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Place Value. Page 5 – 12. Pages 6 – 8. Understanding Place Value. What is the difference between digits & numbers? What do these four numbers have in common? 4,321 1,234 3,412 2,143
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Place Value Page 5 – 12
Pages 6 – 8 Understanding Place Value • What is the difference between digits & numbers? • What do these four numbers have in common? 4,321 1,234 3,412 2,143 • The digits are the same, but each number has a different value. This is because the digits are in different places in each number. In our number system the place of the digit tells you its value. In other words, each digit in a number has a place value.
Pages 6 – 8 Understanding Place Value: Cont. thousands hundreds tens units or ones 4,321 1,234 3,412 2,143
Pages 6 – 8 Example • Which of the following numbers has a 5 in the hundreds place? • 6,235 • 5,623 • 3,265 • 2,536 • What is the value of the digit 9 in the number 9,204?
Pages 6 – 8 Group Work • Use the number 7,856 to answer questions 1 to 6. • Which digit is in the thousands place? • Which digit is in the hundreds place? • What is the value of the digit 7? • What is the value of the digit 8? • What is the value of the digit 5? • What is the value of the digit 6?
Pages 11 – 12 Rounding Whole Numbers • A round number – a number that ends with zero – is easier to work with. • Later, when you learn to estimate answers, you will often round the numbers in problems to similar numbers that end with zeros.
Pages 11 – 12 Rounding Whole Numbers: cont. • To round a whole number do the following steps: • Underline the digit in the place you are rounding to. • If the digit to the right of the underlined digit is greater than or equal to 5, add 1 to the underlined digit • If the digit to the right of the underlined digit is less than 5, leave the underlined digit as it is. • Change all the digit to the right of the underlined digit to zero.
Pages 11 – 12 Example • Round each number to the nearest thousand • 3,614 • 8,469 • 9,530
Pages 11 – 12 Group Work • Round each number to the nearest hundred. • 294 • 2,319 • 927 • 6,859 • 371 • 661