Page 27 - 新思维数学学生用书8 样章

1 Integers

Check your progress

1 a Draw a factor tree for 350.
b Write 350 as a product of prime factors.
c Write 112 as a product of prime factors.

d Find the HCF of 350 and 112.
e Find the LCM of 350 and 112.
2 Copy and complete this multiplication table.

× −6 −5 7
−10
3 −18
−7

3 Are these calculations correct? If not, correct them.
a ( ) 2 = −25 b −× −11 = −99
9
−5
− )
c 45 ÷− =− 6 d ( 10 3 = −1000
9
4 Work out
a 40 ÷− 5 b −36 ÷ −6
27)
c 100 ÷( – d ( 12 −− ) 3
18 ÷−
5 Solve these equations.
a x = 36 b x + 16 = 0
2
2
c x = 8 d x + 27 = 0
3
3
6 Work out
a (−5 ) − (−4 ) 2 b 3 64 +− 64
2
3
7 Here is an expression: x + x 2
3
Find the value of the expression when
a x = 3 b x = −3
8 Write as a single power of 8
a 8 × 8 3 b 8 ÷ 8 2
6
2
c 1 d (8 )
3 3
9 a Write 4 as a power of 2.
6
b Write 9 as a power of 3.
4

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