12. Which value in each pair is greater?
To find out switch pair is greater you will need a method.
First you will need to divide the numerator and demoninator but without using a calulator. so for example. the image below shows 1 third over 3 thirds. So I divided it. 3 divided by 0.10. How I got 0.10 is that 3 does not go into one so we added a zero. So how many times can 3 go into 10. ? it would be 3 times. Next you subtract 0.10 by 0.9 because 3 times 3 is 9. You are left with o.oo10 then you contiue again. If you continued you will notice that you've been mulitplying and subtracting the same numbers over and over again. This would mean it is a repreating decimal.
First you will need to divide the numerator and demoninator but without using a calulator. so for example. the image below shows 1 third over 3 thirds. So I divided it. 3 divided by 0.10. How I got 0.10 is that 3 does not go into one so we added a zero. So how many times can 3 go into 10. ? it would be 3 times. Next you subtract 0.10 by 0.9 because 3 times 3 is 9. You are left with o.oo10 then you contiue again. If you continued you will notice that you've been mulitplying and subtracting the same numbers over and over again. This would mean it is a repreating decimal.
a) 1/3 is greater. Most people would say -2/3 but having that negative there changes the whole number. yes 0.66 repeating is greater but there is a negative sign infront so 0.33 repeating is greater because is it a positive.
b) 7/10 is greater because there is another negative sign infront of 0.9
c)-1/2 is greater because decimal numbers that a closes to zero are greater when they have a negative sign infront.
d)-2 1/8 is greater because for 2.125 you ignore the five, so you will see it as -2.12
so which is greater -0.12 or -0.25? It would be -0.12 because it is closer to zero.
so which is greater -0.12 or -0.25? It would be -0.12 because it is closer to zero.
13. which value in each pair is smaller?
a)4/7 is smaller. that is becasue rounded to the nearest tenths would be 0.60 and rounding 2/3 would be 0.67. So thats how you can tell which is smaller by rounding.
b)-5/3 is smaller because it is a negatavie number and it is more father away from zero in decimal form.
c) -7/10 is smaller because in decimal form it is further away from zero.
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