Gram

Definitionnoun

What is a gram in math?

A gram is a metric unit of mass, about the mass of a paper clip. Its symbol is g. There are 1,000 grams in a kilogram and 1,000 milligrams in a gram. Grams measure light things, such as food portions, coins and letters; heavier things are measured in kilograms.

In Spanish
gramo
Also called
g, gramme
Grade level
K-5
Grade 3Grade 4Grade 5CCSS 3.MD.A.2CCSS 4.MD.A.1GEDTABEASVABTEAS

Gram in a picture

Grams compared with milligrams and kilogramsThree cards: 1 milligram = 0.001 gram, 1 gram, and 1 kilogram = 1,000 grams, joined by times 1,000 arrows. Below, a balance with a 1 kilogram weight on one pan and weights totaling 1,000 grams on the other, level. A paper clip has a mass of about 1 gram.Metric units of massmilligram1 mg0.001 ggram1 gbase for prefixeskilogram1 kg1,000 g× 1,000× 1,0001,000 mg = 1 g · 1,000 g = 1 kg1 kg1,000 gBalanced: 1 kilogram = 1,000 gramsA paper clip has a mass of about 1 gram.
Each step up the metric mass ladder is 1,000 times bigger: milligram, gram, kilogram.

Formal definition and notation

The gram is the metric unit of mass equal to 11,000 of a kilogram, the SI base unit: 1 g = 10−3 kg. Metric prefixes attach to the gram: 1 mg = 10−3 g and 1 kg = 103 g.

Symbol Read it as Meaning
g grams the symbol, with no period and no s: 250 g
mg milligrams thousandths of a gram, used for medicine doses
kg kilograms thousands of grams

Key facts

  • 1 kilogram = 1,000 grams, and 1 gram = 1,000 milligrams.
  • A paper clip is about 1 gram, and a liter of water is about 1,000 grams.
  • Metric prefixes are added to the word gram: milligram, centigram, kilogram.
  • One ounce is about 28.35 grams.
  • Grams measure mass, the amount of matter; in everyday talk people often call it weight.

Gram conversions

Gram conversions
grams = kilograms × 1,000
÷ 1,000
grams to kilograms: move the decimal point 3 places left
× 1,000
grams to milligrams: move the decimal point 3 places right

Smaller unit, bigger number: 2.5 kg is 2,500 g. Bigger unit, smaller number: 750 g is 0.75 kg.

Try it: convert units of mass

Interactive

Type a mass and choose the units. Start with 2.5 kilograms to grams, then try grams to milligrams.

This interactive needs JavaScript. The worked examples below show the same ideas step by step.

Gram examples, step by step

Example 1: Kilograms to grams

Warm-up

A bag of rice has a mass of 3.2 kg. What is its mass in grams?

  1. Grams are smaller, so multiply by 1,000.
  2. 3.2 × 1,000 = 3,200.

Answer: The rice has a mass of 3,200 grams.

Example 2: Add mixed units

Core

A recipe uses 750 g of flour and 1.4 kg of potatoes. What is the total mass in kilograms?

  1. Convert to one unit: 750 g = 750 ÷ 1,000 = 0.75 kg.
  2. Add: 0.75 + 1.4 = 2.15.

Answer: The total is 2.15 kilograms.

Example 3: Better buy by mass

Test-style

A 500 g box of cereal costs 4 dollars. A 1.2 kg box costs 9 dollars. Which box costs less per kilogram?

  1. Small box: 500 g = 0.5 kg, so 4 ÷ 0.5 = 8 dollars per kg.
  2. Large box: 9 ÷ 1.2 = 7.5 dollars per kg.
  3. Compare: 7.50 dollars is less than 8 dollars.

Answer: The 1.2 kg box is the better buy, at 7.50 dollars per kilogram versus 8 dollars.

Common mistakes

✗ MistakeChanging 4,500 g to kilograms: 4,500 × 1,000 = 4,500,000 kg.
✓ InsteadDivide: 4,500 ÷ 1,000 = 4.5 kg.

Kilograms are bigger than grams, so the number of kilograms is smaller.

✗ MistakeChanging 3 kg to grams with 100: 3 × 100 = 300 g.
✓ Instead3 × 1,000 = 3,000 g.

Kilo means 1,000. The factor 100 belongs to centi- (centimeters in a meter).

✗ MistakeAdding 750 g + 1.4 kg = 751.4.
✓ InsteadConvert first: 0.75 kg + 1.4 kg = 2.15 kg (or 750 g + 1,400 g = 2,150 g).

Only measurements in the same unit can be added.

Not to be confused with

Gramvs.Kilogram

A kilogram is 1,000 grams, about the mass of a liter of water. Grams suit light objects; kilograms suit heavy ones.

Gramvs.Ounce

An ounce is a US customary unit of weight, about 28.35 grams. A gram is much smaller than an ounce.

Quick check: 3 questions

Question 1 of 3

How many kilograms are 4,500 grams?

Show answer and explanation

Answer: B. 4,500 ÷ 1,000 = 4.5. A divides by 100, C by 10, and D by 10,000.

Question 2 of 3

Which object has a mass of about 1 gram?

Show answer and explanation

Answer: A. A paper clip is about 1 gram. A bicycle, a textbook and a watermelon are all measured in kilograms.

Question 3 of 3

How many milligrams are in 2 grams?

Show answer and explanation

Answer: D. 2 × 1,000 = 2,000. A and B use 10 and 100 instead of 1,000, and C divides instead of multiplying.

Gram: frequently asked questions

How many grams are in a kilogram?

There are 1,000 grams in 1 kilogram, because the prefix kilo means 1,000. To change kilograms to grams, multiply by 1,000: 2.5 kg is 2,500 g. To change grams to kilograms, divide by 1,000: 640 g is 0.64 kg. Moving the decimal point three places does the same job.

Is a gram a unit of mass or weight?

Mass. A gram measures how much matter an object has, and that does not change if you take the object to the Moon. Weight is the pull of gravity on that mass, which does change. In everyday life people say weight when they mean mass, so a food label listing 250 g is giving the mass.

Practice and tools

Sources

  1. Common Core State Standards, Grade 3 Measurement and Data (3.MD.A.2)
  2. NIST, SI Units: Mass
  3. NIST, Metric (SI) Prefixes
  4. NIST, Approximate Conversions from U.S. Customary Measures to Metric (1 oz is about 28.35 g)

Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 3.MD.A.2, CCSS 4.MD.A.1

Cite this entry

Effortless Math Team. “Gram.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/gram/

Flashcard

TermGramg · about one paper clip
DefinitionA metric unit of mass; 1,000 grams make 1 kilogram. A 3.2 kg bag of rice is 3,200 grams.
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