The diagram below shows a 4-step subtraction staircase. Each number after the first column is the result of subtracting the number on its left from the number on its top left. For example, in the light grey cells -3 - (-2) = -1 and in the dark grey cells -7 – 4 = -11. -3 -2-1 -7 6 11 17 The number in the bottom-right square of a subtraction staircase is called the target number. a Find the target number in this 4-step subtraction staircase. -1 3 -4 2.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter3: Math Models
Section3.1: Use A Problem-solving Strategy
Problem 3.20TI: Find three consecutive even integers whose sum is 24 .
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The diagram below shows a 4-step subtraction staircase. Each number
after the first column is the result of subtracting the number on its left
from the number on its top left. For example, in the light grey cells
-3 - (-2) = -1 and in the dark grey cells -7- 4 = -11.
-3
-2-1
-7
1
4.
-11
17
The number in the bottom-right square of a subtraction staircase is
called the target number.
a Find the target number in this 4-step subtraction staircase.
-1
3
-4
2.
Transcribed Image Text:The diagram below shows a 4-step subtraction staircase. Each number after the first column is the result of subtracting the number on its left from the number on its top left. For example, in the light grey cells -3 - (-2) = -1 and in the dark grey cells -7- 4 = -11. -3 -2-1 -7 1 4. -11 17 The number in the bottom-right square of a subtraction staircase is called the target number. a Find the target number in this 4-step subtraction staircase. -1 3 -4 2.
b Complete this 5-step subtraction staircase.
2
3
7
9
1
c The left column of a 3-step subtraction staircase has the numbers
-2,8, 11 in some order. Find the lowest possible target number for
such a staircase.
d Complete this 4-step subtraction staircase and include a detailed ex-
planation of your strategy.
-5
-1
Transcribed Image Text:b Complete this 5-step subtraction staircase. 2 3 7 9 1 c The left column of a 3-step subtraction staircase has the numbers -2,8, 11 in some order. Find the lowest possible target number for such a staircase. d Complete this 4-step subtraction staircase and include a detailed ex- planation of your strategy. -5 -1
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