Page 47 - Start Up Mathematics_6

7. Given below are two columns—Column I and Column II. Match each item of Column I with
the corresponding item of Column II.

Column I Column II

(i) The difference of two consecutive whole numbers (a) 0
(ii) The product of two non-zero consecutive whole numbers (b) 3
(iii) Quotient when zero is divided by another non-zero whole number (c) 1
(iv) 2 added three times to the smallest whole number (d) 6
(v) Smallest odd prime number (e) even
8. Find the product of 8739 × 102 using distributive property.

Quiz

Answer the following if X + Y = Z, where X, Y, Z each stand for a distinct digit from 1 to 9:
(a) What is the greatest digit that X could be?
(b) What is the greatest digit that Z could be?
(c) What is the smallest digit that Z could be?
(d) If X, Y and Z are odd, what digit(s) could Z be? Why?
(e) If Z is 3 more than X, what digit(s) could Y be?
(f) If X is 5 times as great as Y, then what digit(s) could Z be? Why?

Carl Friedrich Gauss (1777–1855)

Carl Gauss was one of the most famous mathematicians of his times. He was brilliant
from his school days. One day his Mathematics teacher asked the students to find the
sum of the first 100 natural numbers. When the whole class was struggling with the
question, Carl stood up within seconds and said 5050. He probably applied the formula
1 + 2 + 3 + ... + 100 = 100 × 101 = 5,050.
2
What a genius he was!

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