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Determine the value of an unknown in division number sentences involving any number with a number up to two digits, 100 and 1000 within 1 000 000
Use of Unknowns
1.8
Using Unknown
We will learn to determine the value of one for a mathematical sentence.
The unknown is represented by letters.
Unknown can be in three positions in a mathematical sentence:
i.
a
× 23 = 46
ii. 114 ×
b
= 342
iii. 20 × 3 =
c
EXAMPLE OF USAGE OF UNKNOWNS IN ADDITION OPERATIONS
\(2\,183+Q=62\,985\)
Step 1 :
\(\begin{aligned} 2\,183+Q&=62\,985 \\Q&=62\,985-2\,183 \end{aligned}\)
Step 2 :
\(\begin{array}{rr} 6\space2\,\space\space9\space8\space5 \\-\quad\quad2\,\space\space1\space8\space3 \\\hline6\space0\,\space\space8\space0\space2 \\\hline \end{array}\)
EXAMPLE OF USAGE OF UNKNOWNS IN SUBTRACTION OPERATIONS
\(P-24\,396=63\,014\)
Step 1 :
\(\begin{aligned} P-24\,396&=63\,014 \\P&=63\,014+24\,396 \end{aligned}\)
Step 2 :
\(\begin{array}{rr} \small{\color{red}{1}}\space\,\small{\color{green}{1}}\space\space\space\, \\6\space3\,\space\space0\space1\space4 \\+\quad2\space4\,\space\space3\space9\space6 \\\hline8\space7\,\space\space4\space1\space0 \\\hline \end{array}\)
Use of Unknowns
1.8
Using Unknown
We will learn to determine the value of one for a mathematical sentence.
The unknown is represented by letters.
Unknown can be in three positions in a mathematical sentence:
i.
a
× 23 = 46
ii. 114 ×
b
= 342
iii. 20 × 3 =
c
EXAMPLE OF USAGE OF UNKNOWNS IN ADDITION OPERATIONS
\(2\,183+Q=62\,985\)
Step 1 :
\(\begin{aligned} 2\,183+Q&=62\,985 \\Q&=62\,985-2\,183 \end{aligned}\)
Step 2 :
\(\begin{array}{rr} 6\space2\,\space\space9\space8\space5 \\-\quad\quad2\,\space\space1\space8\space3 \\\hline6\space0\,\space\space8\space0\space2 \\\hline \end{array}\)
EXAMPLE OF USAGE OF UNKNOWNS IN SUBTRACTION OPERATIONS
\(P-24\,396=63\,014\)
Step 1 :
\(\begin{aligned} P-24\,396&=63\,014 \\P&=63\,014+24\,396 \end{aligned}\)
Step 2 :
\(\begin{array}{rr} \small{\color{red}{1}}\space\,\small{\color{green}{1}}\space\space\space\, \\6\space3\,\space\space0\space1\space4 \\+\quad2\space4\,\space\space3\space9\space6 \\\hline8\space7\,\space\space4\space1\space0 \\\hline \end{array}\)
Chapter : Whole Numbers and Basic Operations
Topic : Determine the value of an unknown in division number sentences involving any number with a number up to two digits, 100 and 1000 within 1 000 000
Year 5
Mathematics
View all notes for Mathematics Year 5
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