1. Write down a 2-digit number. The sum of the digits must be less than 10.
2. Multiply the number by 11.What is the product ?
3. Repeat steps 1 and 2 with different 2-digit numbers. Record the products.
4. Do you see a pattern? What is the pattern ?
5. Use the pattern to state the product of 81 and 11.
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Answers
Answer:
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Answer:
1. All numbers, including but not limited to two digit numbers, whose digits sum to 9 are ... we are multiplying by 9, the tens digit goes up by 1 and the units digit goes down by 1. ... So the number is 54 and when reversed it becomes 45 which is 9 less than the original number. ... So the no can be written as 'xy' or (10x + y).
2. To multiply any two-digit number by 11, simply add the digits of the number together and then put this sum between the original two digits. For example, to quickly find the answer to 11 x 53, start by adding the two digits of the number 53 together to get 5+3=8
3. At first, school arithmetic is mostly concerned with the whole numbers: 0, 1, 2, 3, and so on.1 The child’s focus is on counting and on calculating— adding and subtracting, multiplying and dividing. Later, other numbers are introduced: negative numbers and rational numbers (fractions and mixed numbers, including finite decimals). Children expend considerable effort learning to calculate with these less intuitive kinds of numbers. Another theme in school mathematics is measurement, which forms a bridge between number and geometry.
4. How many times repetition must occur for something to be called a pattern? A. For something to be called as a pattern, its elements must repeat in a predictable manner at least three times. If the repetition is less than three times, then a pattern does not occur.
5. E.g. 81 = 3 × 3 × 3 × 3. = 32 × 32 = (3 ... 32 = 9 & 42 = 16 → 10, 11, 12, 13, 14, 15 ... The above Pattern can be used to find the square root of the given number. 1.
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