Let's solve each word problem step by step and estimate the answer.
---
Problem 1:
Lola needs one square foot of origami sheet to make a model. She has one-half of a square foot and one-fourth of a square foot of origami sheet. The total area of the origami sheet she has is _______.
- Lola has:
- \( \frac{1}{2} \) square foot
- \( \frac{1}{4} \) square foot
- Total area:
\[
\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \text{ square foot}
\]
- Since \( \frac{3}{4} \) is less than 1, the total area is
less than one square foot.
Answer: Less than one square foot.
---
Problem 2:
Jonah needs one square meter of wallpaper for a special design on her wall. She has four-fifths of a square meter of blue wallpaper and three-fifths of a square meter of yellow wallpaper. The area of the wallpaper she has is _______.
- Jonah has:
- \( \frac{4}{5} \) square meter (blue)
- \( \frac{3}{5} \) square meter (yellow)
- Total area:
\[
\frac{4}{5} + \frac{3}{5} = \frac{7}{5} \text{ square meters}
\]
- Since \( \frac{7}{5} = 1.4 \), which is more than 1, the total area is
more than one square meter.
Answer: More than one square meter.
---
Problem 3:
Laura baked a cookie. Kate took two-fourths of the cookie. Jane took three-sixths of the cookie. The quantity of the cookie taken by Kate and Jane is _______.
- Kate took:
- \( \frac{2}{4} \) of the cookie, which simplifies to \( \frac{1}{2} \).
- Jane took:
- \( \frac{3}{6} \) of the cookie, which simplifies to \( \frac{1}{2} \).
- Total quantity taken:
\[
\frac{1}{2} + \frac{1}{2} = 1 \text{ cookie}
\]
- Since the total is exactly 1, the quantity taken is
equal to one cookie.
Answer: Equal to one cookie.
---
Problem 4:
Fiona spent four-fifths of an hour watching television. Then she spent one-half of an hour riding the bike. The total time she spent watching the television and riding the bike is _______.
- Time spent watching TV:
- \( \frac{4}{5} \) hour
- Time spent riding the bike:
- \( \frac{1}{2} \) hour
- Total time:
\[
\frac{4}{5} + \frac{1}{2} = \frac{8}{10} + \frac{5}{10} = \frac{13}{10} \text{ hours}
\]
- Since \( \frac{13}{10} = 1.3 \), which is more than 1, the total time is
more than an hour.
Answer: More than an hour.
---
Problem 5:
Gia took seven-tenths of a meter of a yellow cloth. She stitched three-fifths of a meter of a blue cloth on one end of the yellow cloth. The total length of the cloth is _______.
- Length of yellow cloth:
- \( \frac{7}{10} \) meter
- Length of blue cloth:
- \( \frac{3}{5} \) meter, which simplifies to \( \frac{6}{10} \) meter
- Total length:
\[
\frac{7}{10} + \frac{6}{10} = \frac{13}{10} \text{ meters}
\]
- Since \( \frac{13}{10} = 1.3 \), which is more than 1, the total length is
more than one meter.
Answer: More than one meter.
---
Final Answers:
1. Less than one square foot.
2. More than one square meter.
3. Equal to one cookie.
4. More than an hour.
5. More than one meter.
\[
\boxed{
\text{1. Less than one square foot, 2. More than one square meter, 3. Equal to one cookie, 4. More than an hour, 5. More than one meter}
}
\]
Parent Tip: Review the logic above to help your child master the concept of estimation word problem worksheet.
