Number System

Q1: Fill in the blanks

i. In 24673, the place value of 6 is:

6 is in the hundreds place
⇒ 6 × 100 = 600

ii. In 8039, the place value of 8 is:

8 is in the thousands place
⇒ 8 × 1000 = 8000

iii. In 325648, the local value of 2 is:

2 is in the ten thousands place
⇒ 20000

iv. In 6439, the local value of 3 is:

3 is in the tens place
⇒ 30

Q2: Find the difference between the place values of 3 and 5 in the number 3945.

Place value of 3 = 3 × 1000 = 3000
Place value of 5 = 5 × 1 = 5
⇒ Difference = 3000 − 5 = 2995

Q3: In the number 40562

i. Local value of 5:

⇒ 5 is in the hundreds place
⇒ 500

ii. Face value of 6:

⇒ 6

iii. Sum of place value of 5 and face value of 6:

Place value of 5 = 5 × 100 = 500
Face value of 6 = 6
⇒ 500 + 6 = 506

Q4: Find the difference in the place values of the two sevens in the number 8,72,574.

Left 7 → ten-thousands place = 7 × 10000 = 70000
Right 7 → hundreds place = 7 × 10 = 70
⇒ Difference = 70000 − 70 = 69930

Q5: Find the difference between the face value of 9 and the face value of 4 in the number 324798.

Face value of 9 = 9
Face value of 4 = 4
⇒ 9 − 4 = 5