Examples with solutions for Multiplying and Dividing Decimal Fractions by 10, 100, etc.: Division by 100

Exercise #1

124:100= 124:100=

Video Solution

Step-by-Step Solution

To solve this problem of dividing 124 by 100, we apply the following procedure:

  • Step 1: Recognize that the number 124 can be simplified in our problem by considering it with a decimal for ease, 124=124.0 124 = 124.0 .
  • Step 2: Understand that dividing by 100 means moving the decimal point two places to the left.
  • Step 3: Move the decimal point from its original position (at the end of 124.0) to two places to the left. After sliding the decimal point, 124.0 124.0 becomes 1.24 1.24 .

Hence, when we divide 124 by 100, the resulting number is 1.24 1.24 .

Answer

1.24 1.24

Exercise #2

1036:100= 1036:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand the given information and operation.
  • Step 2: Apply the rule for division by 100.
  • Step 3: Perform the calculation and check against the choices.

Now, let's work through each step:

Step 1: We need to divide 1036 by 100. This is equivalent to finding how many hundreds fit into 1036.

Step 2: When dividing a number by 100, the decimal point is shifted two positions to the left. The original number 1036 can be expressed as 1036.0 (adding a decimal point and a zero for clarity). By moving the decimal point two places to the left, we convert 1036.0 to 10.36.

Step 3: Therefore, 1036÷100=10.36 1036 \div 100 = 10.36 .

Comparing this result to the given multiple-choice options, the correct answer is choice 2, which is 10.36 10.36 .

Therefore, the solution to this problem is 10.36 10.36 .

Answer

10.36 10.36

Exercise #3

2101:100= 2101:100=

Video Solution

Step-by-Step Solution

To solve 2101÷100 2101 \div 100 , we proceed as follows:

Step 1: Understand the effect of dividing by 100. Dividing by 100 means moving the decimal point two spaces to the left in the number 2101.

Step 2: Initially, 2101 can be thought of as 2101.0 for ease of manipulation, even though it is a whole number.

Step 3: Shift the decimal two places to the left.

  • Originally: 2101.0
  • First shift: 210.10 (Moving one place)
  • Second shift: 21.01 (Moving the second place)

Thus, the number after division is 21.01. Therefore, the result of 2101÷100 2101 \div 100 is 21.01 21.01 .

Consequently, the solution to the problem is 21.01 21.01 .

Answer

21.01 21.01

Exercise #4

33631:100= 33631:100=

Video Solution

Step-by-Step Solution

To solve this division problem, we need to divide the number 33631 by 100. This can be efficiently accomplished by shifting the decimal point two positions to the left, given the rule of dividing by powers of 10.

Let's follow this step-by-step:

  • Step 1: Recognize that 33631 as a whole number can be rewritten as 33631.0, indicating the implicit decimal point.
  • Step 2: For division by 100, shift the decimal point two places to the left.

Routinely executing this: 33631.0 becomes 336.31, as the decimal point shifts two positions to the left.

Thus, after dividing 33631 by 100, the result is 336.31 336.31 .

Answer

336.31 336.31

Exercise #5

100.1:100= 100.1:100=

Video Solution

Step-by-Step Solution

To solve the problem of dividing 100.1 by 100, we will perform the following steps:

  • Step 1: Identify the starting position of the decimal point in 100.1, which is 1 place after the first zero, i.e., between 100 and 1.
  • Step 2: Move the decimal point two places to the left because we are dividing by 100. The first move places the decimal point before '0', and the second move places it before '1'.
  • Step 3: Now, add zeros if needed to the front to denote the newly formed decimal number.

After moving the decimal, 100.1 becomes 1.001. This is the result of dividing 100.1 by 100. Therefore, the solution to the problem is:

1.001 1.001

Answer

1.001 1.001

Exercise #6

15.2:100= 15.2:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Perform the division by shifting the decimal
  • Step 3: Determine the correct answer choice

Now, let's work through each step:
Step 1: We are given 15.2 15.2 and need to divide by 100 100 .
Step 2: Since dividing by 100 100 involves moving the decimal point two places to the left, we take 15.2 15.2 and shift the decimal to get 0.152 0.152 .
Step 3: Comparing our result with the answer choices, 0.152 0.152 corresponds to choice id 3 3 .

Therefore, the solution to the problem is 0.152 0.152 .

Answer

0.152 0.152

Exercise #7

62.35:100= 62.35:100=

Video Solution

Step-by-Step Solution

To solve the problem of dividing 62.35 62.35 by 100 100 , we need to understand how dividing by powers of ten affects a decimal. Dividing by 100 100 is equivalent to shifting the decimal point two places to the left.

Let's follow these steps to find our solution:

  • Step 1: Identify the original decimal: 62.35 62.35 .

  • Step 2: Since we are dividing by 100 100 , shift the decimal point two places to the left:

Starting with 62.35 62.35 , the decimal point is currently after the 2 2 . Moving it two places to the left gives us: Initial:amp;62.35Shift one place:amp;6.235Shift two places:amp;0.6235 \begin{aligned} Initial: & \quad 62.35\\ Shift~one~place: & \quad 6.235\\ Shift~two~places: & \quad 0.6235 \end{aligned}

Therefore, the result of dividing 62.35 62.35 by 100 100 is 0.6235 0.6235 .

Examining the choices, the correct answer is clearly choice (2): 0.6235 0.6235 .

Thus, the solution to the problem is 0.6235 \boxed{0.6235} .

Answer

0.6235 0.6235

Exercise #8

1.2:100= 1.2:100=

Video Solution

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Identify the given information, which is the number 1.2 and that we need to divide it by 100.
  • Step 2: Recognize that dividing by 100 means moving the decimal point in 1.2 two places to the left.
  • Step 3: Shift the decimal point two places to the left in 1.2, resulting in 0.012.

Now, let's work through this solution in detail:

Step 1: We begin with the number 1.2.
Step 2: To divide by 100, visualize the decimal point moving two places left. Since 1.2 is represented as 1.2 (or 1.20 for easier visualization), the decimal point moves past the "1" and an extra zero is added in front:
- Original: 1.2
- First move: 0.12
- Second move: 0.012

Therefore, the solution to the problem is 0.012 0.012 .

Answer

0.012 0.012

Exercise #9

13:100= 13:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll divide 13 by 100 using the movement of the decimal point method:

  • Step 1: Convert the integer 13 to a decimal by considering it as 13.0. This highlights the position where the decimal point begins.
  • Step 2: Since we are dividing by 100, we need to move the decimal point two places to the left. Starting with 13.0:
    • First move one place left: 1.30
    • Second move one place left: 0.130
  • Step 3: Thus, the final representation after moving two places to the left is 0.13.

Therefore, when dividing 13 by 100, the resulting decimal number is 0.13 0.13 .

The correct answer from the given choices is choice (3), which is 0.13 0.13 .

Answer

0.13 0.13

Exercise #10

1.55:100= 1.55:100=

Video Solution

Step-by-Step Solution

To solve the problem of dividing 1.55 by 100, follow these steps:

  • Step 1: Understand that dividing by 100 means moving the decimal point two places to the left.
  • Step 2: Start with the number 1.55. The decimal is currently between the 1 and the 5.
  • Step 3: Move the decimal point two places to the left. The first move takes it in front of the 1, making it 0.155. The second move places it to the left of the 0, resulting in 0.0155.

Therefore, when you divide 1.55 by 100, the result is 0.0155 0.0155 .

Given the available choices, the correct choice is choice 3: 0.0155 0.0155 .

Therefore, the solution to the problem is 0.0155 0.0155 .

Answer

0.0155 0.0155

Exercise #11

15.5:100= 15.5:100=

Video Solution

Step-by-Step Solution

To solve the division of 15.5 15.5 by 100 100 , we follow these steps:

  • Step 1: Identify the position of the decimal point in 15.5 15.5 . Initially, the decimal point is just after the digit 15 15 .
  • Step 2: Move the decimal point two places to the left. This is because dividing by 100 100 shifts the decimal to the left by two places. Thus, 15.5 15.5 becomes 0.155 0.155 .

Therefore, the result of 15.5÷100 15.5 \div 100 is 0.155 \boxed{0.155} .

Answer

0.155 0.155

Exercise #12

1:100= 1:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Start with the number 1, which can be written as 1.00 1.00 .

  • Step 2: Since dividing by 100 is involved, we move the decimal point two places to the left, resulting in 0.01.

  • Step 3: Identify the answer from the given choices.

Now, let's work through each step:
Step 1: Write the number 1 in decimal form as 1.00.
Step 2: Divide by 100 by moving the decimal point two places to the left.
- Moving one place to the left gives 0.10.
- Moving another place to the left gives 0.01.
Step 3: The resulting value is 0.01, which corresponds to choice 2.

Therefore, the solution to the problem is 0.01 0.01 .

Answer

0.01 0.01

Exercise #13

10:100= 10:100=

Video Solution

Step-by-Step Solution

To solve the problem of dividing 10 10 by 100 100 , we'll follow these steps:

  • Recognize the task as a division by 100.
  • Understand that dividing by 100 effectively moves the decimal point two places to the left.
  • Apply this understanding directly to the number 10 10 .

Let's work through these steps:

The number 10 10 can be written as 10.0 10.0 , and dividing by 100 100 means moving the decimal point two places to the left.
So, starting with 10.0 10.0 , we move the decimal:

Before: 10.0 \text{Before: } 10.0

After moving the decimal two places left: 0.10 \text{After moving the decimal two places left: } 0.10

Thus, 10:100=0.1 10:100 = 0.1 .

The correct answer is therefore: 0.1 0.1 .

Answer

0.1 0.1

Exercise #14

9.19:100= 9.19:100=

Video Solution

Step-by-Step Solution

To solve the division of 9.19 9.19 by 100, we follow these steps:

  • Identify the initial position of the decimal point in 9.19 9.19 .
  • Move the decimal point two places to the left since we are dividing by 100.
  • Record the resulting number.

Let's work through this:


Original number: 9.19 9.19

Step 1: Current position of the decimal in 9.19 9.19 is between 9 and 1.

Step 2: Move the decimal two places to the left:

- First move: From between 9 and 1 to before 9, it becomes 0.919 0.919

- Second move: Insert an extra 0 to the left, resulting in 0.0919 0.0919


Therefore, the result of 9.19÷100 9.19 \div 100 is 0.0919\mathbf{0.0919}.

The correct choice matches the calculated result, which confirms choice 2 2 : 0.0919 \mathbf{0.0919} .

Answer

0.0919 0.0919

Exercise #15

118:100= 118:100=

Video Solution

Step-by-Step Solution

To solve this problem, we need to divide 118 118 by 100 100 . To do this, we'll use the method of moving the decimal point.

The number 118 118 can be expressed as 118.0 118.0 with an implied decimal point at the end. When dividing by 100 100 , which is 102 10^2 , we move the decimal point two places to the left to find the quotient.

  • First Place: 118.011.80 118.0 \to 11.80
  • Second Place: 11.801.180 11.80 \to 1.180

After moving the decimal two places to the left, the result becomes 1.18 1.18 .

Therefore, the solution to the problem is 1.18 1.18 .

Answer

1.18 1.18

Exercise #16

12:100= 12:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Interpret the division operation and use it.
  • Step 2: Apply the division method by shifting the decimal.

Now, let's work through each step:
Step 1: The problem gives us the division operation 12:100 12:100 . We can represent this as 12100 \frac{12}{100} or 12÷100 12 \div 100 .
Step 2: When we divide 12 by 100, we shift the decimal point of 12 two places to the left. The number 12 can be written as 12.0 (with an implied decimal point), so shifting two places gives us 0.12.

Therefore, the result of 12:100 12:100 is 0.12 0.12 .

Answer

0.12 0.12

Exercise #17

231:100= 231:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the current position of the decimal point.
  • Step 2: Move the decimal point two places to the left, as we are dividing by 100.

Now, let's work through the calculation:

Step 1: The number 231 is actually 231.0 when viewed as a decimal.

Step 2: Since we are dividing by 100, we move the decimal point two places to the left:
Starting from 231.0, moving two places left gives us 2.31.

Therefore, the solution to the problem is 2.31 2.31 .

Answer

2.31 2.31

Exercise #18

1.100:100= 1.100:100=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand the concept of dividing by 100
  • Step 2: Apply this concept to 1.100 by moving the decimal point two places to the left
  • Step 3: Verify the final answer against the choices provided

Now, let's work through each step:

Step 1: When dividing a number by 100, move the decimal point two places to the left. This is because 100 is 10210^2, so we shift the decimal point by two places.

Step 2: Starting with the number 1.100, we move the decimal point two places to the left. The decimal point moves as follows:

  • The original number is 1.1001.100.
  • Moving the decimal one place to the left gives 0.11000.1100.
  • Moving the decimal another place to the left results in 0.011000.01100.

Thus, moving two places gives us 0.011000.01100, which is equivalent to 0.0110.011 when removing trailing zeros.

Step 3: We check our work against the answer choices:

  1. 0.010.01
  2. 0.110.11
  3. 0.0110.011
  4. 0.10.1

The correct solution 0.0110.011 corresponds to choice 3.

Therefore, the solution to the problem is 0.0110.011.

Answer

0.011 0.011

Exercise #19

5.2:100= 5.2:100=

Video Solution

Answer

0.052 0.052