Grade 1 Math Adding Doubles

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Adding Doubles


What is adding doubles?

When two addends are same, then the adding process is called adding doubles.

Example:

1 + 1 = 2.

Here, two addends are 1 and 1. They are same.


Adding Doubles Table:


Adding doubles with Zero:

When two addends are 0, then the sum is 0 also.

0 + 0 = 0.


Adding doubles by multiplication:

First look at the following table:

Adding Doubles
Multiplying by 2
0 + 0 = 0.
0 × 2 = 0.
1 + 1 = 2.
1 × 2 = 2.
2 + 2 = 4.
2 × 2 = 4.
5 + 5 = 10.
5 × 2 = 10.
10 + 10 = 20.
10 × 2 = 10.

So, the tables rule follow: a + a = 2 × a

or, adding doubles = 2 × addend.


Using double fact for addition:

when two addends are added, then break down the big addend with two numbers where one number will be the same as the small addend. As of now, there have two same numbers, so we can use adding doubles rules.

Example:

8 + 7 = ?

Here,

8 + 7

= (1 + 7) + 7 [break down of 8 = 1 + 7]

= 1 + 7 + 7

= 1 + (7 + 7) [use adding double 7 + 7 = 14]

= 1 + 14

= 15

So,  8 + 7 = 15.


1. Find the sun of 3 and double of 3.

Answer:

double of 3 = 3 × 2 = 6.

So, 3 + 6 = 9.

That means, the sum of 3 and doubles = 3 + 3 × 2 = 3 + 6 = 9.


2. Find the correct answer?

3 + double of 4 = ?

(a) 10

(b) 11

(c) 12

(d) 8

Answer: b

[3 + double of 4 = 3 + 4 × 2 = 3 + 8 = 11]


3. Use the doubles fact for addition.

(a) 9 + 8

(b) 10 + 9

(c) 12 + 9

(d) 6 + 7

Solution:

(a)

9 + 8

= 1 + 8 + 8   [break down, 1+8 = 9]

= 1 + 16  [adding doubles, 8+8 = 16]

= 17

(b)

10 + 9

= 1 + 9 + 9  [break down,10 = 1 + 9]

= 1 + 18. [double fact, 9 + 9 =18]

= 19

(c)

12 + 9

= 3 + 9 + 9  [break down, 12 = 3 + 9]

= 3 + 18  [adding doubles, 9 + 9 =18]

= 21

(d)

6 + 7

= 6 + 6 + 1  [break down, 7 = 6 + 1]

= 12 + 1 [adding doubles, 6 + 6 = 12]

= 13


4. Fill in the blanks.

(a) 8 + 8 = _____.

(b) 8 + 9 = _____.

(c) 5 + 4 = _____.

Answer:

(a) 8 + 8 = 16 [using double fact]

(b) 8 + 9 = 47 [using double fact]

(c) 5 + 4 = 9 [using double fact]

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