Comparing Rational Numbers

Comparing Rational Numbers

Hungry Hungry Pac-Man!

• Mouth of Pac-Man always faces greater amount

• Remember if comparing two negative numbers, the lower looking number is actually the greater amount!

• Positive numbers are always greater than negative numbers

Comparing fractions with the same bottom number

• These fractions do not need to be changed

• Just compare the top numbers and decide which one is greater!

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Multiple Choice

Which is the greater fraction 3/4 or 2/4?

• 3/4

• 2/4

Multiple Choice

Which fraction is less 23/100 or 34/100?

• 34/100

• 23/100

Multiple Choice

Which fraction is greater -5/8 or 12/8?

• -5/8

• 12/8

Multiple Choice

Which fraction is less -7/10 or -4/10?

• -7/10

• -4/10

Comparing fractions with different bottom numbers

• Find common denominator (bottom number) - Easiest way to do this is to multiply the two bottom numbers together. This will be your new bottom number!

• Multiply the top numbers by the same number that you multiplied your bottom number by.

• Compare!

Multiple Choice

Which is the greater fraction -2/3 or 3/4?

• -2/3

• 3/4

Multiple Choice

Which is less, 2/4 or 2/6?

• 2/4

• 2/6

Multiple Choice

Which is greater, -1/3 or -4/5?

• -4/5

• -1/3

Multiple Choice

Which is less, 5/9 or 2/6?

• 2/6

• 5/9

Comparing decimals and fractions

• Change decimal to fraction and then compare

• OR change fraction to decimal and then compare (I personally think this is easier)

Multiple Choice

Which is greater, 6/3 or 2.9?

• 6/3

• 2.9

Multiple Choice

Which is less, -3.4 or 1/2?

• 1/2

• -3.4

Multiple Choice

Which is greater, -4/7 or -0.2?

• -0.2

• -4/7

Multiple Choice

Which is less, 2.53 or 5/2?

• 2.53

• 5/2