Page 27 - 新思维数学学生用书7 样章

1 Integers

4 Copy and complete the following.

a 1 = b 2 = c 3 =
3
3
3
d 4 = e 5 =
3
3
5 An equivalent statement to 6 = 6 × 6 × 6 = 216 is 216 =. Write equivalent statements to your
6
3
3
answers to Question 4.
6 Work out the integer that is closest to
a 15 b 66 c 150

7 a Show that 90 is between 9 and 10.

b Find two consecutive integers to complete this sentence: 180 is between … and …

c Find two consecutive integers to complete this sentence: 90 is between … and …
3
8 a Use a calculator to find 17 .
2
b Complete this statement: =17

9 Complete the following statements.

a =18 b =20 c =23 d =26

10 Complete the following statements.

a 3 = 7 b 3 = 9 c 3 = 10 d 3 = 12

11 a Show that 36 has nine factors.
b Find the factors of these square numbers.
i 9 ii 16 iii 25
c Explain why every square number has an odd number of factors.

d Find a number that is not square that has an odd number of factors.
e Does every cube number have an odd number of factors? Give a reason for your answer.
f Investigate how many factors different square numbers have.

How did you do part f? Would it be helpful to work with a partner?

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