BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon114 Learners

Last updated on March 3rd, 2025

Math Whiteboard Illustration

7/200 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts, numerator (number on the top) here, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 200. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

Professor Greenline from BrightChamps

What is 7/200 as a decimal?

7/200 as a decimal

Answer

 

7/200 in decimals can be written as 0.035. It is a terminating decimal, showing it ends after a few digits.

 

Explanation

 

To get 7/200 in decimal, we will use the division method. Here as 7 is smaller than 200, we will take help of the decimal method which will give us 0.035. Let's see the step-by-step breakdown of the process

 

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (200) will be taken as the divisor.

 

Step 2: As 7 is smaller than 200, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 7 as 70, and add a decimal point in the quotient place.

 

Step 3: Now that it is 70, we can divide it by 200. Since 70 is still smaller than 200, we add another 0 to make it 700.

 

Step 4: 700 divided by 200 is 3 with a remainder of 100. We will write 3 in the quotient place.

 

Step 5: Bring down another 0 in the dividend place to make 1000, then repeat the division process.

 

Step 6: 1000 divided by 200 is 5 with no remainder, completing the division.

 

The answer for 7/200 as a decimal will be 0.035.

Professor Greenline from BrightChamps

Important Glossaries for 7/200 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom