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Answer :
To write the number [tex]$157896$[/tex] in expanded form, we express each digit multiplied by its corresponding place value. Here’s how to do it step-by-step:
1. Write down the number and identify each digit:
[tex]$$157896$$[/tex]
The digits from left to right are: [tex]$1$[/tex], [tex]$5$[/tex], [tex]$7$[/tex], [tex]$8$[/tex], [tex]$9$[/tex], and [tex]$6$[/tex].
2. Determine the place value for each digit based on its position:
- The first digit [tex]$1$[/tex] is in the hundred-thousands place, so its value is [tex]$1 \times 100000 = 100000$[/tex].
- The second digit [tex]$5$[/tex] is in the ten-thousands place, so its value is [tex]$5 \times 10000 = 50000$[/tex].
- The third digit [tex]$7$[/tex] is in the thousands place, so its value is [tex]$7 \times 1000 = 7000$[/tex].
- The fourth digit [tex]$8$[/tex] is in the hundreds place, so its value is [tex]$8 \times 100 = 800$[/tex].
- The fifth digit [tex]$9$[/tex] is in the tens place, so its value is [tex]$9 \times 10 = 90$[/tex].
- The sixth digit [tex]$6$[/tex] is in the ones place, so its value is [tex]$6 \times 1 = 6$[/tex].
3. Combine these values to write the full expanded form:
[tex]$$157896 = 100000 + 50000 + 7000 + 800 + 90 + 6$$[/tex]
Thus, the expanded form of [tex]$157896$[/tex] is:
[tex]$$100000 + 50000 + 7000 + 800 + 90 + 6$$[/tex]
1. Write down the number and identify each digit:
[tex]$$157896$$[/tex]
The digits from left to right are: [tex]$1$[/tex], [tex]$5$[/tex], [tex]$7$[/tex], [tex]$8$[/tex], [tex]$9$[/tex], and [tex]$6$[/tex].
2. Determine the place value for each digit based on its position:
- The first digit [tex]$1$[/tex] is in the hundred-thousands place, so its value is [tex]$1 \times 100000 = 100000$[/tex].
- The second digit [tex]$5$[/tex] is in the ten-thousands place, so its value is [tex]$5 \times 10000 = 50000$[/tex].
- The third digit [tex]$7$[/tex] is in the thousands place, so its value is [tex]$7 \times 1000 = 7000$[/tex].
- The fourth digit [tex]$8$[/tex] is in the hundreds place, so its value is [tex]$8 \times 100 = 800$[/tex].
- The fifth digit [tex]$9$[/tex] is in the tens place, so its value is [tex]$9 \times 10 = 90$[/tex].
- The sixth digit [tex]$6$[/tex] is in the ones place, so its value is [tex]$6 \times 1 = 6$[/tex].
3. Combine these values to write the full expanded form:
[tex]$$157896 = 100000 + 50000 + 7000 + 800 + 90 + 6$$[/tex]
Thus, the expanded form of [tex]$157896$[/tex] is:
[tex]$$100000 + 50000 + 7000 + 800 + 90 + 6$$[/tex]
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