5th Grade - Long Division And Division With Decimals

 
     
 
     
 
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5th
Numbers - Small, Large and Prime
Long Division and Division with Decimals
Demonstrate proficiency with division, including division with positive decimals and long division with multidigit divisors.
Continue to practice division skills by adding longer divisors and/or decimals to the dividend and divisor
 

Sample Problems

(1)

545÷5 (109)

(2)

.69 ÷3 (.23)

(3)

4291 ÷7 (613)

(4)

888 ÷11 (80.72)

(5)

.289 ÷.34 (.85)

Learning Tips

(1)

Always talk with your child’s teacher to learn how she/he is teaching the division algorithm. Some countries, such as Mexico, teach the process differently, and when parents try to assist their children but use a different procedure, the child is often confused.

(2)

At the top of your child’s paper, have them write dividend/divisor=quotient. It helps solidify the vocabulary names of each part of a division problem, which will be helpful for any word problems they will have to do.

(3)

The key to division is multiplication. If your child does not know the multiplication table inside out and backwards by 5th grade, they need to!

(4)

Long division is just that – long. It’s okay for children to use lots of space on their paper just doing one problem. Many kids don’t like how much room one problem takes up because they connect it with the idea that their homework is going to take “forever.” If your child is making similar comments, have them write on a dry erase board, and then erase each problem when it’s over.

(5)

Estimation is the key to solving long division problems with larger numbers. If the problem is 834/12, your child needs to be able to round the twelve to a ten and the 834 to 800. He should be thinking, “Ten goes into 800 80 times so that’s where I’m going to start in my calculations.”

Extra Help Problems

(1)

200 / 59 (3r23)

(2)

136/75 (1r61)

(3)

73/63 (1r10)

(4)

147/61 (2 r25)

(5)

219/59 (3r42)

(6)

234/68 (3r30)

(7)

257/72 (3r41)

(8)

60/27 (2r6)

(9)

150/90 (1r60)

(10)

48/17 (2r14)

(11)

104/35 (2r34)

(12)

57/23 (2r11)

(13)

77/35 (2r7)

(14)

216/67 (3 r15)

(15)

237/51 (4r33)

(16)

5476/79 (69r25)

(17)

7543/31 (243r10)

(18)

1298/62 (20r58)

(19)

5731/57 (100r31)

(20)

3208/78 (41r10)

(21)

6.86/4 (1.715)

(22)

8.2/8 (1.025)

(23)

3.79/9 (.421111111)

(24)

6.57/2 (3.285)

(25)

9.01/2 (4.505)

 

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