﻿ Estimating Numbers Worksheet | Problems & Solutions

# Estimating Numbers Worksheet

Estimating Numbers Worksheet
• Page 1
1.
A pair of jeans is on sale for $22. The original price was$47. Which is the best estimate of the discount?
 a. $\frac{1}{3}$ b. $\frac{1}{5}$ c. $\frac{1}{4}$ d. $\frac{1}{2}$

2.
Estimate the sum of 663 and 353, using front-end estimation.
 a. 1010 b. 900 c. 955 d. 1020

#### Solution:

In number 663, 63 is close to 65 and in number 353, 53 is close to 55 and we know 65 + 55 = 120

663 + 353 is about 665 + 355

= 600 + 65 + 300 + 55

= 1020

3.
Estimate the sum of 1384 and 363.
 a. 1750 b. 1600 c. 1700 d. 1685

#### Solution:

84 in number 1384 is rounded to 85 and 63 in number 363 is rounded to 65 and these two can add up to 150.
[85 + 65 = 150.]

1384 + 363 is about 1385 + 365

= 1300 + 85 + 300 + 65

= 1750

4.
Jacques has saved $635. If he wants to save$1,000, estimate how much more he still has to save.
 a. $300 b.$400 c. $1,635 d.$65

#### Solution:

Jacque wants to save $1,000. He saved$635 $600. So, the more money still he has to save =$1,000 - $600 =$400.

5.
Lehman puts oranges in cartons in his shop. He puts 43 to 49 oranges in each carton. Which could be the total number of oranges he puts in 10 cartons?
 a. Between 400 and 500 b. Between 200 and 300 c. Less than 200 d. More than 500

#### Solution:

As Lehman puts a minimum of 43 oranges in each carton, its nearest value to tens is 40.

He puts a maximum of 49 oranges in each carton and its nearest value to tens is 50.

In 10 cartons, the minimum number of oranges kept by Lehman is 40 * 10 = 400.

In 10 cartons, the maximum number of oranges kept by Lehman is 50 * 10 = 500.

Therefore, Lehman puts between 400 and 500 oranges in 10 cartons.

6.
During the past 8 weeks, Anna spent between $22 and$38 for magazines each week. Which could be the total amount that he spent on the magazines for the past 8 weeks?

#### Solution:

As Jerry spends minimum $3547 each week, its nearest value to hundreds is$3,500.

Maximum amount spent by him is $5285 and its nearest value to hundred is$5,300.

For 10 weeks, Jerry's minimum expenses are $3500 * 10 =$35,000.

For 10 weeks, Jerry's maximum expenses are $5300 * 10 =$53,000.

Therefore, Jerry spent between $35,000 and$53,000 for the past 10 weeks.

8.
Amy has collected 831 marbles. If she wants to collect 1,000 marbles, estimate how many more marbles she needs to collect.
 a. 200 b. 100 c. 70 d. 300

#### Solution:

Amy has collected 831 marbles 800 marbles.

She wants to collect 1,000 marbles.

So, the number of marbles she needs to collect = 1,000 - 800 = 200.

9.
Eric wants to go to his Aunt's house which is located 1,000 km away from his house. Estimate the distance Eric has to cover, if he already had traveled 560 km.
 a. 300 km b. 500 km c. 400 km d. 700 km

#### Solution:

Aunt's house is 1,000 km away from Eric's house.

He already covered 560 km 600 km.

So, the distance he has to cover = 1,000 - 600 = 400 km.

Lisa wants to buy a doll which costs $1,000. If she has$890, estimate the amount she still needs to buy the doll.
 a. $50 b.$200 c. $70 d.$100
Cost of the doll = $1,000 Lisa has$890 $900. So, Lisa still needs =$1,000 - $900 =$100.