Math word problems that feature decimals are an important part of 5th grade math. Students will face more complex math concepts as they transition into middle school, so they must have a strong foundation and be able to solve decimal problems with confidence.
Consider all the ways in which decimals play an important part in everyday life when crafting math word problems, such as budgeting, doing cost comparisons, cooking and more.
The following math word problems are designed to challenge your child to think outside the box with decimals by using simple concepts they can understand.
Despite their everyday context, these math word problems are challenging enough to keep your kids engaged while finding the answers.
1. Zeroing in on the Zeros
Some decimals include the zero before the point; others don’t. Some might add extra zeros at the end—5.24000 being the same as 5.24.
Fifth graders should be ready for all these instances, as addressed in math word problems like this one:
Michael, Ben, and Kelly are chewing bubble gum. Michael blows a bubble that is 1.340 inches in diameter. Ben’s bubble is .87 inches in diameter. Kelly has a tough time with her bubble, which is only 0.09 inches wide. What is the total diameter of the three bubbles?
To get the answer, add 1.34+0.87+0.09 to get 2.3.
2. Fractions and Decimals
Decimals are simply fractions without obvious numerators or denominators, and fractions are simply decimals that don’t necessarily use base 10.
Here’s a 5th grade math word problem that combines the two:
A barbell that weighs 45.25 pounds is holding 2 plates that weigh 2.2 pounds each and 4 plates that weigh 7½ pounds each. How much weight will Connor be lifting?
To find the answer, students must realize that 7½ is the same as 7.5. Add 45.25, plus (2.2 x 2), plus (7.5 x 4) to get 79.65 pounds.
3. Sales Tax
Kids eager to use a $20 bill to buy something costing $19.95 often forget about sales tax. Math word problems using sales tax will help them remember:
Allison has $5 and wants to buy a pack of Pokemon cards that cost $4.49. The sales tax is 7 percent; will she have enough money to buy the cards?
To get the answer, students will need to multiply $4.49 by 0.07 and then add the result to $4.49. The rounded answer is $4.80, so yes, Allison can buy the cards.
4. Multiplication, then Subtraction
Here’s another example of multiple operations involving decimals combined into one math word problem.
Assume that your town has no sales tax on food …
Organic cantaloupes cost $3.99 per melon, and non-organic cantaloupes cost $2.45 each. If you bought five organic melons, how much more would they cost than five regular ones?
To find the answer, the first thing you must do is multiply $3.99 by 5 to get $19.95. Then, compute that five non-organic cantaloupes will cost $12.45. From there simply subtract the lower number from the higher to get the answer of $7.70.
Do your kids struggle with decimals or other math word problems?
Consider enrolling them in an online tutoring program to help them master math problems that once caused them to struggle.