Evaluating numbers is necessary to know which quantity is larger and which quantity is smaller.

We all know that, a 2-digit quantity is larger than a 1-digit quantity. 

A: Comparability of 2-Digit Numbers:

evaluate two numbers to search out out which is the larger quantity.

For instance:

1. Evaluate the numbers 34 and 43.

Technique 1: Utilizing the quantity line

The quantity that comes in a while the quantity line is the larger quantity. First, evaluate the tens. Then evaluate those.

We all know from the quantity line that 43 comes after 34, so 43 > 34.

Technique 2: Utilizing place worth

The quantity with the higher digit within the larger place is the larger quantity. First, evaluate the tens. Then evaluate those.

We begin with the tens place.

Since 4 > 3 within the tens place, 43 > 34.

2. Evaluate the numbers 7 and 13.

The quantity with extra variety of digits is all the time higher and
the quantity with much less variety of digits is all the time smaller.

7 is a 1-digit quantity and 13 is a 2-digit quantity. Due to this fact,
7 < 13 or 13 > 7.

Observe:

What can we do if each the digits are similar within the tens place?

We evaluate the digits within the ones place.

3. Evaluate the numbers 35 and 38.

Utilizing place worth

Step I: First evaluate the tens place.

The tens place has the digit 3 in each the numbers.

Step II: Then evaluate those place

Those place has 5 within the quantity 35.

Those place has 8 within the quantity 38.

Since 5 < 8 within the ones place, so 35 < 38 or 38 > 35.

B. Comparability of 3-Digit Numbers:

In the identical method a 3-digit quantity is all the time higher than a 2-digit quantity.

 

The quantity with extra digits is all the time higher than the quantity with much less digits.

Solved examples for evaluating numbers:

1. Allow us to evaluate two numbers 103 and 99.

Resolution:

103 has 3-digits.

99 has 2-digits.

So, 103 is larger than 99.

2. Evaluate the quantity 125 and 87 and discover which quantity is the higher quantity.

Resolution:

1 hundred 2 tens 5 ones              =      125     =     12 tens and 5 ones

                                                                    =      8 tens and 45 ones

8 tens 7 ones                              =        87     =      8 tens and seven ones

125 = 8 tens + 45 ones                   

87 = 8 tens + 7 tens          

It’s clear 45 ones > 7 ones 

or, 125 ones > 87 ones           

or, 125 > 87

Due to this fact, the quantity which has extra digits than the opposite is larger

If the variety of digits are equal, we first evaluate the digits in tons of place. The quantity with higher digit within the tons of place is larger.

 

3. Allow us to evaluate 369 and 216.

Resolution:

Evaluating the digits within the tons of place we discover that 3 is larger than 2.

So, 369 is larger than 216 and 369 > 216.

 

4. Allow us to evaluate 468 and 438.

Resolution:

Evaluating the digits within the tons of place we discover that each numbers have similar digit.

Subsequent, we evaluate the digits in tens place. We discover that 6 > 3.

So, 468 > 438

 

5. Allow us to evaluate 822 and 829.

Resolution:

Evaluating the digits within the tons of and tens place we discover that they’re similar in each the numbers.

So, we evaluate the digits in ones place. We discover that 9 > 2.

So, 829 > 822.

6. Evaluate 238
and 148.

Resolution:

2 hundred 3 tens 8 ones 
  = 238   = 200 + 30 + 8

1 hundred 4 tens 8 ones 
  = 148   = 100 + 40 + 8

238 = 200 + 30 + 8 = 238 ones

148 = 100 + 40 + 8 =148 ones

It’s clear 238 ones > 148 ones.

Therefore, 238 > 148 and 148 < 238

Each 238 and 148 have the identical variety of digits however the
digit at tons of place in 238 has larger place worth (200) than the digit at
tons of place worth in 148 i.e., (100) or 2 > 1.

Due to this fact, 238 > 148

7. Evaluate the
following numbers:

(i) 256 and 234

Resolution:

2 tons of + 5 tens + 6 ones = 200 + 50 + 6 = 256 ones

2 tons of +3 tens + 4 ones =200 + 30 + 4 = 234 ones

256 ones > 234 ones

or, 256 > 234

Each the quantity have equal variety of tons of, however 256 has
extra tens 234

Due to this fact, 256 > 234

(ii) 182 and 186

Resolution:

1 hundred + 8 tens + 2 ones    = 100 + 80 + 2 = 182 ones                         

1 hundred + 8 tens + 6 ones = 100 + 80 + 6 = 186 ones

or, 182 < 186

Each the numbers have equal variety of tons of and equal
variety of tens. However 182 has much less ones than 186.

Due to this fact, 182 < 186

Notes for evaluating numbers:

(i) The quantity having extra hundred is larger

(ii) If the quantity has equal tons of as the opposite quantity,
however higher tens than the opposite, it’s higher.

(iii) If one quantity has equal tons of and equal tens however
extra ones than the opposite, it’s higher.

Questions and Solutions on Evaluating Numbers:

1. Evaluate the next pairs of numbers and insert > or < signal.

(i) 410 _____ 428

(ii) 362 _____ 381

(iii) 729 _____ 354

(iv) 967 _____ 816

(v) 468 _____ 567

(vi) 637 _____ 691

(vii) 815 _____ 729

(viii) 917 _____ 845

(ix) 752 _____ 672

(x) 711 _____ 237

(xi) 780 _____ 163

(xii) 896 _____ 754

Reply:

1. (i) <

(ii) <

(iii) >

(iv) >

(v) <

(vi) <

(vii) >

(viii) >

(ix) >

(x) >

(xi) >

(xii) >

2. Encircle the smallest quantity within the group.

(i) 621          852          956          347          446          896

(ii) 217          927          341          789          429          137

(iii) 329          611          328          108          925          423

(iv) 756          157          129          482          128          418

(v) 597          451          516          423          319          616

Reply:

2.(i) 347

(ii) 137

(iii) 108 

(iv) 128

(v) 319

3. Color the field which has the best quantity within the set.

Reply:

3. (i) 456

(ii) 847

(iii) 231

(iv) 481

(v) 760

(vi) 918

(vii) 217

(viii) 359

(ix) 877

4. Color the field which has the smallest quantity within the set.

Reply:

4. (i) 437

(ii) 310

(iii) 202

(iv) 237

(v) 716

(vi) 522

(vii) 862

(viii) 221

(ix) 405

5. Evaluate 65 and 55.

Which is larger?

Reply: 

65 is larger than 55

6. Evaluate 74 and 77.

Which is larger?

Reply: 

77 is larger than 74

7. In a prepare, there are 144 passengers travelling in an air
conditioned compartment and 360 passengers are travelling in a non-air
conditioned compartment. Wherein compartment extra passengers are travelling?
Insert the < or > signal to reply.

Reply:

7. 360 > 144

8. Nitheeya buys 100 stamps lower than Joe. If Joe has purchased
700 stamps. What number of stamps have been purchased by Nitheeya.

Reply:

8. 600

2nd Grade Math Observe

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