s1 (1.4) negative numbers.notebook - weebly€¦ · s1 (1.4) negative numbers.notebook february 22,...

S1 (1.4) Negative Numbers.notebook February 22, 2017

Daily Practice 8.11.2016

Q1. 3 x 4 - 2

Q2. 455 ÷ 5

Q3. Round 9750 to the nearest thousand

Q4. Write 10800 in words

Q5. Complete this shape so that it has 1/2 turn symmetry about o

Extra Questions:

(a) What is the HCF of 20 and 45?

(b) 7749 x 8

Today we will be learning about negative numbers.

‐10 ‐9 ‐8 ‐7 ‐6 ‐5 ‐4 ‐3 ‐2 ‐1 0 1 2 3 4 5 6 7 8 9 10

Negative Numbers

The number line with negatives

Use a ruler to draw this in your jotters, you can make it wither vertical or horizontal.


Q1. 35 + 28

Q2. 9 + 6 x 2


Q4. Write two thousand and eighty three in digits

Q5. 915 - 247

Q6. If you have £34 in the bank and

a bill comes out that is £40, how much is

now in your account?

Today we will be continuing to learn about negative numbers.


Examples:

(a) 3 - 5 (b) 7 - 9 (c) -4 - 3 (d) -5 + 2

(e) -17 + 8

Using Negative Numbers

‐10 ‐9 ‐8 ‐7 ‐6 ‐5 ‐4 ‐3 ‐2 ‐1 0 1 2 3 4 5 6 7 8 9 10

Negative Numbers

‐10 ‐9 ‐8 ‐7 ‐6 ‐5 ‐4 ‐3 ‐2 ‐1 0 1 2 3 4 5 6 7 8 9 10

Work out the following:

Q1) 7 - 8 Q2) 9 - 12 Q3) 3 - 5 Q4) 8 - 9

Q5) 2 - 8 Q6) 0 - 6 Q7) -3 - 4 Q8) -5 - 2

Q9) -1 + 7 Q10) -3 + 12 Q11) -5 + 4 Q12) -8 + 3

Q13) -13 + 6 Q14) -18 + 22 Q15) 19 - 21 Q16) -14 + 22

Q17) -20 - 1 Q18) -12 - 10 Q19) -7 - 8 Q20) 30 - 40

Q21) -100 + 23 Q22) -108 + 65 Q23) -93 + 200 Q24) -81 - 27



Q2. 34 + 72

Q3. 451 - 223

Q4. 67 x 5

Q5. What is the HCF of 16 and 20?

Adding a negative is the same as taking away.

Negative Numbers

Examples:

(a) 4 + (-7)

(b) 13 + (-3)

(c) -12 + (-5)

(d) -17 + (-1)

‐10 ‐9 ‐8 ‐7 ‐6 ‐5 ‐4 ‐3 ‐2 ‐1 0 1 2 3 4 5 6 7 8 9 10

Negative Numbers


1) Work out the following:

a) 14 + (-7) b) 13 + (-2) c) 14 + (-5)

d) -12 + (-5) e) -4 + (-8) f) -2 + (-7)

g) -40 + (-43) h) 5 + (-15) i) 4 + (-12)

Q2.

‐10 ‐9 ‐8 ‐7 ‐6 ‐5 ‐4 ‐3 ‐2 ‐1 0 1 2 3 4 5 6 7 8 9 10

Negative Numbers

Negative Numbers


Q1. Round 18.99 to the nearest unit

Q2. Find the LCM of 4 and 3

Q3. List all the factors of 30

Q4. 921 - 454 Q5. 33 x 8


Negative Numbers

Taking away a negative is the same as adding!

Examples:

(a) 5 - (-3)

(b) 7 - (-4)

(c) -3 - (-5)

(d) -17 - (-8)

‐10 ‐9 ‐8 ‐7 ‐6 ‐5 ‐4 ‐3 ‐2 ‐1 0 1 2 3 4 5 6 7 8 9 10

Negative Numbers


Negative Numbers

1) Work out the following:

a) 4 - (-1) b) 7 - (-3) c) 15 - (-6)

d) -3 - (-5) e) -4 - (-6) f) -2 - (-7)

g) -15 - (-6) h) -10 - (-15) i) -24 - (-12)

(j) 39 - (-15) (k) 22 - (-13) (l) 25 - (-15)

2) Mixed questions:

(i) 21 - 22 (ii) -5 + 15 (iii) 3 - (-7) (iv) -4 + (-6)

(v) -18 - (-12) (vi) 95 - (-5) (vii) -13 + (-7)



Q2. 319 - 227

Q3. 418 x 6

Q4. 9 - 3 x 5

Q5. -13 + 4

Do sums for Q2 and Q3!

Today we will be continuing to practise working with negative numbers.


Q1. Round £17.89 to the nearest pound

Q2. 7 ‐ 3 x 4

Q3. What is the highest common factor of 24 and 20?

Q4. What is the LCM of 4 and 8?

Q5. ‐5 + 14

Today we will be learning to multiply negative numbers.


Multiplying Negative Numbers

Examples:

(a) -3 x 4 (b) 5 x (-7) (c) 12 x (-2) (d) 7 x (-9)

negative x positive = negativeQuestions

(a) 4 x (-7) (b) -3 x 6 (c) -10 x 2 (d) 3 x (-2)

(e) -5 x 5 (f) 10 x (-2) (g) 4 x (-5) (h) (-8) x 6

(i) -4 x 4 (j) 2 x (-5) (k) -3 x 5 (l) 10 x -6

(m) -12 x 3 (n) -17 x 5 (o) 8 x -4 (p) 24 x -2

(q) 133 x -7 (r) -1009 x 8 (s) -3 x 500 (t) -44 x 50

Multiplying Negative Numbers



Q2. Write two hundred thousand and three in digits

Q3. 4 + 6 x 7

Q4. 2533 x 6

Q5. 5 (4)

Today we will be learing how to multiply and divide negative numbers.



Q1. 438 + 219

Q2. 45 x 6

Q3. 3 - 2 x 4

Q4. 9 - (-9) Q5. 8 + (-4)

Today we will be learning how to divide and multiply a negative by a negative.

Dividing a negative by a negative

How many (-3)'s are in -9?

A negative divided by a negative = A positive

How many (-5)'s are in -30?

Examples:

(a) -15 ÷ (-5) (b) -48 ÷ (-6)


Questions:

(i) -9 ÷ (-3) (ii) -15 ÷ (-3) (iii) -24 ÷ (-6)

(iv) -21 ÷ (-3) (v) -18 ÷ (-9) (vi) -54 ÷ (-9)

(vii) -56 ÷ (-8) (viii) -63 ÷ (-9) (ix) -22 ÷ (-11)


Questions:

(i) -9 ÷ (-3) (ii) -15 ÷ (-3) (iii) -24 ÷ (-6)

(iv) -21 ÷ (-3) (v) -18 ÷ (-9) (vi) -54 ÷ (-9)

(vii) -56 ÷ (-8) (viii) -63 ÷ (-9) (ix) -22 ÷ (-11)



Q1. Round 816 to the nearest hundred

Q2. 10 2 x 7

Q3. List all the factors of 40

Q4. 411 + 226

Q5. 3 x (4)


Q1. 8 x 2 - 3

Q2. 16 - (-11)

Q3. 4 x -5

Q4. What is the LCM of 3 and 4? Q5. 324 ÷ 4


Homework Online due Friday 2.12.2016

Multiplying a negative by a negative

A negative multiplied by a negative = A positive

Examples:

(a) -3 x (-4) (b) -7 x (-5)

Questions:

(a) -4 x -7 (b) -2 x -8 (c) -5 x -2 (d) -10 x -10

(e) -5 x -6 (f) -9 x -7 (g) -8 x -3 (h) -9 x -2

(i) -7 x -2 (j) -3 x -6 (k) -5 x -6 (l) -9 x -4

(m) -9 x -8 (n) -4 x -3 (o) -100 x -8 (p) -1000 x -3

Multiplying a negative by a negative

Page 18 Q7 x -2 -1 1 2

-2

-1

1

2


Dividing a positive by a negative

20 ÷ -5


15 Questions Mental Maths

Today we will be completing a check-up on negative numbers.

Attachments

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Jan 22-14:58 1. List the first 10 multiples of:- (a) 4 (b) 5 2. Find the lowest common multiple (LCM) of each of the following sets of numbers. (a) 8 and 2 (b) 4 and 5 (c) 3, 5 and 10 3. Find the highest common factor (HCF) for each of the following:- (a) 12 and 16 (b) 5 and 10 4. There is only one number which is both a multiple and a factor of 24. What is the number? 5. What is the special name for the multiples of two 6. List all the prime numbers between 1 and 20. 7. List each of the following numbers as a product of primes:- (Hint:- construct a “Prime factor tree”) (a) 36 (b) 24 Types of numbers Check Up 8. Three basketballs are bounced. Ball A is bounced every 3 seconds, Ball B is bounced every 5 seconds and Ball C is bounced every 6 seconds. The three basketballs are all bounced together at the start. How many seconds will it take for them to bounce at the same time again?

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Jan 22-14:58 1. Excluding zero, list the first 6 multiples of:- (a) 7 (b) 12 2. Find the lowest common multiple, l.c.m, of each of the following sets of numbers. (a) 8 and 2 (b) 7 and 5 (c) 3, 5 and 10 3. Find the highest common factor h.c.f for each of the following:- (a) 12 and 16 (b) 17 and 34 4. There is only one number which is both a multiple and a factor of 24. What is the number? 5. What is the special name for the multiples of two 6. List all the prime numbers between 1 and 20. 7. List each of the following numbers as a product of primes:- (Hint:- construct a “Prime factor tree”) (a) 72 (b) 28 (c) 150 Types of numbers 8. Three basketballs are bounced. Ball A is bounced every 3 seconds, Ball B is bounced every 5 seconds and Ball C is bounced every 6 seconds. The three basketballs are all bounced together at the start. How many seconds will it take for them to bounce at the same time again?

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Oct 9-11:40

SMART Notebook

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