All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 7 Lesson 8 Multiplying by Fractions Greater Than or Less Than 1 are as per the latest syllabus guidelines.
McGraw-Hill Math Grade 5 Answer Key Chapter 7 Lesson 8 Multiplying by Fractions Greater Than or Less Than 1
Solve
Tell whether the product will be less than or greater than the whole number being multiplied. Then multiply to prove your answer.
Question 1.
4 × \(\frac{6}{5}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: more than 4
Question 2.
5 × \(\frac{7}{6}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 5
Explanation:
5 × (7/6)
Product: 5.8333
Estimate: More than 5
Question 3.
7 × \(\frac{3}{3}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: 7
Explanation:
7 × (3/3)
= 7 × 1
=7
Product: 7
Estimate: 7
Question 4.
7 × \(\frac{5}{3}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 11
Explanation:
7 × (5/3)
= 35/3
Product: 11.6666
Estimate: More than 11
Tell whether the product will be less than or greater than the whole number being multiplied. Then multiply to prove your answer.
Question 5.
4 × \(\frac{5}{6}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 3
Explanation:
4 × (5/6)
= 20/6
Product: 3.3333
Estimate: More than 3
Question 6.
9 × \(\frac{7}{8}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 7
Explanation:
9 × (7/8)
= (63/8)
Product: 7.875
Estimate: More than 7
Question 7.
11 × \(\frac{15}{16}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 27
Explanation:
11 × (15/16)
= (165/16)
Product: 27.5
Estimate: More than 27
Question 8.
9 × \(\frac{3}{16}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 1
Explanation:
9 × (3/16)
= (27/16)
Product: 1.6875
Estimate: More than 1
Question 9.
9 × \(\frac{7}{16}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 3
Explanation:
9 × (7/16)
= (63/16)
Product: 3.9375
Estimate: More than 3
Question 10.
9 × \(\frac{15}{16}\)
Estimate: ________________
Product: ________________
Answer:
Estimate: More than 8
Explanation:
9 × (15/16)
= (135/16)
Product: 8.4375
Estimate: More than 8
Draw arrays to model the following and then multiply.
Question 11.
Urban Steel Company is loading several old steel beams. The beams are 12 feet long and \(\frac{4}{3}\) feet wide. Their competitor, Second Story Steel Company, is also loading several steel beams. Second Story Steel’s beams are 12 feet long and \(\frac{3}{4}\) foot wide. How do the areas of these steel beams compare? Label your arrays and show your work.
DRAWING
Answer:
The area of the beams of Urban Steel Company = 16
The area of the beams of Story Steel Company = 9
Explanation:
The length of the beams of Urban Steel Company= 12 and (4/3)
The length of the beams of Story Steel Company = 12 and (3/4)
The area of the beams of Urban Steel Company = 12 × (4/3)
= (48/3)
= 16
The area of the beams of Story Steel Company = 12 × (3/4)
= (36/4)
= 9