Examples with solutions for Addition: Identify the greater value

Exercise #1

Choose the correct sign:

40+1477 40+1\Box47-7

Step-by-Step Solution

To solve this problem, we need to evaluate each of the given expressions and compare the resulting values.

Step 1: Calculate 40+140 + 1.

  • 40+1=4140 + 1 = 41

Step 2: Calculate 47747 - 7.

  • 477=4047 - 7 = 40

Step 3: Compare the results from the calculations in Step 1 and Step 2.

We have 4141 from the first expression and 4040 from the second expression. Clearly, 41>4041 > 40.

Thus, when comparing 40+140 + 1 to 47747 - 7, we have:

40+1>47740 + 1 > 47 - 7

Therefore, the correct choice is > > .

Answer

>

Exercise #2

Choose the appropriate sign:

20+54520 20+5\Box45-20

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate 20+520 + 5
  • Step 2: Calculate 452045 - 20
  • Step 3: Compare the results from Step 1 and Step 2

Now, let's work through each step:

Step 1: Calculate 20+520 + 5.
20+5=2520 + 5 = 25.

Step 2: Calculate 452045 - 20.
4520=2545 - 20 = 25.

Step 3: Compare the two calculated results.
We have 2525 on both sides, which means 25=2525 = 25.

Therefore, the appropriate sign to choose is the equals sign, ==.

The solution to the problem is = = .

Answer

= =

Exercise #3

Choose the correct sign:

14+22410 14+2\Box24-10

Step-by-Step Solution

To determine the correct sign to use in the expression 14+22410 14+2\Box24-10 , we will perform the following calculations:

  • Step 1: Calculate 14+2 14 + 2 .
  • Step 2: Calculate 2410 24 - 10 .
  • Step 3: Compare the results of both calculations.

Now, let's evaluate each expression:

Step 1: 14+2=16 14 + 2 = 16 .

Step 2: 2410=14 24 - 10 = 14 .

Step 3: Compare the values 16 and 14. Clearly, 16 is greater than 14.

Therefore, the correct sign to complete the expression 14+22410 14 + 2 \Box 24 - 10 is > > .

14+2>2410 14 + 2 > 24 - 10

Therefore, the correct answer is >\textbf{>} .

Answer

>

Exercise #4

Choose the correct sign:

5+52010 5+5\Box20-10

Step-by-Step Solution

To solve this problem, we need to evaluate both sides of the expression 5+52010 5 + 5 \Box 20 - 10 to find the appropriate sign (= = , < < , > > ).

  • Step 1: Calculate the left side of the expression:
    5+5=10 5 + 5 = 10
  • Step 2: Calculate the right side of the expression:
    2010=10 20 - 10 = 10
  • Step 3: Compare the results:
    The left side equals 10 10 and the right side also equals 10 10 .
  • Step 4: Determine the correct sign:
    Since 10=10 10 = 10 , the appropriate sign to use is = = .

Thus, the correct sign that completes the expression 5+52010 5 + 5\Box20 - 10 is = = .

Answer

= =

Exercise #5

Choose the correct sign:

10+510+10 10+5\Box10+10

Step-by-Step Solution

To solve this problem, let's determine the values of each sum and compare them:

  • Step 1: Calculate the sum of 10+510 + 5.

Performing the addition, we have:

10+5=1510 + 5 = 15

  • Step 2: Calculate the sum of 10+1010 + 10.

Performing the addition, we have:

10+10=2010 + 10 = 20

  • Step 3: Compare the two sums: 1515 and 2020.

Since 1515 is less than 2020, the inequality between 1515 and 2020 is:

15<2015 < 20

Therefore, the correct sign to insert in 10+510+1010 + 5\Box10 + 10 is:

<<

Thus, the complete inequality is:

10+5<10+1010 + 5 < 10 + 10

Therefore, the solution to the given problem is =<\Box = <.

Answer

<

Exercise #6

Choose the correct sign:

982018+60 98-20\Box18+60

Step-by-Step Solution

To solve this problem, we need to determine which operator between = = , < < , or > > makes the mathematical expression 982018+60 98 - 20 \Box 18 + 60 valid. Let's perform each step carefully.

First, we'll compute both sides of the expression:

  • Calculate the left expression: 9820=78 98 - 20 = 78 .
  • Calculate the right expression: 18+60=78 18 + 60 = 78 .

Now, let's compare the results. We have 78 78 on the left and 78 78 on the right:

Since 78=78 78 = 78 , the correct operator to use is = = .

Therefore, the expression is correctly written as:

9820=18+60 98 - 20 = 18 + 60

Thus, the correct sign is = = .

Answer

= =

Exercise #7

Choose the correct sign:

34+5222+36 34+52\Box22+36

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the sum 34+52 34 + 52 .
  • Step 2: Calculate the sum 22+36 22 + 36 .
  • Step 3: Compare the two sums.

Now, let's work through each step:
Step 1: Calculate 34+52 34 + 52 :
34+52=86 34 + 52 = 86 .

Step 2: Calculate 22+36 22 + 36 :
22+36=58 22 + 36 = 58 .

Step 3: Compare the sums:
We have 86 86 (from 34+52 34 + 52 ) and 58 58 (from 22+36 22 + 36 ).
Since 86 86 is greater than 58 58 , we conclude that the correct sign is > > .

Therefore, the correct sign for 34+5222+36 34 + 52 \Box 22 + 36 is > > .

Answer

>

Exercise #8

Fill in the correct sign:

30+46330 30+4\Box63-30

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Simplify each side of the expression separately.
  • Compare the resulting values to determine the correct inequality sign.

Step 1: Simplify the left side of the expression.
Calculate 30+4 30 + 4 , which equals 34 34 .

Step 2: Simplify the right side of the expression.
Calculate 6330 63 - 30 , which gives us 33 33 .

Step 3: Compare the simplified results.
We have 34 34 on the left side and 33 33 on the right side. Clearly, 34 34 is greater than 33 33 .

Thus, the correct inequality sign to substitute for the box is > > .

Answer

>