Here are the solutions to the worksheet problems, broken down step by step.
1) Multiply the following numbers by 10, 100 and 1000.
*Rule: When multiplying by 10, add one zero. By 100, add two zeros. By 1000, add three zeros.*
a)
* $6 \times 10 = 60$
* $6 \times 100 = 600$
* $6 \times 1000 = 6000$
b)
* $51 \times 10 = 510$
* $51 \times 100 = 5100$
* $51 \times 1000 = 51000$
c)
* $382 \times 10 = 3820$
* $382 \times 100 = 38200$
* $382 \times 1000 = 382000$
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2) Fill in the missing number to complete each calculation.
a) $18 \times \text{[?]} = 180$
* To get from 18 to 180, we added one zero.
* Answer:
10
b) $\text{[?]} \times 74 = 74,000$
* The number 74 became 74,000. That is three extra zeros.
* Answer:
1000
c) $\text{[?]} = 263 \times 100$
* Add two zeros to 263.
* Answer:
26,300
d) $10 \times \text{[?]} = 590$
* Since we are multiplying by 10, remove one zero from 590 to find the missing number.
* Answer:
59
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3) Use >, < and = signs to complete each statement.
a) $78 \times 10$
[<] $78 \times 100$
* Multiplying by 100 makes a bigger number than multiplying by 10.
b) $1000 \times 38$
[=] $38 \times 100$ ... *Wait, let's check carefully.*
* Left side: $38,000$
* Right side: $3,800$
* Correction: $38,000$ is bigger than $3,800$.
* Answer:
[>]
c) $540 \times 100$
[>] $54 \times 10$
* Left side: $54,000$
* Right side: $540$
* Answer:
[>]
d) $29 \times 1000$
[=] $290 \times 100$
* Left side: $29,000$ (add three zeros to 29)
* Right side: $29,000$ (add two zeros to 290)
* They are equal.
* Answer:
[=]
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4) Draw lines to match each question with the correct answer.
* What number is 10 times more than 56? $\rightarrow$
560 ($56 \times 10$)
* What number is 100 times more than 56? $\rightarrow$
5,600 ($56 \times 100$)
* What number is 1000 times more than 211? $\rightarrow$
211,000 ($211 \times 1000$)
* What number is 10 times more than 211? $\rightarrow$
2,110 ($211 \times 10$)
* What number is 100 times more than 43? $\rightarrow$
4,300 ($43 \times 100$)
* What number is 10 times more than 43? $\rightarrow$
430 ($43 \times 10$)
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5) Answer the questions below.
a) Jed has collected 120 shells. Lola has collected 10 times as many. How many more shells does Lola have than Jed?
1. First, find out how many shells Lola has:
$120 \times 10 = 1,200$ shells.
2. Next, find the difference between Lola's amount and Jed's amount:
$1,200 - 120 = 1,080$
Answer: Lola has
1,080 more shells than Jed.
b) Ali has £3200 in her bank account. Ross has £320. Ali says she has 100 times more money than Ross. Is she correct? Explain your thinking.
1. Let's check what "100 times more" than Ross would be:
$320 \times 100 = 32,000$
2. Ali only has £3,200.
3. Let's check what Ali actually has compared to Ross:
$320 \times 10 = 3,200$
Answer: No, she is
not correct. She has
10 times more money, not 100 times. If she had 100 times more, she would have £32,000.
Parent Tip: Review the logic above to help your child master the concept of multiplying 10 100 1000 worksheet.
