diff --git a/ch05.asciidoc b/ch05.asciidoc
index 8c35af46..58b1945d 100644
--- a/ch05.asciidoc
+++ b/ch05.asciidoc
@@ -319,7 +319,7 @@ The validation software combines the locking and unlocking scripts and the resul
 2 3 OP_ADD 5 OP_EQUAL
 ----
 
-As we saw in the step-by-step example in <<simplemath_script>>, when this script is executed, the result is +OP_TRUE+, making the transaction valid. Not only is this a valid transaction output locking script, but the resulting UTXO could be spent by anyone with the arithmetic skills to know that the number 2 satisfies the script. 
+As we saw in the step-by-step example in <<simplemath_script>>, when this script is executed, the result is +OP_TRUE+, making the transaction valid. Not only is this a valid transaction output locking script, but the resulting UTXO could be spent by anyone with the arithmetic skills to know that the number 2 satisfies the script. (((range="endofrange", startref="ix_ch05-asciidoc14")))(((range="endofrange", startref="ix_ch05-asciidoc13")))
 
 [[simplemath_script]]
 .Bitcoin's script validation doing simple math
@@ -327,7 +327,7 @@ image::images/msbt_0502.png["TxScriptSimpleMathExample"]
 
 [TIP]
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-Transactions are valid if the top result on the stack is TRUE (noted as +{0x01}+), any other non-zero value or if the stack is empty after script execution. Transactions are invalid if the top value on the stack is FALSE (a zero-length empty value, noted as +{}+) or if script execution is halted explicitly by an operator, such as OP_VERIFY, OP_RETURN or a conditional terminator such as OP_ENDIF. See <<tx_script_ops>> for details.(((range="endofrange", startref="ix_ch05-asciidoc14")))(((range="endofrange", startref="ix_ch05-asciidoc13")))
+Transactions are valid if the top result on the stack is TRUE (noted as +{0x01}+), any other non-zero value or if the stack is empty after script execution. Transactions are invalid if the top value on the stack is FALSE (a zero-length empty value, noted as +{}+) or if script execution is halted explicitly by an operator, such as OP_VERIFY, OP_RETURN or a conditional terminator such as OP_ENDIF. See <<tx_script_ops>> for details.
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