4th Maths : Term 1 Unit 3 : Patterns
Exercise 3.2 (Patterns in numbers)
Text Book Back Exercises Questions with Answers and Detailed Solutions
1. Identify Multiples of 9
Circle/underline the multiples of 9 (by using casting out nine).
a) 9443
b) 1008
c) 24689
d) 23769
e) 13476
Detailed Solution for Question 1
a) 9443
9443
\( 4+4+3 = 11 \)
\( 1+1 = 2 \)
\( 2 \neq 9 \)
Not multiple of 9
9443
\( 4+4+3 = 11 \)
\( 1+1 = 2 \)
\( 2 \neq 9 \)
Not multiple of 9
b) 1008
\( 1+8 = 9 \)
Multiple of 9
\( 1+8 = 9 \)
Multiple of 9
c) 24689
24689
\( 2+4+6+8 = 20 \)
\( 2+0 = 2 \)
\( 2 \neq 9 \)
Not multiple of 9
24689
\( 2+4+6+8 = 20 \)
\( 2+0 = 2 \)
\( 2 \neq 9 \)
Not multiple of 9
d) 23769
23769
It is multiple of 9
23769
It is multiple of 9
e) 13476
13476
\( 1+4+7 = 12 \)
\( 1+2 = 3 \)
\( 3 \neq 9 \)
It is not multiple of 9
13476
\( 1+4+7 = 12 \)
\( 1+2 = 3 \)
\( 3 \neq 9 \)
It is not multiple of 9
2. Check Addition Facts
Circle the correct addition fact (by using casting out nine method).
a) \( 4355 + 5369 = 9724 \)
b) \( 7632 + 2213 = 9845 \)
c) \( 6023 + 3203 = 9220 \)
d) \( 2436 + 5315 = 7701 \)
Detailed Solution for Question 2
a) 4355 + 5369 = 9724
4355 + 5369 = 9724
\( 3+5+5 = 4 \)
\( 13 = 4 \)
\( 1+3 = 4 \)
\( 4 = 4 \)
It is correct addition fact.
4355 + 5369 = 9724
\( 3+5+5 = 4 \)
\( 13 = 4 \)
\( 1+3 = 4 \)
\( 4 = 4 \)
It is correct addition fact.
b) 7632 + 2213 = 9845
7632 + 2213 = 9845
\( 2+2+1+3 = 8 \)
\( 8 = 8 \)
It is correct addition fact.
7632 + 2213 = 9845
\( 2+2+1+3 = 8 \)
\( 8 = 8 \)
It is correct addition fact.
c) 6023 + 3203 = 9220
6023 + 3203 = 9220
\( 2+3+2+3 = 2+2 \)
\( 2+8 = 4 \)
\( 10 = 4 \)
\( 1 \neq 4 \)
It is not correct addition fact.
6023 + 3203 = 9220
\( 2+3+2+3 = 2+2 \)
\( 2+8 = 4 \)
\( 10 = 4 \)
\( 1 \neq 4 \)
It is not correct addition fact.
d) 2436 + 5315 = 7701
2436 + 5315 = 7701
\( 2+4 + 5+3+1+5 = 7+7+1 \)
\( 6+14 = 15 \)
\( 20 = 15 \)
\( 2 \neq 6 \)
It is not correct addition fact.
2436 + 5315 = 7701
\( 2+4 + 5+3+1+5 = 7+7+1 \)
\( 6+14 = 15 \)
\( 20 = 15 \)
\( 2 \neq 6 \)
It is not correct addition fact.
3. Check Subtraction Facts
Circle the correct subtraction fact (by using casting out nine methods).
a) \( 7420 - 3625 = 3795 \)
b) \( 2362 - 632 = 1720 \)
c) \( 6732 - 4361 = 2371 \)
d) \( 3264 - 1063 = 2200 \)
Detailed Solution for Question 3
a) 7420 − 3625 = 3795
7420 − 3625 = 3795
\( 7+4+2 - 7 = 3+7+5 \)
\( 13 - 7 = 15 \)
\( 6 = 6 \)
It is correct subtraction fact.
7420 − 3625 = 3795
\( 7+4+2 - 7 = 3+7+5 \)
\( 13 - 7 = 15 \)
\( 6 = 6 \)
It is correct subtraction fact.
b) 2362 − 632 = 1720
2362 − 632 = 1720
\( 4 - 2 = 1 \)
\( 2 = 1 \)
\( 2 \neq 1 \)
It is not correct subtraction fact.
2362 − 632 = 1720
\( 4 - 2 = 1 \)
\( 2 = 1 \)
\( 2 \neq 1 \)
It is not correct subtraction fact.
c) 6732 − 4361 = 2371
6732 − 4361 = 2371
\( 6+3 - 4+1 = 3+1 \)
\( 9 - 5 = 4 \)
\( 4 = 4 \)
It is correct subtraction fact.
6732 − 4361 = 2371
\( 6+3 - 4+1 = 3+1 \)
\( 9 - 5 = 4 \)
\( 4 = 4 \)
It is correct subtraction fact.
d) 3264 − 1063 = 2200
3264 − 1063 = 2200
\( 2+4 - 1 = 2+2 \)
\( 6 - 1 = 4 \)
\( 5 \neq 4 \)
It is not correct subtraction fact.
3264 − 1063 = 2200
\( 2+4 - 1 = 2+2 \)
\( 6 - 1 = 4 \)
\( 5 \neq 4 \)
It is not correct subtraction fact.
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