Standard: 7th Standard
Chapter: Multiplication of Decimal Numbers by 10, 100 and 1000

Q1.

Example 1.21 Find the value of the following

(i) 3.26×10

Answer:

Multiplying Decimal by 10

Question:
Find the value of 3.26 × 10

Simple Trick

When we multiply a decimal number by 10, the decimal point moves one place to the right.

Step 1: Write the Number

3.26

Step 2: Move the Decimal One Place to the Right

32.6

Final Answer:

3.26 × 10 = 32.6

Extra Examples:

  • 4.5 × 10 = 45
  • 7.8 × 10 = 78
  • 0.9 × 10 = 9
Q2.

Example 1.21 Find the value of the following

(ii) 3.26×100

Answer:

Multiplying Decimal by 100

Question:
Find the value of 3.26 × 100

Simple Trick

When we multiply a decimal number by 100, the decimal point moves two places to the right.

Step 1: Write the Number

3.26

Step 2: Move the Decimal Two Places to the Right

3.26 → 32.6 → 326

Final Answer:

3.26 × 100 = 326

More Examples:

  • 4.5 × 100 = 450
  • 7.8 × 100 = 780
  • 0.9 × 100 = 90
Q3.

Example 1.21 Find the value of the following

(iii) 3.26×1000

Answer:

Multiplying Decimal by 1000

Question:
Find the value of 3.26 × 1000

Simple Trick

When we multiply a decimal number by 1000, the decimal point moves three places to the right.

Step 1: Write the Number

3.26

Step 2: Move the Decimal Three Places to the Right

3.26 → 32.6 → 326 → 3260

Final Answer:

3.26 × 1000 = 3260

Easy Rule:

  • ×10 → Move 1 place
  • ×100 → Move 2 places
  • ×1000 → Move 3 places
Q4.

Example 1.21 Find the value of the following

(iv) 7.01×10

Answer:

Multiplying Decimal by 10

Question:
Find the value of 7.01 × 10

Simple Trick

When we multiply a decimal number by 10, the decimal point moves one place to the right.

Step 1: Write the Number

7.01

Step 2: Move the Decimal One Place to the Right

7.01 → 70.1

Final Answer:

7.01 × 10 = 70.1

Easy Rule:

  • ×10 → Move 1 place
  • ×100 → Move 2 places
  • ×1000 → Move 3 places
Q5.

Example 1.21 Find the value of the following

(v) 7.01×100

Answer:

Multiplying Decimal by 100

Question:
Find the value of 7.01 × 100

Simple Trick

When we multiply a decimal number by 100, the decimal point moves two places to the right.

Step 1: Write the Number

7.01

Step 2: Move the Decimal Two Places to the Right

7.01 → 70.1 → 701

Final Answer:

7.01 × 100 = 701

Easy Rule:

  • ×10 → Move 1 place
  • ×100 → Move 2 places
  • ×1000 → Move 3 places
Q6.

Example 1.21 Find the value of the following

(vi) 7.01×1000

Answer:

Multiplying Decimal by 1000

Question:
Find the value of 7.01 × 1000

Simple Trick

When we multiply a decimal number by 1000, the decimal point moves three places to the right.

Step 1: Write the Number

7.01

Step 2: Move the Decimal Three Places to the Right

7.01 → 70.1 → 701 → 7010

Final Answer:

7.01 × 1000 = 7010

Easy Rule:

  • ×10 → Move 1 place
  • ×100 → Move 2 places
  • ×1000 → Move 3 places
Q7.

Example 1.22 A concessional entrance ticket for students to visit a zoo is ₹ 12.50. How much has to be paid for 20 tickets?

Answer:

Word Problem on Decimal Multiplication

Question:
A concessional entrance ticket for students to visit a zoo costs ₹ 12.50. How much has to be paid for 20 tickets?

Step 1: Understand the Question

Cost of 1 ticket = ₹ 12.50
Number of tickets = 20

Total Cost = Cost of 1 ticket × Number of tickets
= 12.50 × 20

Step 2: Multiply

   1250
×    20
--------
 25000

Step 3: Put the Decimal Point

12.50 has 2 decimal places.
So, 12.50 × 20 = 250.00

Final Answer:

Total amount to be paid = ₹ 250

Shortcut Method:

20 = 2 × 10
12.50 × 2 = 25
25 × 10 = 250

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