Page 8 - SM Class 4 Inner.cdr

5-Digits number on spike abacus

(i) In ones or unit place there is no beads that
represents 0 ; in tens place also there is no bead that
represents 0 ; in hundreds place also there is no bead
that represents 0 ; in thousands place also there is
no bead that represents 0 and in ten thousands
TTh Th H T O
1 0 0 0 0 place there is only one bead that represents 1 .
Ten Thousand

(ii) In ones or unit place there are two beads that
represents 2 ; in tens place there are four beads that
represents 4 ; in hundreds place there are seven beads
that represents 7 ; in thousands place there are three
TTh Th H T O beads that represents 3 and in ten thousands place
6 3 7 4 2 there are six beads that represents 6 .
Sixty three thousand
seven hundred forty–two

6-Digit number on spike abacus

(iii) In ones place, there are seven beads which
represent 7 , in tens place there are three beads

which represents 3 , similarly 5 beads at
4
8
hundreds place, beads at thousands place,
beads at ten thousand place and beads at
2
lakhs place. L TTh Th H T O
It represent the number Two lakh forty-eight 2 4 8 5 3 7
thousand five hundred thirty-seven
2, 48, 537

Expanded Form

The expanded form of a number is to write it as the sum of the place value of the
digits. Take a number 417392 and write it with place value of each digit.

L TTh Th H T O
4 1 7 3 9 2
× × × × × ×
100000 10000 1000 100 10 1

Expanded form of 417392
= 4 × 100000 + 1 × 10000 + 7 × 1000 + 3 × 100 + 9 × 10 + 2 × 1

Similarly, the short form of the expanded form is
300000 + 70000 + 4000 + 300 + 80 +6 = 374386

8
Mathematics In Focus - 4