Download Negative numbers - Wey Valley School

The Wey Valley School & Sports College
Mathematics Home Study
14
12
UNIT: Negative
Numbers & Other Types of
Number
10
8
Support work: Question 1 on each page
Core work: Question 2 on each page
Extension work: Question 3 on each page
6
HELP!
When adding and subtracting with negative numbers
use a number line to help you.
2
When multiplying and dividing
with negative numbers:
-2
ADDING & SUBTRACTING WITH NEGATIVE NUMBERS
1. Calculate:
(a) 6 – 7 (b) -5 + 3
(f) 6 – 3
(g) -4 + 6
(e) 11 – 14
(h) -3 + 3
(i) 13 – 20
(j) -3 – 4
(c) -6 + 2
(d) -3 – -1 (e) -6 + -4
(f) -8 – -9 (g) -2 + -2
(h) 0 – -7
(i) -1 – -3
(j) 6 – -9
0
+ + + - - +
(ii) Write down the next three terms in each of these sequences:
(a) 5, 4, 3, 2, 1, …
(b) 6, 4, 2, 0, -2, …
(c) 20, 15, 10, 5, 0, …
(d) 16, 15, 13, 10, 6, …
(e) -10, -8, -6, -4, -2, …
(f) -30, -27, -24, -21, -18, …
-4
3. Copy and complete this addition table:
-6
+
Factors are numbers which go into other numbers
without leaving a remainder e.g. the factors of 4 are
1,2 & 4.
-10
-4
-12
-2
Prime numbers are numbers that have only two
factors e.g. 2, 3, 5, …
-14
2
Page 2
-5
-3
-1
0
1
3
Page 3
MULTIPLYING & DIVIDING WITH NEGATIVE NUMBERS
(f) -12 ÷ -3
(d) -9 + 20
2. (i) Calculate:
(a) 7 – -2 (b) -4 – -5
-8
1. Calculate:
(a) -6 × 3
(c) -5 + 9
4
×
÷
Multiples are the times tables of
a number e.g. the multiples of 3
and 3, 6, 9, 12, 15, …
Page 1
TYPES OF NUMBER
1. (a) Write down the first five multiples of 2
(b) -7 × -4
(c) -6 × 2
(d) 49 ÷ -7 (e) 80 ÷ -4
(g) -8 × -3
(h) 45 ÷ -9
(i) -6 × 10
(j) -2 × -5
(b) What is the 6th multiple of 2?
(c) What is the 10th multiple of 2?
(d) What is the 10th multiple of 5?
2. (i) Calculate: (a) (-2)
2
(b) (-5)
2
(c) (-10)
2
(ii) Copy and complete this multiplication table:
×
-2 -1
0
1
-5
(e) Write down all the factors of 12
(f) Write down all the factors of 15
2. (a) From your answers to parts (e) and (f) in question 1, write
down the highest common factor of 12 and 15.
(b) What is the highest common factor of 18 and 30?
(c) By writing out the first few multiples of 4 and 6 or
-4
otherwise, find the lowest common multiple of 4 and 6.
(d) What is the only even prime number?
-3
(e) Why is 1 not a prime number?
(f) Is 51 prime? Explain your answer.
2
3. Copy these calculations, filling in the missing numbers:
3. (a) Draw a factor tree for the number 20
(b) Hence, write 20 as a product of prime factors
(a) …. × -6 = 12
(b) -40 ÷ …. = 5
(c) 3 × …. = -18
(d) -81 ÷ …. = -9
(e) 7 × …. = 21
(f) -12 ÷ …. = 3
(c) Draw a factor tree for the number 30
(d) Hence, write 30 as a product of prime factors
(g) -2 × …. = 14
(h) 32 ÷ …. = -8
(i) -2 × …. × -3 = -24
(e) What is the highest common factor of 20 and 30?