Fraction Decimal 1/64 0156 1/32 0313 3/64 0469 1/16 0625 5/64 0781 3/32 0938 7/64 1094 1/8 1250 9/64 1406 5/32 1563 11/64 1719 3/16
Fraction to Decimal Equivalents 1/2 = 0 500 5/8 = 0 625 2/3 = 0 666 3/4 = 0 750 7/8 = 0 875 Metric Equivalents by Weight Customary Unit
To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right) For example, 0 065 = 6 5 and 3 75 = 375 To
Multiplying decimal numbers by whole numbers or decimal numbers When we multiply (times) 2 by 3, we get 6, because we think “2 lots of 3” It
DECIMALS 167 Write 3 2 4 5 8 5 , , in decimal notation Fractions as decimals We have already seen how a fraction with denominator 10 can be
3/16 = 1875 7/32 = 21875 1/4 = 25 9/32 = 28125 5/16 = 3125 11/32 = 34375 3/8 = 375 13/32 = 40625 7/16 = 4375 15/32 = 46875 1/2 = 5
1 , 2 3 4 , 5 6 7 , 8 9 0 , 1 2 3 4 5 6 7 8 9 Other than the “ones” place, the places to the right of the decimal are almost the same as the
3 = 2 ? Rational Numbers Can be expressed as a ratio of two Integers: a/b, (fractions) can be expressed as terminating or repeating decimals
Any fraction with a Denominator of 1 is equal to its Numerator: Division by zero is Undefined, 1/5, 2/5, 3/5, and 4/5 are proper fractions
Decimal Fractions and the Number Line II 1 Counting in 0 answer Difference between calculator and estimate 0,01 × 0,3 3 0,03 0,003 0,3 1,23 × 1,2 0,3 3
11/32 3438 23/64 3594 3/8 3750 25/64 3906 13/32 4063 27/64 4219 7/16 4375 29/64 45311 15/32 4688 31/64 4844 1/2 5000 Fraction Decimal
2 — 3 = 0 666 is a repeating decimal EXAMPLE: Writing a Fraction as a OPEN-ENDED Find a fraction whose decimal value is between 0 5 and 0 65
In the United States, we use the decimal or period (“ ”) to represent the difference between whole numbers 5 minus 3 is 2 the difference between 3 and 5 is 2
Year 4 Spring Term Week 9 to 11 – Number: Decimals Recognise Convert between different units of measure [for example, kilometre to metre] 2 300 400 500 600 700 800 900 10 20 30 40 50 60 70 80 90 1 2 3 4 5 6 7 8 9
To convert a percentage to a decimal, divide by 100 So 25 is 25/100, or 0 25 To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the For example, 3/4 = 0 75 = 75 , to recycle a recent example