pication Tacts. Suppose that a child has learned the following basic multiplication facts: • The X1, ×2, X3, ×4, and X5 tables-that is, 1X1 = 1 008.012i doidw.008, 2 X 1 = 2 1X 2 = 2 1X 3 = 3 1 × 4 = 4 1 X 5 = 5 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9sh 3 X 4 = 12 3 X 5 = 15 4X1= 4 4 X 2 = 8 4X 3 = 12 4 X 4 = 16 tor 4 X 5 = 20 309i5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 for 5 X 4 = 20 5 X 5 = 25 6 X 2 = 12 6 X 3 = 18 6 X 4 = 24 d bluow do 7 X 4 = 28 itenpie 6 X 1 = 6 6 X 5 = 30 7 X1 = 7 owing 7X 2 = 14 7X3 = 21 7 X 5 = 35 doinw 8 X 1 = 8 8 X 2 = 16 8 X 3 = 24 8 X 4 = 32 8 X 5 = 40 9 X1= 9 d 9 X 2 = 18 9 X 3 = 27 9 X 4 = 36 9 X 5 = 45 • The squares 1 × 1 = 1, 2× 2 = 4, 3 × 3 = 9,..., 9 × 9 = 81. For each of the multiplication problems (a) through (c), find at least two different ways that some of the preceding facts, together with properties of arithmetic, could be used to mentally calculate the answer to the problem. Explain your answers, drawing arrays to illustrate how the following problems are related to facts in the given lists: а. 6 X 7 b. 7 X 8 с. 6 X 8

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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таcts.
3.
Suppose that a child has learned the following basic multiplication facts:
2i 0000 The ×1, ×2, ×3, ×4, and ×5 tables-that is,
19wans odi 0
1 X 1 = 1
008,01 2i doidw .008,1+ 000,
2 X 1 = 2
1 × 2 = 2
1X 3 = 3
1 × 4 = 4
1 X 5 = 5
2 X 2 = 4
2 X 3 = 6
2 X 4 = 8
2 X 5 = 10
3 X 1 = 3
3 X 2 = 6
3 X 3 = 9 sh 3 X 4 = 12
3 X 5 = 15
4 X 1 = 4 ol 4 X 2 = 8
Half
4 X 3 = 12
com
4 X 4 = 16
4 X 5 = 20
30oi 5 X 1 = 5
5 X 2 = 10
5 X 3 = 15 for 5 X 4 = 20
5 X 5 = 25
Writenpis 6 X 1 = 6
ideas. Wh7 X 1 = 7
6 X 2 = 12
6 X 3 = 18
6 X 4 = 24
od bluow doidw
7 X 4 = 28
6 X 5 = 30 miroqp
7X 2 = 14
7 X3 = 21
7 X 5 = 35
8 X 1 = 8
8 X 2 = 16
8 X 3 = 24
8 X 4 = 32
8 X 5 = 40
lo o
9 X 1 = 9 in 9 X 2 = 18
9 X 3 = 27
idw
9 × 4 = 36
9 X 5 = 45
• The squares 1 × 1 = 1, 2 × 2 = 4, 3 × 3 = 9,..., 9 × 9 = 81.
for mult
For each of the multiplication problems (a) through (c), find at least two different ways that some of the
preceding facts, together with properties of arithmetic, could be used to mentally calculate the answer to
the problem. Explain your answers, drawing arrays to illustrate how the following problems are related to
facts in the given lists:
а. 6 X 7
b. 7 X 8
с. 6 X8
Transcribed Image Text:таcts. 3. Suppose that a child has learned the following basic multiplication facts: 2i 0000 The ×1, ×2, ×3, ×4, and ×5 tables-that is, 19wans odi 0 1 X 1 = 1 008,01 2i doidw .008,1+ 000, 2 X 1 = 2 1 × 2 = 2 1X 3 = 3 1 × 4 = 4 1 X 5 = 5 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 sh 3 X 4 = 12 3 X 5 = 15 4 X 1 = 4 ol 4 X 2 = 8 Half 4 X 3 = 12 com 4 X 4 = 16 4 X 5 = 20 30oi 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 for 5 X 4 = 20 5 X 5 = 25 Writenpis 6 X 1 = 6 ideas. Wh7 X 1 = 7 6 X 2 = 12 6 X 3 = 18 6 X 4 = 24 od bluow doidw 7 X 4 = 28 6 X 5 = 30 miroqp 7X 2 = 14 7 X3 = 21 7 X 5 = 35 8 X 1 = 8 8 X 2 = 16 8 X 3 = 24 8 X 4 = 32 8 X 5 = 40 lo o 9 X 1 = 9 in 9 X 2 = 18 9 X 3 = 27 idw 9 × 4 = 36 9 X 5 = 45 • The squares 1 × 1 = 1, 2 × 2 = 4, 3 × 3 = 9,..., 9 × 9 = 81. for mult For each of the multiplication problems (a) through (c), find at least two different ways that some of the preceding facts, together with properties of arithmetic, could be used to mentally calculate the answer to the problem. Explain your answers, drawing arrays to illustrate how the following problems are related to facts in the given lists: а. 6 X 7 b. 7 X 8 с. 6 X8
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