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Estimate Distances on a Map
Divide Whole Numbers
Make Magnitude Estimates for Quotients
Write & Solve Number Sentences
100
A map scale says that 1 inch represents 1,000 miles. If the map distance between two points is 1.5 inches, what is the real distance between the locations?
1,500 miles
100
Use a friendly number strategy to solve these problems mentally. 42 divided by 3 = Friendly Parts for 42 =
42 divided by 3 = 14 Friendly parts for 42 = 30 + 12
100
Daily Double! Why do we make magnitude estimates?
So we know what place value the answer will be in. Then, we can multiply/divide without the decimals.
100
Write an open sentence to represent the number story and use division to solve the problem. Then decide what to do about the remainder and tell why you chose what to do. Tammy has 124 photographs. She can tape 9 photos onto each page of her photo album. How many pages will she need to tape ALL of her photos in the album?
Number Sentence: 124 / 9 = p OR 9 x p = 124 Solution: 14 What does the remainder represent? The 7 photographs remaining after 13 pages have been filled. She needs to use another page to tape all of her photos in the album.
200
A map scale says that .5 inch represents 375 miles. If the map distance between two points is 1.5 inches, what is the real distance between the locations?
1,125 miles
200
Use a friendly number strategy to solve this problem mentally. 96 divided by 8 equals ___________ Friendly Parts for 96 _____________
96 divided by 8 = 12 Friendly Parts for 96: 80 + 16
200
Make a magnitude estimate (record the number sentence). Choose the appropriate place value. 70.45 / 6 = .1s 1s 10s 100s
72 / 6 = 12 10s
200
Write an open number sentence you can use to solve the number story below. Then solve the number story. Six friends split the cost of pizza. The total cost was $75. The friends split the cost evenly. How much did each friend contribute?
Open Number Sentence: 75 / 6 = c OR 6 x c = 75 Solution: $12.50
300
A map scale says that 1 inch represents 850 miles. If the map distance between two points is 1.5 inches, what is the real distance between the locations?
1,275 miles
300
Solve: 749/7 Check your answer by doing multiplication.
107 7 x 107 = 749
300
Make a magnitude estimate (record the number sentence). Choose the appropriate place value. 6.436 / 4 .1s 1s 10s 100s
8 / 4 = 2 1s
300
Find the value of x in the first number sentence. Use this value to complete the second number sentence. x = 1/2 of 2 dozen 30 * x = ?
x = 12 30 * x = 360
400
A map scale says that 1 inch represents 750 miles. If the map distance between two points is .5 inch, what is the real distance between the locations?
375 miles
400
Solve. 2,628 / 36 = Check your answer by doing multiplication.
73 Check: 73 x 36 = 2,628
400
Make a magnitude estimate (record the number sentence). Choose the appropriate place value. Then solve. 7.842 / 6 .1s 1s 10s 100s
6 / 6 = 1 1s 7.842 / 6 = 1.307
400
Find the value of x in the first number sentence. Use this value to complete the second number sentence. x = 100-96 x^2=
x = 4 x^2 = 16
500
A map scale says that .5 inch represents 250 miles. If the map distance between two points is 1.25 inches, what is the real distance between the locations?
625 miles
500
Solve. 252/30 = Check your answer with multiplication.
12 r 8 (12 x 30) + 8 = 252
500
Make a magnitude estimate (record the number sentence). Choose the appropriate place value. Then, solve. 560.1 / 3 .1s 1s 10s 100s
600 / 3 = 200 100s 560.1 / 3 = 186.7
500
Write an OPEN number sentence you can use to solve the number story below. Then solve the number story. Four friends split the cost of skiing tickets that totaled $178. How much did each friend contribute?
Number Sentence: 178 / 4 = c OR 4 x c = 178 Solution: $44.50