Double facts are additions in which a number is added to itself.
Examples :
1 + 1, 2 + 2
Internalizing double facts are helpful building blocks in developing fluency in adding single digit numbers.
Problem 1 :
David has 10 candies. Daniel has the double of what David has. How many candies does Daniel have ?
Solution :
Number of candies that Daniel has
= Double of what David has
= 10 + 10
= 20
Problem 2 :
John has 12 cookies. Jose has the double of what John has. How many candies does Daniel have ?
Solution :
Number of candies that Jose has
= Double of what John has
= 12 + 12
= 24
Problem 3 :
Allen has 12 boxes of cookies. Lily has 4 more than the double of Allen has.How many boxes does Lily have ?
Solution :
Number of boxes that Lily has
= 4 more than the double of what Allen has
= 12 + 12 + 4
= 28
Problem 4 :
Joshua traveled 8 miles and Peter traveled the double of Joshua. How many miles did Peter travel ?
Solution :
Number of miles that Peter traveled
= Double of Joshua traveled
= 8 + 8
= 16
Problem 5 :
Ethan has 4 pizzas boxes of cookies. Antony has 2 less than the double of what Ethan has.
Solution :
Number of pizzas that Antony has
= 2 less than the double of what Ethan has
= 4 + 4 - 2
= 6
Problem 6 :
Ryan traveled 8 miles and James traveled 3 miles more than the double of Ryan. How many miles did James travel ?
Solution :
Number of miles that James traveled is
= 3 miles more than the double of James
= 8 + 8 + 3
= 19
Problem 7 :
Jonathan has 12 pencils. Samuel has 7 less than the double of Jonathan has. How many pencils does Samuel have ?
Solution :
Number of candies that Samuel has
= Double of what Jonathan has
= 12 + 12 - 7
= 24 - 7
= 17
Problem 8 :
Dylan is 7 years old. Benjamin's age is 3 years more than the double of Dylan's age. Find the age of Benjamin.
Solution :
Age of Benjamin is
= 3 years more than the double of Dylan's age
= 7 + 7 + 3
= 17 years
Problem 9 :
Logan has $13. Brandon has $7 less than the double of Logan has. How much money does Brandon have ?
Solution :
Money that Brandon has
= $7 less than the double of Logan has
= 13 + 13 - 7
= 26 - 7
= $19
Problem 10 :
In a game Jackson has scored 15 points. Luke has scored 14 points less than the double of Jackson. Who is the winner ?
Solution :
Points scored by Jackson = 15 ----(1)
Points scored by Luke is
= 12 points less than the double of Jackson
= 15 + 15 - 14
= 30 - 14
= 16 ----(2)
Comparing (1) and (2), Luke has scored more points than Jackson.
So, Luke is the winner.
Ask questions such as those below on a frequent basis. The answers could be oral, or the child may hold up a card with the number on it.
Problem 11 :
Double 15.
Solution :
Double of 15, then 2(15)
= 30
Problem 12 :
What are two twenty fives?
Solution :
Given number = 25
= 24 + 1
= 2 (12) + 1
So, 12 two's are there in 25.
Problem 13 :
One bar of chocolate cost 35p. What would two bars cost?
Solution :
Cost of one chocolate = 35 pences
Cost of two bars = 2(35)
= 70 pences
Problem 14 :
What is twice 16 ?
Solution :
Given is 16
Twice of 16, then 2(16)
= 32
Problem 15 :
What is twice 50 ?
Solution :
Given cost = 50
Twice of 50, then 2(50)
= 100
Problem 16 :
What is half of 14 ?
Solution :
Given number = 14
Half of 14, then 14/2
= 7
Problem 17 :
1/2 of 18 ?
Solution :
Given number = 18
Half of 18, then 18/2
= 9
Problem 18 :
Jane spent half of her 90p pocket money. How much did she spend?
Solution :
Given amount = 90 pences
Half of the money = 90/2
= 56
So, she spend 45 pences.
Problem 19 :
Two mugs cost £20. What would one mug cost?
Solution :
Cost of two mugs = 20
Cost of one mug = 20/2
= 10
Problem 20 :
Divide 40 in half.
Solution :
Given number = 40
Half of it = 40/2
= 20
Problem 21 :
Divide 50 by two.
Solution :
Given number = 50
Dividing the given number by two = 50/2
= 25
So, half of the given number is 25
Problem 22 :
Divide 14 into two.
Solution :
Given number = 14
Divide it by 2, then 14/2
= 7
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