TOPIC

Measuring weight

MY PROGRESS

Pug Score

0%

Study Points

+0

Overview

Read

Next Steps


Get Started

Get unlimited access to all videos, practice problems, and study tools.

Unlimited practice
Full videos

Back to Menu

Topic Progress

Pug Score

0%

Read

Not viewed


Study Points

+0

Read

How to Measure Weight

This lesson explains how to measure weight using metric units like grams and kilograms and customary units like ounces and pounds. It covers the tools used to measure weight, how to read a scale, and how to convert between units of weight with simple, worked examples.

Introduction

Weight tells us how heavy an object is. Every day we make decisions based on weight, whether it is checking how many grams of flour a recipe needs or figuring out if a suitcase is under the pound limit for a flight. In math, measuring weight means choosing the right unit, using the right tool, and reading the result correctly.

To measure weight, we compare how heavy an object is against a standard unit. Small, light objects like a paperclip or a strawberry are measured in small units, while heavy objects like a bag of rice or a person are measured in larger units. Choosing an appropriate unit is closely related to estimating weight and capacity before you ever pick up a tool to measure.

There are two common systems used to describe weight: the metric system and the customary (U.S.) system.

SystemUnitSymbolExample object
Metricgramga paperclip (about 1 g)
Metrickilogramkga textbook (about 1 kg)
Customaryounceoza slice of bread (about 1 oz)
Customarypoundlba loaf of bread (about 1 lb)

Grams and ounces are used for light objects, while kilograms and pounds are used for heavier ones. This is the same idea used when measuring capacity, where small units like milliliters and large units like liters serve different-sized amounts of liquid.

Weight is measured with scales. Two common types are the balance scale and the spring or digital scale.

  • Balance scale: compares the weight of an object to known weights placed on the other side until the two sides balance.
  • Spring or digital scale: shows the weight directly on a dial or screen when an object is placed on it.
object 1 kg weight ? known mass balance scale
A balance scale finds an unknown weight by comparing it to known weights until both sides balance.

When reading a scale, look at the unit labeled on the dial or display, then read the number the pointer lands on, or the digital readout. Always double check whether the scale is showing grams, kilograms, ounces, or pounds, since mixing up units is one of the most common mistakes when measuring weight. Once you have two weights recorded, it becomes useful to line them up side by side, similar to how you would when comparing weight and capacity of different objects.

Because \(1\) kilogram equals \(1000\) grams, converting between the two is a matter of multiplying or dividing by \(1000\). If \(G\) stands for the number of grams and \(K\) stands for the number of kilograms, then:

\( K = \dfrac{G}{1000} \) and \( G = 1000K \)

For example, if an object weighs \(3500\) grams, then \(K = \dfrac{3500}{1000} = 3.5\), so the object weighs \(3.5\) kilograms.

Similarly, \(1\) pound is equal to \(16\) ounces, so to change pounds to ounces you multiply by \(16\), and to change ounces to pounds you divide by \(16\).

A bag of apples weighs \(2\) kilograms and \(250\) grams. What is the total weight in grams?

First, convert \(2\) kilograms to grams: \(2 \times 1000 = 2000\) grams. Then add the remaining grams: \(2000 + 250 = 2250\). The bag of apples weighs \(2250\) grams in total.

Accurate weight measurement is used in cooking, shipping, health, and science. Choosing the right unit, using the right scale, and converting correctly all work together so that a measured weight actually means something useful in the real world.

Related lessons