# What does kilo mean in math

### Convert units of mass (weight)

Imagine you're cooking pasta with tomato sauce. The noodles are usually available in a 500 gram package. Some say that they bought half a kilo of pasta. What now? The units for weights are related. 500 g is the same as 0.5 kg. This is how it looks with the units for the mass:

1 t \$\$ = \$\$ 1000 kg
1 kg \$\$ = \$\$ 1000 g
1 g \$\$ = \$\$ 1000 mg

Strictly speaking, this means mass and not weight. You can say both. Just ask your teacher to be on the safe side.

These units still exist, but they are not used that often:

1 pound = 500 g
1 quintals = 50 kg

There are two ways to convert units of mass:

Option 1: With a place value board
Option 2: With conversion number

There is still a little problem:
If you haven't heard as much about these decimal numbers as 0.5, don't be surprised. All of this is yet to come. But you can still do the conversion well!

Kilo means 1000, so one kilogram is 1000 grams.
Milli means thousandths.

### The place value table

A value table is the best way to help you with conversions. For masses, the place value table looks like this: 10 kg and 100 kg are usually abbreviated with Z (tens) and H (hundreds). E stands for one. #### example You can read the numbers in 3 different ways:

• 12500 g
• mixed notation: 12 kg 500 g
• with comma: 12.5 kg (12.500 kg is not wrong, but you can leave out these 2 zeros.)

### Possibility 1: Convert with a place value table

Example 1: Convert 5 kg to g.

Enter 5 for the units of kg. Fill in zeros up to the ones of g. Read from: 5 kg \$\$ = \$\$ 5000 g.
Finished!

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### The other way around

#### Example 2: Convert 80,000 kg to t.

Enter the 80,000 kg. Start from the right with the units of kg. Delete zeros until you get to t. Read from: 80,000 kg \$\$ = \$\$ 80 t
Finished!

Caution: You can only cross out zeros, no other digits!

Memorize the place value table for units of mass. Enter the given number. Start from the right with the units of the unit. Add zeros or delete them to the unit you are looking for.

### Option 2: With conversion number

For this option you should note the conversion figures between the units: Here are the 2 examples, calculated with the conversion number.

Example 1: Convert 5 kg to g.

1. Determine whether the unit you are looking for is the larger or the smaller unit.

One g is smaller (lighter) than one kg ..

2. Determine whether to multiply or divide by the conversion number.

Bigger ones in smaller units: numerical value becomes greater,
so multiply
Smaller ones in larger units: numerical value becomes smaller,
so divide

The unit you are looking for is smaller, so multiply.

3. Find the conversion number.

1 kg = 1000 g, so 1000

4. Calculate.

5 \$\$*\$\$ 1000 = 5000
So 5 kg = 5000 g
##### For the fast:

The conversion number is 1000. That means: append 3 zeros. So 5 kg = 5000 g

You multiply or divide by 10's numbers (10, 100, 1000) by adding or removing zeros.

Example 2: Convert 80,000 kg to t.

1. Determine whether the unit you are looking for is the larger or the smaller unit.

One t is larger (heavier) than one kg.

2. Determine whether you are multiplying or dividing by the conversion number.

Bigger ones in smaller units: numerical value becomes greater,
so multiply
Smaller ones in larger units: numerical value becomes smaller,
so divide

The unit you are looking for is larger, so divide.

3. Find the conversion number.

1 t \$\$ = \$\$ 1000 kg, i.e. 1000.

4. Calculate.

80 000 \$\$: \$\$ 1000 \$\$ = \$\$ 80, i.e.
80,000 kg \$\$ = \$\$ 80 t.

##### For the fast:
The conversion number is 1000. That means: 3 zeros are deleted.
So 80,000 kg \$\$ = \$\$ 80 t.

You multiply or divide by 10's numbers (10, 100, 1000) by adding or removing zeros.

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### With a comma

For some conversions, you need a few more tricks. The comma notation is used for this.

Example 1: Convert 4 kg to tons.

Enter the 4 for the ones of kg. Put in front of the 4 zeros, up to the ones of t. You put a comma after the zero at t, because you have to convert to t. Read from: 4 kg \$\$ = \$\$ 0.004 t.

If you can't cross out enough zeros while converting, fill in zeros and put a comma. The comma comes after the units in the units.

Numbers with a comma are called decimal fractions or decimal numbers.

### Again with a comma

Example 2: Convert 12.3 kg to g.

Carry in 12.3 kg. The 2 comes to the ones of kg. Pad zeros to the ones of g. Remove the comma. Reads from: 12.3 kg \$\$ = \$\$ 12300 g.

Example 3: Convert 24.5 kg to t.

Enter 24.5 kg. The 4 comes to the ones of kg. Pad zeros to the ones of t. The one of t is followed by a comma. Read from: 24.5 kg = 0.0245 t.