positive and negative numbers. working with numbers

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Positive and Negative Numbers. Working with Numbers. LEARNING OUTCOMES: Identify the value of any digit in a number. Using directed numbers in everyday life. Ordering directed numbers. Adding and subtracting directed numbers. Multiplying and dividing directed numbers. - PowerPoint PPT Presentation

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  • Positive and Negative Numbers.Working with Numbers.LEARNING OUTCOMES:Identify the value of any digit in a number.Using directed numbers in everyday life.Ordering directed numbers.Adding and subtracting directed numbers.Multiplying and dividing directed numbers.Addition and subtraction.Long multiplication.Long division.

  • Place Value.Positive and negative numbers.1. Write down the value of the numbers below in the number 3 546 281.

    6 ________________________________________

    4 ________________________________________

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.1. Write down the value of the numbers below in the number 3 546 281.

    6 6 000

    4 40 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.2. Write down the value of the 4 in the number 674 893.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.2. Write down the value of the 4 in the number 674 893.

    4 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.3. Write down the value of the 7 in the number 278 661.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.3. Write down the value of the 7 in the number 278 661.

    70 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.4. Write down the value of the 2 in the number 294 803.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.4. Write down the value of the 2 in the number 294 803.

    200 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.5. Write down the value of the 5 in the number 5 106 782.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.5. Write down the value of the 5 in the number 5 106 782.

    5 000 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.6. Write the number seventeen thousand, three hundred and fifty two in figures.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.6. Write the number seventeen thousand, three hundred and fifty two in figures.

    17 352

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.7. Write the number thirteen thousand, one hundred and seventy six in figures.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.7. Write the number thirteen thousand, one hundred and seventy six in figures.

    13 176

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.8. Write the number a quarter of a million in figures.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.8. Write the number a quarter of a million in figures.

    250 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.9. Write six and a half million in figures.

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Place Value.Positive and negative numbers.9. Write six and a half million in figures.

    6 500 000

    Place value of digits10 000 0001 000 000100 00010 0001 000100101TenmillionsMillionHundred thousandsTen thousandsThousandsHundredsTensUnits

  • Directed Numbers.Positive and negative numbers.1. Below you can see the temperature in five towns at midnight.

    a) Which town had the lowest temperature? _________________________

    b) What is the difference in temperature between Perth and Swansea? __________

    c) By 6am the temperature has risen by 9C in Swansea. What is the new temperature in Swansea? ________________

    d) At 5am the temperature falls by 7C in Oswestry. What is the newtemperature? ___________________

    TownPerthOldhamOswestrySwanseaWrexhamTemp. C6-63-47

  • Directed Numbers.Positive and negative numbers.1. Below you can see the temperature in five towns at midnight.

    Which town had the lowest temperature? Oldham

    b) What is the difference in temperature between Perth and Swansea? 10C

    c) By 6am the temperature has risen by 9C in Swansea. What is the new temperature in Swansea? 5C

    d) At 5am the temperature falls by 7C in Oswestry. What is the newtemperature? -4C

    TownPerthOldhamOswestrySwanseaWrexhamTemp. C6-63-47

  • Directed Numbers.Positive and negative numbers.2. Susan wrote down the temperature at different times on Christmas day.

    a) What is the lowest temperature? ______________________________

    b) Work out the difference in temperature between 4am and 8am. _____________

    c) Work out the difference in temperature between 3pm and 7pm. ______________

    d) By 11pm the temperature had fallen by 5C from its value at 7pm. Work out the temperature at 11pm. ______________________________________

    Time1am4am8amnoon3pm7pmTemp. C-6-10-575-3

  • Directed Numbers.Positive and negative numbers.2. Susan wrote down the temperature at different times on Christmas day.

    a) What is the lowest temperature? -10C

    b) Work out the difference in temperature between 4am and 8am. 5C

    c) Work out the difference in temperature between 3pm and 7pm. 8C

    d) By 11pm the temperature had fallen by 5C from its value at 7pm. Work out the temperature at 11pm. -8C

    Time1am4am8amnoon3pm7pmTemp. C-6-10-575-3

  • Directed Numbers.Positive and negative numbers.3. Place these numbers in order of size, smallest first.

    5, -6, -10, 2, -4

  • Directed Numbers.Positive and negative numbers.3. Place these numbers in order of size, smallest first.

    5, -6, -10, 2, -4

    -10, -6, -4, 2, 5

  • Directed Numbers.Positive and negative numbers.4. Place these numbers in order of size, biggest first.

    4, -3, 1, -5, -7

  • Directed Numbers.Positive and negative numbers.4. Place these numbers in order of size, biggest first.

    4, -3, 1, -5, -7

    4, 1, -3, -5, -7

  • Directed Numbers.Positive and negative numbers.5. Place these numbers in order of size, smallest first.

    -2, 6, 2, -3, 3

  • Directed Numbers.Positive and negative numbers.5. Place these numbers in order of size, smallest first.

    -2, 6, 2, -3, 3

    -3, -2, 2, 3, 6

  • Multiplying and Dividing Directed Numbers.Positive and negative numbers.1. Work these out without a calculator.

    (+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -

    3 x -4-5 x -6-20 / 44 x 5-4 x 67 x -2-3 x -4-4 x -27 x -6-9 x -2

  • Multiplying and Dividing Directed Numbers.Positive and negative numbers.1. Work these out without a calculator.

    (+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -

    3 x -4 = -12-5 x -6 = 30-20 / 4 = -54 x 5 = 20-4 x 6 = -247 x -2 = -14-3 x -4 = 12-4 x -2 = 87 x -6 = -42-9 x -2 = 18

  • Multiplying and Dividing Directed Numbers.Positive and negative numbers.1. Work these out without a calculator.

    (+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -

    6 / 2-10 / 215 / -324 / -6-12 / 2-30 / -1018 / -350 / 10-5 x 6 x -2-2 x -3 x -4

  • Multiplying and Dividing Directed Numbers.Positive and negative numbers.1. Work these out without a calculator.

    (+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -

    6 / 2 = 3-10 / 2 = -515 / -3 = -524 / -6 = -4-12 / 2 = -6-30 / -10 = 318 / -3 = -650 / 10 = 5-5 x 6 x -2 = -30 x -2 = 60-2 x -3 x -4 = 6 x -4 = -24

  • Adding and Subtracting Directed Numbers.Positive and negative numbers.1. Work these out without a cal