333 \div 9 = 37 \end{matrix}

Q. Write the following monomials according to their degrees the ascending order
(a)

\frac{1}{5} x^{11}, - 5 x^{7}, 4, 5 x^{10}, 2 x^{3}, x, 9 x^{5}, 3 x^{2}

6 x^{15}, 4 x^{2}, 9, x, 5 x^{6}, 7 x^{9}, 3 x^{3}

Q. Observe the pattern in the following and fill in the blanks:

9 × 9 + 7 = 88
98 × 9 + 6 = 888
987 × 9 + 5 = 8888
9876 × 9 + 4 = ...............
98765 × 9 + 3 = ...............
987654 × 9 + 2 = ...............
9876543 × 9 + 1 = ...............

Q. Write all the terms of the algebraic expressions:
(i) 4x⁵ − 6y⁴ + 7x²y − 9
(ii) 9x³ − 5z⁴ + 7z³ y − xyz

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Writing Number Patterns and Rules Related to Them

Standard VII Mathematics

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