Additional Arithmetic Rules: Exercises with 2 terms

Examples with solutions for Additional Arithmetic Rules: Exercises with 2 terms

Exercise #1

15:(2×5)= 15:(2\times5)= ?

Video Solution

Step-by-Step Solution

First we need to apply the following formula:

a:(b×c)=a:b:c a:(b\times c)=a:b:c

Therefore, we get:

15:2:5= 15:2:5=

Now, let's rewrite the exercise as a fraction:

1525= \frac{\frac{15}{2}}{5}=

Then we'll convert it to a multiplication of two fractions:

152×15= \frac{15}{2}\times\frac{1}{5}=

Finally, we multiply numerator by numerator and denominator by denominator, leaving us with:

1510=1510=112 \frac{15}{10}=1\frac{5}{10}=1\frac{1}{2}

Answer

112 1\frac{1}{2}

Exercise #2

21:(30:10)= 21:(30:10)=

Video Solution

Step-by-Step Solution

We will use the formula:

a:(b:c)=a:b×c a:(b:c)=a:b\times c

Therefore, we will get:

21:30×10= 21:30\times10=

Let's write the division exercise as a fraction:

2130=710 \frac{21}{30}=\frac{7}{10}

Now let's multiply by 10:

710×101= \frac{7}{10}\times\frac{10}{1}=

We'll reduce the 10 and get:

71=7 \frac{7}{1}=7

Answer

7 7

Exercise #3

100(5+55)= 100-(5+55)=

Video Solution

Answer

40

Exercise #4

10:(10:5)= 10:(10:5)=

Video Solution

Answer

5 5

Exercise #5

18:(6×3)= 18:(6\times3)=

Video Solution

Answer

1

Exercise #6

19(5+11)= 19-(5+11)=

Video Solution

Answer

3

Exercise #7

2(1+1)= 2-(1+1)=

Video Solution

Answer

0

Exercise #8

21(613)= 21-(6-13)=

Video Solution

Answer

28

Exercise #9

26(112)= 26-(11-2)=

Video Solution

Answer

17

Exercise #10

300:(5×6)= 300:(5\times6)=

Video Solution

Answer

10

Exercise #11

500:(2000:25)= 500:(2000:25)=

Video Solution

Answer

614 6\frac{1}{4}

Exercise #12

66:(360:60)= 66:(360:60)=

Video Solution

Answer

11

Exercise #13

70:(14×5)= 70:(14\times5)=

Video Solution

Answer

1

Exercise #14

87(7+0)= 87-(7+0)=

Video Solution

Answer

80

Exercise #15

99:(33:10)= 99:(33:10)=

Video Solution

Answer

30

Exercise #16

10014:(14×5)= 100\frac{1}{4}:(\frac{1}{4}\times5)=

Video Solution

Answer

8015 80\frac{1}{5}

Exercise #17

10:(5×12)= 10:(5\times\frac{1}{2})=

Video Solution

Answer

4

Exercise #18

10(42+32)= 10-(\frac{4}{2}+\frac{3}{2})=

Video Solution

Answer

612 6\frac{1}{2}

Exercise #19

112:(0.5:0.25)2= 112:(0.5:0.25)^2=

Video Solution

Answer

28

Exercise #20

15:(15:12)= 15:(15:\frac{1}{2})=

Video Solution

Answer

12 \frac{1}{2}