Chapter 1.1 (Mathematics Std 7)

Place value, total value

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Place value and total value of digits

  1. The number represented in A is 5 248 697. What is the place value for each digit?
    • 5 is in the millions
    • 2 is in the hundred thousands
    • 4 is in the thousands
    • 8 is in the thousands
    • 6 is in the hundreds
    • 9 is in the tens
    • 7 is in the ones

In words 5 248 697 is five million two hundred forty eight thousand six hundred and ninety seven. The total value for each digit in 5 248 697 are:

  1. The number represented in B is 64 003 082.
    • The place value of 6 is ten millions.
    • The total value of 6 is 6 × ten million:
      ​6 × 10 000 000 = 60 000 000​

64 003 082 in words is sixty four million three thousand and eighty two.

Task

  1. What is the number represented in C and D?
    1. C is .
    2. D is .
  2. What is the place value of digit 7 in C and digit 9 in D?
    1. Place value of 7 in C is
    2. Place value of 9 in D is
  1. What is the total value of digit 7 in C and digit 9 in D?
    1. Total value of 7 in C is
    2. Total value of 9 in D is
  2. Write the number represented in C and D in words.
    1. C is .
    2. D is .
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Examples

Example 1.1

Look at the number 240 576 183. What is the total value of the digit in:

  1. the hundred thousands place?
  2. ten million place?
Working
  1. The digit in the hundred thousands place is 5.
    ∴ ​The total value is 5 × 100 000 = 500 000
  2. The digit in the ten millions place is 4.
    ∴ ​The total value is 4 × 10 000 000 = 40 000 000

Example 1.2

What is a) the place value b) the total value of the digit 4 in the number 2 340 101?

Working
  1. The place value of 4 is ten thousands.
  2. The total value of 4 is 4 × 10 000 = 40 000

Example 1.3

Rearrange the digits 1, 0, 3, 4, 8, 2 to make:

  1. the largest number possible.
  2. the smallest number possible.
Working
  1. Largest number possible is 843 210.
  2. Smallest number possible is 102 348.
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Exercise 1.1

  1. 2 576 103
    ∴
  2. 8 004 192
    ∴
  3. 25 109 764
    ∴
  4. 164 708 592
    ∴
  5. 351 978 360
    ∴
  6. 931 584 607
    ∴

Number

Number in words

a) 75 301

 thousand  hundred and 

b) 370 024

 thousand and 

c) 5 000 300

 million  hundred

d) 100 001

e) 99 999 999

 million  thousand  hundred and 

f) 4 050 080

  1. Four thousand and one
    ∴ 
  2. Forty million and one hundred
    ∴ 
  3. Seven million and one hundred
    ∴ 
  4. Nineteen million two hundred three thousand five hundred and fifty
    ∴ 
  5. Five million three hundred five thousand and four
    ∴ 
  1. 7 300 400
    ∴
  2. 1 234 567
    ∴
  3. 2 222 222
    ∴
  4. 1 849 089
    ∴
  • 9 470 000
  • 571 900
  • 200
  • 1 800
  • 220
  • 571 850
  • 9 400 000
  • 2 000
  1. 222 (10)
    ∴
  2. 1 849 (1 000)
    ∴
  3. 571 851 (100)
    ∴
  4. 9 465 555 (10 000)
    ∴
  1. 1, 2, 3, 4
  • 1
  • 3
  • 2
  • 4
  1. 1, 0, 0, 9
  • 0
  • 1
  • 0
  • 9
  1. 4, 3, 7, 0
  • 0
  • 4
  • 3
  • 7
  1. 4, 3, 2, 1
  • 4
  • 2
  • 3
  • 1
  1. 9, 2, 5, 4
  • 9
  • 4
  • 5
  • 2
  1. 7, 3, 9, 1
  • 9
  • 3
  • 7
  • 1

Place value

4

1

3

6

5

2

8

7

Total value

4

1

3

6

5

2

8

7

Largest

Smallest

Difference

a) 2 471

b) 3 493

c) 8 146

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