Units of length, weight and money
Units of length, weight and money
A measure is a number and a unit: 4 m, 400 cm, 2.5 kg. A length of 4 m and a length of 400 cm are the same length – the numbers differ because the units differ.
- Length: 1 cm = 10 mm; 1 m = 100 cm = 1000 mm; 1 km = 1000 m.
- Weight: 1 kg = 1000 g; 1 ton = 1000 kg.
- Money: 1 ₪ = 100 agorot.
The room is 400 cm long, or 4 m. A metre is 100 times bigger than a centimetre, so the number of metres is 100 times smaller than the number of centimetres. The bigger the unit, the smaller the number:
- to a smaller unit – multiply: 4 m cm;
- to a bigger unit – divide: 400 cm m.
Decimals are multiplied and divided by 10, 100 and 1000 too:
- 2.5 m cm;
- 750 g kg;
- 3 m and 7 cm: 7 cm are m, so together 3.07 m;
- 1 ₪ and 5 agorot are 1.05 ₪.
Write each measure in the unit beside it.
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power
Write in cm: one metre and 5 mm.
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power
Which segment is longer: a segment of 47 cm or a segment of 0.5 m?
Explain.
A truck carries 2.4 tons of sand in sacks of 40 kg.
How many sacks are on the truck?
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power
/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power